16 citations · 20 across the 5 of their papers we have counts for
5 papers
Adaptive optimization of isogeometric multi-patch discretizations using artificial neural networks
Dany Rios, Felix Scholz, Thomas Takacs
In isogeometric analysis, isogeometric function spaces are employed for accurately representing the solution to a partial differential equation (PDE) on a parameterized domain. The…
IGA Using Offset-based Overlapping Domain Parameterizations
Somayeh Kargaran, Bert Jüttler, Thomas Takacs
Isogeometric analysis (IGA) is a numerical method that connects computer-aided design (CAD) with finite element analysis (FEA). In CAD the computational domain is usually represent…
Construction of Smooth Isogeometric Function Spaces on Singularly Parameterized Domains
Thomas Takacs
We aim at constructing a smooth basis for isogeometric function spaces on domains of reduced geometric regularity. In this context an isogeometric function is the composition of a…
Imposing nonlocal boundary conditions in Galerkin-type methods based on non-interpolatory functions
Svajūnas Sajavičius, Thomas Takacs
The imposition of inhomogeneous Dirichlet (essential) boundary conditions is a fundamental challenge in the application of Galerkin-type methods based on non-interpolatory function…
Approximation properties over self-similar meshes of curved finite elements and applications to subdivision based isogeometric analysis
Thomas Takacs
In this study we consider domains that are composed of an infinite sequence of self-similar rings and corresponding finite element spaces over those domains. The rings are paramete…