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Part 1: Document Description
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Citation |
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Title: |
Implementation of Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces |
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Identification Number: |
doi:10.60507/FK2/KZHXDF |
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Distributor: |
bonndata |
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Date of Distribution: |
2024-01-04 |
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Version: |
1 |
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Bibliographic Citation: |
Smoch, Christoph; Simon, Stefan; Rumpf, Martin, 2024, "Implementation of Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces", https://doi.org/10.60507/FK2/KZHXDF, bonndata, V1 |
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Citation |
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Title: |
Implementation of Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces |
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Identification Number: |
doi:10.60507/FK2/KZHXDF |
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Authoring Entity: |
Smoch, Christoph (University of Bonn) |
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Simon, Stefan (University of Bonn) |
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Rumpf, Martin (University of Bonn) |
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Software used in Production: |
C++ |
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Distributor: |
bonndata |
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Access Authority: |
Smoch, Christoph |
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Depositor: |
Smoch, Christoph |
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Date of Deposit: |
2023-12-18 |
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Holdings Information: |
https://doi.org/10.60507/FK2/KZHXDF |
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Study Scope |
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Keywords: |
Mathematical Sciences |
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Abstract: |
This is an implementation of the finite element approximation of large-scale isometric deformations of parametrized surfaces using the Discrete Kirchhoff Triangle (DKT) Finite Element, together with a point-wise nonlinear isometry constraint. The solution of this nonlinear problem is obtained by Newton's method from the IPOPT library. |
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Methodology and Processing |
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Sources Statement |
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Data Access |
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Notes: |
<a href="https://mit-license.org/">MIT</a> |
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Other Study Description Materials |
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Related Publications |
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Citation |
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Title: |
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces. M. Rumpf, S.Simon, C.Smoch. SIAM Journal on Numerical Analysis, 60(5):2945–2962, 2022. |
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Identification Number: |
10.1137/21M1455292 |
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Bibliographic Citation: |
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces. M. Rumpf, S.Simon, C.Smoch. SIAM Journal on Numerical Analysis, 60(5):2945–2962, 2022. |
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README.md |
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Describes how to install third-party software to build this project |
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text/markdown |
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2x1rectangleSubdiv0.vtk |
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application/octet-stream |
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circ64.vtk |
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application/octet-stream |
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circ64_loopSubdiv1.vtk |
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application/octet-stream |
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circ64_loopSubdiv2.vtk |
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application/octet-stream |
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circ64_loopSubdiv3.vtk |
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application/octet-stream |
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circ64_loopSubdiv4.vtk |
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application/octet-stream |
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circ64_subdiv1.vtk |
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application/octet-stream |
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circ64_subdiv2.vtk |
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application/octet-stream |
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circ64_subdiv3.vtk |
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application/octet-stream |
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circ64_subdiv4.vtk |
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application/octet-stream |
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circ8.vtk |
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application/octet-stream |
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circ8_loopSubdiv1.vtk |
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application/octet-stream |
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circ8_loopSubdiv2.vtk |
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application/octet-stream |
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circ8_loopSubdiv3.vtk |
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application/octet-stream |
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circ8_loopSubdiv4.vtk |
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application/octet-stream |
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circ8_radius1_LoopSubdiv1.vtk |
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application/octet-stream |
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circ8_radius1_LoopSubdiv2.vtk |
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application/octet-stream |
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circ8_radius1_LoopSubdiv3.vtk |
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application/octet-stream |
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circ8_radius1_LoopSubdiv4.vtk |
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application/octet-stream |
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circ8_subdiv1.vtk |
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application/octet-stream |
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circ8_subdiv2.vtk |
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application/octet-stream |
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circ8_subdiv3.vtk |
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application/octet-stream |
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circ8_subdiv4.vtk |
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application/octet-stream |
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cylinderSubdiv2.vtk |
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application/octet-stream |
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cylinderSubdiv3.vtk |
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application/octet-stream |
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cylinderSubdiv4.vtk |
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application/octet-stream |
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cylinderSubdiv5.vtk |
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application/octet-stream |
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cylinderSubdiv6.vtk |
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application/octet-stream |
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Lshape_subdiv1.vtk |
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application/octet-stream |
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Lshape_subdiv2.vtk |
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application/octet-stream |
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Lshape_subdiv3.vtk |
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application/octet-stream |
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Lshape_subdiv4.vtk |
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application/octet-stream |
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Lshape_subdiv5.vtk |
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application/octet-stream |
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Lshape_subdiv6.vtk |
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application/octet-stream |
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boxHalfCylinderTopBottom.vtk |
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application/octet-stream |
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boxHalfSphereLeftRight.vtk |
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application/octet-stream |
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boxPlateHalfLeft.vtk |
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application/octet-stream |
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boxPlateLeft.vtk |
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application/octet-stream |
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halfsphere_subdiv1.vtk |
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application/octet-stream |
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halfsphere_subdiv2.vtk |
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application/octet-stream |
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halfsphere_subdiv3.vtk |
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application/octet-stream |
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halfsphere_subdiv4.vtk |
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application/octet-stream |
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halfsphere_subdiv5.vtk |
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application/octet-stream |
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sphere_subdiv1.vtk |
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application/octet-stream |
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sphere_subdiv2.vtk |
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application/octet-stream |
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sphere_subdiv3.vtk |
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application/octet-stream |
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sphere_th20_phi20_subdiv0.vtk |
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application/octet-stream |
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sphere_th20_phi20_subdiv1.vtk |
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application/octet-stream |
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sphere_th20_phi20_subdiv2.vtk |
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application/octet-stream |
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sphere_th9_phi9.vtk |
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application/octet-stream |
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unitSquareSubdiv0.vtk |
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application/octet-stream |
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unitSquareSubdiv1.vtk |
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application/octet-stream |
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unitSquareSubdiv1_withTangentSpace.vtk |
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application/octet-stream |
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unitSquareSubdiv2.vtk |
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application/octet-stream |
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unitSquareSubdiv3.vtk |
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application/octet-stream |
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unitSquareSubdiv3_withTangentSpace.vtp |
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application/octet-stream |
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unitSquareSubdiv4CrissCross.vtk |
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application/octet-stream |
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unitSquareSubdiv4CrissCross.vtp |
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application/octet-stream |
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unitSquareSubdiv4CrissCross1.vtk |
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application/octet-stream |
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unitSquareSubdiv4Hex.vtp |
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application/octet-stream |
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unitSquareSubdiv4_withTangentSpace.vtk |
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application/octet-stream |
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unitSquareSubdiv4_withTangentSpace.vtp |
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application/octet-stream |
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unitSquareSubdiv5.vtk |
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application/octet-stream |
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unitSquareSubdiv6.vtk |
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application/octet-stream |
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unitSquareSubdiv7.vtk |
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application/octet-stream |
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counter.txt |
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Notes: |
text/plain |
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HalfCylinder_Test.ini |
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application/octet-stream |
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OptDeformIsometryLin.ini |
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application/octet-stream |
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OptDeformIsometryNonLin.ini |
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application/octet-stream |
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OptDeformNonLin.ini |
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application/octet-stream |
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Plate_Test.ini |
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application/octet-stream |
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Saddle_Test.ini |
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application/octet-stream |
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Circle_BdrMiddle_constLoad.ini |
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application/octet-stream |
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ShellMatOpt_ExampleCircle1.ini |
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application/octet-stream |
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ShellMatOpt_ExampleCircle2.ini |
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application/octet-stream |
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HalfCylinder_ChartPlate_BdrAll_centeredLoad.ini |
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application/octet-stream |
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HalfCylinder_ChartPlate_BdrTB_constLoad.ini |
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application/octet-stream |
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vtkPlotInterface_Cylinder.ini |
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application/octet-stream |
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vtkPlotInterface_Cylinder_Stress.ini |
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application/octet-stream |
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vtkPlotInterface_Cylinder_Undeformed.ini |
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application/octet-stream |
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Plate_BdrAll_centeredLoad.ini |
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application/octet-stream |
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Plate_BdrAll_constLoad.ini |
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application/octet-stream |
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Plate_BdrL_constLoad.ini |
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application/octet-stream |
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vtkPlotInterface_Plate_BdrAll.ini |
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application/octet-stream |
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vtkPlotInterface_Plate_BdrL.ini |
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application/octet-stream |
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vtkPlotInterface_Plate_Stress.ini |
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application/octet-stream |
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vtkPlotInterface_Plate_Undeformed.ini |
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application/octet-stream |
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ShellMatOpt_ExamplePlateLR1.ini |
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application/octet-stream |
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ShellMatOpt_ExampleQuad1.ini |
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application/octet-stream |
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HalfSphere_ChartCircle_BdrAll_centeredLoad.ini |
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application/octet-stream |
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HalfSphere_ChartCircle_BdrAll_constLoad.ini |
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application/octet-stream |
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HalfSphere_ChartCircle_BdrLR_constLoad.ini |
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application/octet-stream |
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vtkPlotInterface_HalfSphere.ini |
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application/octet-stream |
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vtkPlotInterface_HalfSphere_BdrLR.ini |
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application/octet-stream |
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vtkPlotInterface_HalfSphere_Stress.ini |
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application/octet-stream |
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vtkPlotInterface_HalfSphere_Undeformed.ini |
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application/octet-stream |
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vtkPlotCell1D.ini |
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application/octet-stream |
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vtkPlotCell1DStress.ini |
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application/octet-stream |
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vtkPlotCell2D.ini |
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application/octet-stream |
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vtkPlotCell2DStress.ini |
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application/octet-stream |
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vtkPlotCell3D.ini |
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application/octet-stream |
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vtkPlotCell3DStress.ini |
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application/octet-stream |
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vtkPlotPlate.ini |
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application/octet-stream |
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vtkPlotPlateStress.ini |
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application/octet-stream |
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cmake.selection.default |
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application/octet-stream |
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CMakeLists.txt |
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text/plain |
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doxygen.conf |
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text/plain |
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EigenBiCGSTAB_New.h |
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text/x-c |
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EigenGMRES_New.h |
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text/x-c |
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EigenProjectedPCG_New.h |
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text/x-c |
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includesEigen.h |
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text/x-c |
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pesoptTensor.h |
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text/x-c |
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pesopt_Eigen.h |
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text/x-c |
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includesIpopt.h |
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text/x-c |
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ipoptBoxConstraintSolver.h |
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text/x-c |
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ipoptNonlinearConstraintSolver.h |
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text/x-c |
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pesopt_Ipopt.h |
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text/x-c |
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includesVTK.h |
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text/x-c |
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pesopt_VTK.h |
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text/x-c |
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VTKInterfaceExtractor.h |
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text/x-c |
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VTKMeshSaver.h |
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text/x-c |
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VTKSaver.h |
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text/x-c |
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VTKtoPNGPlotter.h |
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text/x-c |
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dktFEAdaptiveMesh.h |
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text/x-c |
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dktFEAdaptiveRefinement.h |
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text/x-c |
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dktFEBaseFunctionSets.h |
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text/x-c |
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dktFEBoundary.h |
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text/x-c |
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dktFEConfigurators.h |
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text/x-c |
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dktFEDefines.h |
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text/x-c |
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dktFEEvaluateCurvature.h |
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text/x-c |
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dktFEFunctionEvaluator.h |
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text/x-c |
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dktFEHandler.h |
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text/x-c |
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dktFEIntegrator.h |
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text/x-c |
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dktFEMaterialOptimizationDefines.h |
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text/x-c |
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dktFEMesh.h |
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text/x-c |
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dktFEMeshGenerator.h |
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text/x-c |
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dktFEMeshInfo.h |
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text/x-c |
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dktFEPlateElement.h |
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text/x-c |
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dktFEQuadrature.h |
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text/x-c |
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dktFEVTKPlotter.h |
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Notes: |
text/x-c |
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pesopt_DKT.h |
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text/x-c |
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derivativeTest.h |
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text/x-c |
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energyDefines.h |
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text/x-c |
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expliciteFunction.h |
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text/x-c |
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feAdaptiveRefinement.h |
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text/x-c |
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feBaseFunctionSet.h |
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text/x-c |
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feBoundaryHandler.h |
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text/x-c |
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feBoundaryIntegrator.h |
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text/x-c |
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feConfigurator.h |
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text/x-c |
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feDefines.h |
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text/x-c |
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feFunctionEvaluator.h |
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text/x-c |
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feIntegrator.h |
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text/x-c |
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feMaterialGenerator.h |
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text/x-c |
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feMeshGenerator.h |
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text/x-c |
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feQuadrature.h |
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text/x-c |
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pesopt_fe.h |
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text/x-c |
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Label: |
pesopt_quocFE.h |
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text/x-c |
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Label: |
quocFEAdaptiveRefinement.h |
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text/x-c |
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quocFEBaseFunctionSets.h |
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text/x-c |
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quocFEBoundaryHandler.h |
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text/x-c |
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quocFEBoundaryIntegrator.h |
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text/x-c |
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quocFEConfigurators.h |
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text/x-c |
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quocFEDefines.h |
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text/x-c |
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quocFEElement.h |
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text/x-c |
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quocFEMesh.h |
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text/x-c |
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quocFEMeshGenerator.h |
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text/x-c |
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quocFEQuadrature.h |
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text/x-c |
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quocFESplineBaseFunctionSets.h |
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text/x-c |
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quocFESplineConfigurators.h |
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text/x-c |
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pesopt_triangleFE.h |
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text/x-c |
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triangleFEAdaptiveRefinement.h |
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text/x-c |
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triangleFEBaseFunctionSets.h |
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text/x-c |
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triangleFEBoundaryHandler.h |
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text/x-c |
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triangleFEConfigurators.h |
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text/x-c |
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triangleFEDefines.h |
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text/x-c |
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triangleFEElement.h |
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text/x-c |
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triangleFEMesh.h |
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text/x-c |
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triangleFEMeshGenerator.h |
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text/x-c |
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triangleFEQuadrature.h |
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text/x-c |
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pesoptBoostIO.h |
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text/x-c |
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pesoptCoreIO.h |
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text/x-c |
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Label: |
pesoptImageIO.h |
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text/x-c |
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pesoptLatexIO.h |
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text/x-c |
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pesopt_IO.h |
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text/x-c |
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Label: |
matOptBoundaryHandler.h |
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Notes: |
text/x-c |
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Label: |
matOptDefines.h |
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Notes: |
text/x-c |
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Label: |
matOptEnergies.h |
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Notes: |
text/x-c |
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Label: |
matOptMultipleLoad.h |
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Notes: |
text/x-c |
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Label: |
matOptSolver.h |
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Notes: |
text/x-c |
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Label: |
matOptTexPlotter.h |
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Notes: |
text/x-c |
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Label: |
matOptVTKPlotter.h |
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Notes: |
text/x-c |
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Label: |
pesopt_matOpt.h |
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Notes: |
text/x-c |
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Label: |
linearSystemSolver.h |
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Notes: |
text/x-c |
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Label: |
lineSearchMethods.h |
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Notes: |
text/x-c |
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Label: |
solverInfo.h |
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Notes: |
text/x-c |
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Label: |
ahmedPGMRes.h |
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Notes: |
text/x-c |
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Label: |
ahmedPGMRes_Quoc.h |
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Notes: |
text/x-c |
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Label: |
BashCompareThickness.cpp |
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Notes: |
text/x-c |
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Label: |
CMakeLists.txt |
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Notes: |
text/plain |
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Label: |
ShellBucklingTikzPlotter.h |
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text/x-c |
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Label: |
ShellCurvature.h |
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