1 citations · 2 across the 2 of their papers we have counts for
5 papers
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…
Construction of approximate bases for isogeometric analysis on two-patch domains
Pascal Weinmüller, Thomas Takacs
In this paper, we develop and study approximately smooth basis constructions for isogeometric analysis over two-patch domains. One key element of isogeometric analysis is that it a…
A family of quadrilateral finite elements
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
We present a novel family of quadrilateral finite elements, which define global spaces over a general quadrilateral mesh with vertices of arbitrary valency. The element…
A super-smooth spline space over planar mixed triangle and quadrilateral meshes
Jan Grošelj, Mario Kapl, Marjeta Knez +2
In this paper we introduce a spline space over mixed meshes composed of triangles and quadrilaterals, suitable for FEM-based or isogeometric analysis. In this context, a mesh…
Manifold-based B-splines on unstructured meshes
Qiaoling Zhang, Thomas Takacs, Fehmi Cirak
We introduce new manifold-based splines that are able to exactly reproduce B-splines on unstructured surface meshes. Such splines can be used in isogeometric analysis (IGA) to repr…