Construction of analysis-suitable $G^1$ planar multi-patch parameterizations

Giancarlo Sangalli , Mario Kapl , Thomas Takacs
arXiv: Numerical Analysis

73
2017
Analysis-suitable $G^1$ multi-patch parametrizations for $C^1$ isogeometric spaces

Giancarlo Sangalli , Annabelle Collin , Thomas Takacs
arXiv: Numerical Analysis

119
2015
Approximation error estimates and inverse inequalities for B-splines of maximum smoothness

Thomas Takacs , Stefan Takacs
Mathematical Models and Methods in Applied Sciences 26 ( 07) 1411 -1445

53
2016
Imposing nonlocal boundary conditions in Galerkin-type methods based on non-interpolatory functions

Svajūnas Sajavičius , Thomas Takacs
Computers & Mathematics With Applications 80 ( 12) 2877 -2895

2020
A super-smooth C1 spline space over planar mixed triangle and quadrilateral meshes

Jan Grošelj , Mario Kapl , Marjeta Knez , Thomas Takacs
Computers & Mathematics With Applications 80 ( 12) 2623 -2643

2020
Derivatives of isogeometric functions on n-dimensional rational patches in R d

Thomas Takacs , Bert Jüttler , Otmar Scherzer
Computer Aided Geometric Design 31 ( 7) 567 -581

5
2014
Dimension and basis construction for analysis-suitable $G^1$ two-patch parameterizations

Mario Kapl , Giancarlo Sangalli , Thomas Takacs
Computer Aided Geometric Design 52 75 -89

46
2017
Unstructured spline spaces for isogeometric analysis based on spline manifolds

Giancarlo Sangalli , Thomas Takacs , Rafael Vázquez
Computer Aided Geometric Design 47 61 -82

16
2016
An isogeometric C1 subspace on unstructured multi-patch planar domains

Mario Kapl , Giancarlo Sangalli , Thomas Takacs
Computer Aided Geometric Design 69 55 -75

45
2019
Smooth multi-patch discretizations in Isogeometric Analysis

Thomas J.R. Hughes , Giancarlo Sangalli , Thomas Takacs , Deepesh Toshniwal
Handbook of Numerical Analysis 22 467 -543

19
2020
Isogeometric analysis with $C^1$ functions on planar, unstructured quadrilateral meshes

Mario Kapl , Giancarlo Sangalli , Thomas Takacs
The SMAI journal of computational mathematics 67 -86

2
2019
Almost-C1 splines: Biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems

Thomas Takacs , Deepesh Toshniwal
Computer Methods in Applied Mechanics and Engineering 403 115640

11
2023
An approximate C1 multi-patch space for isogeometric analysis with a comparison to Nitsche’s method

Pascal Weinmüller , Thomas Takacs
Computer Methods in Applied Mechanics and Engineering 401 115592

5
2022
A comparison of smooth basis constructions for isogeometric analysis

Hugo M Verhelst , Pascal Weinmüller , Angelos Mantzaflaris , Thomas Takacs
Computer Methods in Applied Mechanics and Engineering 419 116659 -116659

2
2024
Manifold-based B-splines on unstructured meshes

Qiaoling Zhang , Thomas Takacs , Fehmi Cirak
Isogeometric Analysis and Applications 2018 3 243 -262

4
2021
Manifold-based B-splines on unstructured meshes

Fehmi Cirak , Thomas Takacs , Qiaoling Zhang

Locally refined quad meshing for linear elasticity problems based on convolutional neural networks

Chiu Ling Chan , Felix Scholz , Thomas Takacs
Engineering with Computers 38 ( 5) 4631 -4652

8
2022
Isogeometric analysis with C1-smooth functions over multi-patch surfaces

Andrea Farahat , Bert Jüttler , Mario Kapl , Thomas Takacs
Computer Methods in Applied Mechanics and Engineering 403 115706 -115706

13
2023
Convergence of Tikhonov regularization for solving ill-posed operator equations with solutions defined on surfaces

Guozhi Dong , Bert Jüttler , Otmar Scherzer , Thomas Takacs
arXiv preprint arXiv:1510.07028

6
2015
Derivatives of isogeometric test functions

Thomas Takacs , Bert Jüttler
Proceedings of The Mathematics of Surfaces XIV’, Institute of Mathematics and its Applications, Birmingham, UK 345 -364

2
2013