Mathematical foundations of adaptive isogeometric analysis
This paper reviews the state of the art and discusses recent developments in the field of
adaptive isogeometric analysis, with special focus on the mathematical theory. This includes …
adaptive isogeometric analysis, with special focus on the mathematical theory. This includes …
A Review of T-spline Surfaces
H Ren, H Shou, H Lin - Recent Patents on Engineering, 2022 - ingentaconnect.com
Background: Curved modeling technology originated from the geometric lofting and design
of aircrafts, automobiles and ships. The control points of the traditional B-spline mesh should …
of aircrafts, automobiles and ships. The control points of the traditional B-spline mesh should …
[HTML][HTML] Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations
G Gantner, D Praetorius - Computers & Mathematics with Applications, 2022 - Elsevier
We formulate and analyze an adaptive algorithm for isogeometric analysis with hierarchical
B-splines for weakly-singular boundary integral equations. We prove that the employed …
B-splines for weakly-singular boundary integral equations. We prove that the employed …
Stable Implementation of Adaptive IGABEM in 2D in MATLAB
G Gantner, D Praetorius, S Schimanko - Computational Methods in …, 2022 - degruyter.com
We report on the Matlab program package IGABEM2D which provides an easily accessible
implementation of adaptive Galerkin boundary element methods in the frame of …
implementation of adaptive Galerkin boundary element methods in the frame of …
Adaptive BEM for elliptic PDE systems, part I: abstract framework, for weakly-singular integral equations
G Gantner, D Praetorius - Applicable Analysis, 2022 - Taylor & Francis
In the present work, we consider weakly-singular integral equations arising from linear
second-order elliptic PDE systems with constant coefficients, including, eg linear elasticity …
second-order elliptic PDE systems with constant coefficients, including, eg linear elasticity …
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis
G Gantner, M Vohralík - arXiv preprint arXiv:2210.08854, 2022 - arxiv.org
We consider isogeometric discretizations of the Poisson model problem, focusing on high
polynomial degrees and strong hierarchical refinements. We derive a posteriori error …
polynomial degrees and strong hierarchical refinements. We derive a posteriori error …
Adaptive isogeometric phase-field modeling of weak and strong discontinuities
The development of innovative products demands multi-material lightweight designs with
complex heterogeneous local material structures. Their computer-aided engineering relies …
complex heterogeneous local material structures. Their computer-aided engineering relies …
Inexpensive polynomial-degree-and number-of-hanging-nodes-robust equilibrated flux a posteriori estimates for isogeometric analysis
G Gantner, M Vohralík - 2022 - hal.univ-smb.fr
We consider isogeometric discretizations of the Poisson model problem, focusing on high
polynomial degrees and strong hierarchical refinements. We derive a posteriori error …
polynomial degrees and strong hierarchical refinements. We derive a posteriori error …
MATHICSE Technical Report: Mathematical Foundations of Adaptive Isogeometric Analysis
This paper reviews the state of the art and discusses recent developments in the field of
adaptive isogeometric analysis, with special focus on the mathematical theory. This includes …
adaptive isogeometric analysis, with special focus on the mathematical theory. This includes …