Efficient Preconditioned Iterative Linear Solvers for 3-D Magnetostatic Problems Using Edge Elements

DOI10.4208/aamm.OA-2018-0207zbMath1488.65070MaRDI QIDQ5156945

Yanpu Zhao, Xian-Ming Gu, Ran Zhao, Ting-Zhu Huang

Publication date: 12 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

magnetostaticsCoulomb gaugeblock preconditioneredge elementiterative linear solver

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electro- and magnetostatics (78A30) Preconditioners for iterative methods (65F08)

Related Items (6)

Virtual element method for the Sobolev equations ⋮ Reordering-based Schur complement preconditioners for a class of two-by-two block complex linear systems ⋮ A block upper triangular preconditioner with two parameters for saddle-point problems ⋮ Respectively scaled splitting iteration method for a class of block 4-by-4 linear systems from eddy current electromagnetic problems ⋮ A novel approach of superconvergence analysis of the bilinear-constant scheme for time-dependent Stokes equations ⋮ A dimension expanded preconditioning technique for saddle point problems

Uses Software

• AMD
• QMRPACK
• CSparse

Cites Work

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