Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods
type: Item
instance of: scholarly article
title: Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods
zbMATH Open document ID: 1441.65114
author: Thomas Führer
author: Gregor Gantner
author: Stefan Schimanko
author: Dirk Praetorius
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2020-04-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1808.04585
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65F08
zbMATH DE Number: 7190215
zbMATH Keywords: preconditioner
zbMATH Keywords: multilevel additive Schwarz
zbMATH Keywords: isogeometric analysis
zbMATH Keywords: boundary element methods
describes a project that uses: HILBERT
MaRDI profile type: Publication
OpenAlex ID: W2885190198
arXiv ID: 1808.04585
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Isogeometric Analysis
cites work: Mathematical analysis of variational isogeometric methods
cites work: Isogeometric boundary element analysis using unstructured T-splines
cites work: A two-dimensional isogeometric boundary element method for elastostatic analysis
cites work: Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems
cites work: Isogeometric symmetric Galerkin boundary element method for three-dimensional elasticity problems
cites work: From computer aided design to wavelet BEM
cites work: An application of fast multipole method to isogeometric boundary element method for Laplace equation in two dimensions
cites work: Fast isogeometric boundary element method based on independent field approximation
cites work: A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems
cites work: Nonsingular isogeometric boundary element method for Stokes flows in 3D
cites work: Evaluation of hypersingular and nearly singular integrals in the isogeometric boundary element method for acoustics
cites work: Efficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM
cites work: Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations
cites work: Adaptive 2D IGA boundary element methods
cites work: Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations
cites work: The Conditioning of Boundary Element Equations on Locally Refined Meshes and Preconditioning by Diagonal Scaling
cites work: Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements
cites work: Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations
cites work: Adaptive BEM with inexact PCG solver yields almost optimal computational costs
cites work: Adaptive-Additive Multilevel Methods for Hypersingular Integral Equation
cites work: Additive schwarz methods for the H-version boundary element method
cites work: Hierarchical basis preconditioners for first kind integral equations
cites work: Multilevel diagonal scaling preconditioners for boundary element equations on locally refined meshes
cites work: Efficient algorithms for the \(p\)-version of the boundary element method
cites work: Optimal additive Schwarz methods for the \(hp\)-BEM: the hypersingular integral operator in 3D on locally refined meshes
cites work: Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple Preconditioners
cites work: The construction of some efficient preconditioners in the boundary element method
cites work: Mesh-Independent Operator Preconditioning for Boundary Elements on Open Curves
cites work: BPX-preconditioning for isogeometric analysis
cites work: Multigrid methods for isogeometric discretization
cites work: Isogeometric preconditioners based on fast solvers for the Sylvester equation
cites work: A robust multigrid method for isogeometric analysis in two dimensions using boundary correction
cites work: Robust approximation error estimates and multigrid solvers for isogeometric multi-patch discretizations
cites work: Multigrid methods for isogeometric analysis with THB-splines
cites work: BDDC preconditioners for isogeometric analysis
cites work: Isogeometric BDDC preconditioners with deluxe scaling
cites work: Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners
cites work: Q4953888
cites work: Boundary Element Methods
cites work: Numerical Approximation Methods for Elliptic Boundary Value Problems
cites work: Adaptive BEM for elliptic PDE systems. II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations
cites work: Finite elements on degenerate meshes: inverse-type inequalities and applications
cites work: Energy norm based error estimators for adaptive BEM for hypersingular integral equations
cites work: Q4326651
cites work: Q4732062
cites work: Multilevel Schwarz methods
cites work: Q4825126
cites work: Q742842
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: Q4414854
cites work: On the multi-level splitting of finite element spaces
DOI: 10.1016/J.CMA.2019.03.038
Recommended article: Overlapping additive Schwarz preconditioners for boundary element methods
Recommended article: Additive Schwarz preconditioners for a fully-discrete and symmetric boundary element method
Recommended article: A Comparison of Additive Schwarz Preconditioners for Parallel Adaptive Finite Elements

Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods (Recommended article)
Recommended article: An optimal Schwarz preconditioner for a class of parallel adaptive finite elements
Similarity Score: 0.89534116
Recommender Run: Recommender Run 3

Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods (Recommended article)
Recommended article: Two-level additive Schwarz preconditioners for nonconforming finite element methods
Similarity Score: 0.8908083
Recommender Run: Recommender Run 3

Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods (Recommended article)
Recommended article: Additive Schwarz algorithms and the Galerkin boundary element method
Similarity Score: 0.8894417
Recommender Run: Recommender Run 3

Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods (Recommended article)
Recommended article: Two-level additive Schwarz preconditioners for the \(h\)-\(p\) version of the Galerkin boundary element method for 2-\(D\) problems
Similarity Score: 0.8894267
Recommender Run: Recommender Run 3

Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods (Recommended article)
Recommended article: Q4326652
Similarity Score: 0.88813573
Recommender Run: Recommender Run 3

Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods (Recommended article)
Recommended article: On the convergence of an optimal additive Schwarz method for parallel adaptive finite elements
Similarity Score: 0.8873956
Recommender Run: Recommender Run 3

Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods (Recommended article)
Recommended article: A two-level additive Schwarz preconditioner for the Nitsche extended finite element approximation of elliptic interface problems
Similarity Score: 0.88448995
Recommender Run: Recommender Run 3