62 citations · 213 across the 26 of their papers we have counts for
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math.NA2022★ 1 cited
Locally refined quad meshing for linear elasticity problems based on convolutional neural networks
Chiu Ling Chan, Felix Scholz, Thomas Takacs
In this paper we propose a method to generate suitably refined finite element meshes using neural networks. As a model problem we consider a linear elasticity problem on a planar d…
math.NA2022★ 15 cited
An approximate multi-patch space for isogeometric analysis with a comparison to Nitsche's method
Pascal Weinmüller, Thomas Takacs
We present an approximately -smooth multi-patch spline construction which can be used in isogeometric analysis (IGA). A key property of IGA is that it is simple to achieve hig…
math.NA2022★ 21 cited
Almost- splines: Biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems
Thomas Takacs, Deepesh Toshniwal
Isogeometric Analysis generalizes classical finite element analysis and intends to integrate it with the field of Computer-Aided Design. A central problem in achieving this objecti…