62 citations · 213 across the 26 of their papers we have counts for
5 papers · 1 filter
Convergence of Tikhonov regularization for solving ill-posed operator equations with solutions defined on surfaces
Guozhi Dong, Bert Juettler, Otmar Scherzer +1
We study Tikhonov regularization for solving ill--posed operator equations where the solutions are functions defined on surfaces. One contribution of this paper is an error analysi…
Analysis-suitable multi-patch parametrizations for isogeometric spaces
Annabelle Collin, Giancarlo Sangalli, Thomas Takacs
One key feature of isogeometric analysis is that it allows smooth shape functions. Indeed, when isogeometric spaces are constructed from -degree splines (and extensions, such as…
Unstructured spline spaces for isogeometric analysis based on spline manifolds
Giancarlo Sangalli, Thomas Takacs, Rafael Vázquez
Based on spline manifolds we introduce and study a mathematical framework for analysis-suitable unstructured B-spline spaces. In this setting the parameter domain has a manifold st…
Approximation properties of isogeometric function spaces on singularly parameterized domains
Thomas Takacs
We study approximation error bounds of isogeometric function spaces on a specific type of singularly parameterized domains. In this context an isogeometric function is the composit…
Approximation error estimates and inverse inequalities for B-splines of maximum smoothness
Stefan Takacs, Thomas Takacs
In this paper, we develop approximation error estimates as well as corresponding inverse inequalities for B-splines of maximum smoothness, where both the function to be approximate…