A two-level method for isogeometric discretizations based on multiplicative Schwarz iterations

DOI10.1016/j.camwa.2021.08.020OpenAlexW3200225014MaRDI QIDQ2234851

A. Pé de la Riva, Francisco José Gaspar, Carmen Rodrigo

Publication date: 19 October 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.01499

zbMATH Keywords

isogeometric analysislocal Fourier analysistwo-level methodoverlapping multiplicative Schwarz iterationsrobust solver

Mathematics Subject Classification ID

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) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (3)

A local Fourier analysis for additive Schwarz smoothers ⋮ Auxiliary splines space preconditioning for B-splines finite elements: the case of \(\boldsymbol{H}(\boldsymbol{curl},\Omega)\) and \(\boldsymbol{H}(div,\Omega)\) elliptic problems ⋮ Optimized sparse approximate inverse smoothers for solving Laplacian linear systems

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