Overlapping Schwarz methods for isogeometric analysis based on generalized B-splines
From MaRDI portal
Publication:2021059
DOI10.1016/j.cma.2020.113430zbMath1506.65203OpenAlexW3090726306MaRDI QIDQ2021059
Publication date: 26 April 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2020.113430
domain decomposition methodsisogeometric analysisoverlapping Schwarzgeneralized B-splinesscalable preconditioners
Numerical computation using splines (65D07) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Uses Software
Cites Work
- Unnamed Item
- Multigrid methods for isogeometric discretization
- Isogeometric Schwarz preconditioners for linear elasticity systems
- IETI -- isogeometric tearing and interconnecting
- A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0
- Quasi-interpolation in isogeometric analysis based on generalized B-splines
- On a general new class of quasi Chebyshevian splines
- Generalized B-splines as a tool in isogeometric analysis
- How to build all Chebyshevian spline spaces good for geometric design?
- Isogeometric analysis in electromagnetics: B-splines approximation
- Isogeometric analysis in advection-diffusion problems: Tension splines approximation
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Unified and extended form of three types of splines
- A recurrence relation for Chebyshevian B-splines
- Isogeometric Schwarz preconditioners for the biharmonic problem
- Parallelization of continuous and discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods
- A preconditioning strategy for linear systems arising from nonsymmetric schemes in isogeometric analysis
- Overlapping Schwarz preconditioners for isogeometric collocation methods
- Robust and optimal multi-iterative techniques for Iga Galerkin linear systems
- \(GB\)-splines of arbitrary order
- Robust isogeometric preconditioners for the Stokes system based on the fast diagonalization method
- Optimal multilevel preconditioners for isogeometric collocation methods
- Isogeometric collocation methods with generalized B-splines
- Tchebycheffian B-splines revisited: an introductory exposition
- Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-Iga equations
- Isogeometric block FETI-DP preconditioners for the Stokes and mixed linear elasticity systems
- BPX-preconditioning for isogeometric analysis
- On a class of weak Tchebycheff systems
- Isogeometric Preconditioners Based on Fast Solvers for the Sylvester Equation
- BDDC PRECONDITIONERS FOR ISOGEOMETRIC ANALYSIS
- Isogeometric BDDC Preconditioners with Deluxe Scaling
- Overlapping Schwarz Methods for Isogeometric Analysis
- Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners
- Domain Decomposition Algorithms with Small Overlap
- Isogeometric BDDC deluxe preconditioners for linear elasticity
- Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods
- Isogeometric Analysis
- Generalized B-Splines in Isogeometric Analysis
- Robust approximation error estimates and multigrid solvers for isogeometric multi-patch discretizations
- Mathematical analysis of variational isogeometric methods
- Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods
- Local Hierarchical h-Refinements in IgA Based on Generalized B-Splines
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
- BPX preconditioners for isogeometric analysis using analysis-suitable T-splines
- A practical guide to splines.