A Condensed Constrained Nonconforming Mortar-Based Approach for Preconditioning Finite Element Discretization Problems

DOI10.1137/19M1305690zbMath1452.65343arXiv1912.05441OpenAlexW2994824767MaRDI QIDQ5132007

Delyan Z. Kalchev, Panayot S. Vassilevski

Publication date: 9 November 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05441

zbMATH Keywords

finite element methodpreconditioningalgebraic multigridmortar methodstatic condensationauxiliary spaceChebyshev smoother

Mathematics Subject Classification ID

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) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (1)

Parallel Element-Based Algebraic Multigrid for \(\boldsymbol{H}\) (curl) and \(\boldsymbol{H}\) (div) Problems Using the ParELAG Library

Uses Software

• GitHub

Cites Work

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• Multigrid Smoothers for Ultraparallel Computing
• Auxiliary Space Preconditioning of Finite Element Equations Using a Nonconforming Interior Penalty Reformulation and Static Condensation
• Numerical solution of saddle point problems
• Multilevel Block Factorization Preconditioners
• On some versions of the element agglomeration AMGe method
• Basics and some applications of the mortar element method
• Spectral AMGe ($\rho$AMGe)
• Two-grid Method for Linear Elasticity on Unstructured Meshes
• An improved convergence analysis of smoothed aggregation algebraic multigrid
• Sparse matrix element topology with application to AMG(e) and preconditioning
• Polynomial of Best Uniform Approximation to and Smoothing in Two-level Methods
• The Mathematical Theory of Finite Element Methods
• Discretization methods and iterative solvers based on domain decomposition

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