Implementation of Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces
type: Dataset
creator: Smoch, Christoph
  type: Person
  given name: Christoph
  family name: Smoch
  affiliation: University of Bonn
date published: 2024-01-04
date modified: 2024-01-04
version: 1
description: 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.
keywords: Mathematical Sciences
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.
license: https://mit-license.org/
distribution: README.md
distribution: 2x1rectangleSubdiv0.vtk
distribution: circ64.vtk
distribution: circ64_loopSubdiv1.vtk
distribution: circ64_loopSubdiv2.vtk
distribution: circ64_loopSubdiv3.vtk
distribution: circ64_loopSubdiv4.vtk
distribution: circ64_subdiv1.vtk
distribution: circ64_subdiv2.vtk
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distribution: circ64_subdiv4.vtk
distribution: circ8.vtk
distribution: circ8_loopSubdiv1.vtk
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distribution: circ8_loopSubdiv4.vtk
distribution: circ8_radius1_LoopSubdiv1.vtk
distribution: circ8_radius1_LoopSubdiv2.vtk
distribution: circ8_radius1_LoopSubdiv3.vtk
distribution: circ8_radius1_LoopSubdiv4.vtk
distribution: circ8_subdiv1.vtk
distribution: circ8_subdiv2.vtk
distribution: circ8_subdiv3.vtk
distribution: circ8_subdiv4.vtk
distribution: cylinderSubdiv2.vtk
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distribution: cylinderSubdiv6.vtk
distribution: Lshape_subdiv1.vtk
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distribution: Lshape_subdiv3.vtk
distribution: Lshape_subdiv4.vtk
distribution: Lshape_subdiv5.vtk
distribution: Lshape_subdiv6.vtk
distribution: boxHalfCylinderTopBottom.vtk
distribution: boxHalfSphereLeftRight.vtk
distribution: boxPlateHalfLeft.vtk
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distribution: sphere_subdiv3.vtk
distribution: sphere_th20_phi20_subdiv0.vtk
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distribution: sphere_th20_phi20_subdiv2.vtk
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distribution: unitSquareSubdiv7.vtk
distribution: counter.txt
distribution: HalfCylinder_Test.ini
distribution: OptDeformIsometryLin.ini
distribution: OptDeformIsometryNonLin.ini
distribution: OptDeformNonLin.ini

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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description: Describes how to install third-party software to build this project

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