10.60507/FK2/KZHXDFSmoch, ChristophChristophSmochUniversity of BonnSimon, StefanStefanSimonRumpf, MartinMartinRumpfUniversity of BonnImplementation of Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfacesbonndata2024Mathematical SciencesSmoch, ChristophChristophSmochUniversity of Bonn2023-12-182024-01-0410.1137/21M145529216040171278114511451183852713709310901115102340207159242575271623645501955839135672161548689424706182119931265426492780605256325795155281552882275268318628183991405421405398095580773506956572013671136713357633576351153511626852593291524784144364474245133004141413730687118384498146511826182639143914462564406914250142531362213621137611534012443124438492819088502136022614341000129059137814464192069761028681117444475046398890232215256502340987329913416540399523177128115162861413702890692077847934362802961340019708800933399531065621881366177011014682100101147864962424745387068821874256249809214414112187408938106371122701402137011589620369306130251137159737738730727925160105837541495461335260496758498434452382942902352583726531492336430664254234228047451117811260937542928071725533066792227191446267461430574024280256145952024116511820435280616620871200044495629213581431658991177699207411284925330413336146656350121888761776902098266001617913122841567725187458288433218417604247131525024850479302166999393131446140914461409150015302298204132231840318418032748200019721554270414031533application/octet-streamtext/x-ctext/plaintext/plaintext/plaintext/plainapplication/octet-streamtext/x-ctext/x-ctext/x-capplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamtext/markdownapplication/octet-streamtext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-capplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamtext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-capplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/x-shapplication/octet-streamapplication/octet-streamtext/plainapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamtext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/plaintext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-capplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamtext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-capplication/octet-streamtext/x-capplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamtext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-ctext/x-capplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-stream1.0MITThis 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.