Efficient Parallel Preconditioners for High-Order Finite Element Discretizations of H(grad) and H(curl) Problems

DOI10.1007/978-3-642-11304-8_37zbMath1217.65212OpenAlexW2288057858MaRDI QIDQ2998437

Junxian Wang, Shi Shu, Liuqiang Zhong

Publication date: 18 May 2011

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-11304-8_37

zbMATH Keywords

numerical experimentspreconditioningfinite elementalgebraic multigridconjugate gradient methods\(H(\text{curl})\) elliptic problem\(H(\text{grad})\) elliptic problem

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) 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)

Cites Work

• Algebraic multigrid for higher-order finite elements
• Preconditioners for higher order edge finite element discretizations of Maxwell's equations
• An algebraic multigrid method for higher-order finite element discretizations
• Optimal multilevel methods for H(grad), H(curl), and H(div) systems on graded and unstructured grids
• Hierarchic finite element bases on unstructured tetrahedral meshes
• Finite Element Methods for Maxwell's Equations
• Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces
• Unnamed Item

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