62 citations · 213 across the 26 of their papers we have counts for
7 papers · 1 filter
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…
A comparison of smooth basis constructions for isogeometric analysis
H. M. Verhelst, P. Weinmüller, A. Mantzaflaris +2
In order to perform isogeometric analysis with increased smoothness on complex domains, trimming, variational coupling or unstructured spline methods can be used. The latter two cl…
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…
Isogeometric mortar method
Andrea Benvenuti, Gabriele Loli, Giancarlo Sangalli +1
We present an isogeometric mortar method for the discretization of the biharmonic equation posed on multi-patch domains. We assume only -conformity at interfaces and employs a…
-smooth isogeometric spline functions of general degree over planar mixed meshes: The case of two quadratic mesh elements
Jan Grošelj, Mario Kapl, Marjeta Knez +2
Splines over triangulations and splines over quadrangulations (tensor product splines) are two common ways to extend bivariate polynomials to splines. However, combination of both…