Parallel solvers for linear and nonlinear exterior magnetic field problems based upon coupled FE/BE formulations

DOI10.1007/BF02238514zbMath0849.65093MaRDI QIDQ1913349

Yanyan Li

Publication date: 13 June 1996

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

domain decompositionparallel computationmagnetic fieldsfinite element methodsboundary element methodsconjugate gradientelectric devicesmultilevel Newton iteration

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of solutions to systems of equations (65H10) PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05) Boundary element methods for boundary value problems involving PDEs (65N38) Electro- and magnetostatics (78A30)

Related Items (9)

Hierarchical extension operators plus smoothing in domain decomposition preconditioners ⋮ Multiscale preconditioning for the coupling of FEM–BEM ⋮ Nonlinear simulation of electromagnetic fields with domain decomposition methods on MIMD parallel computers ⋮ UNIFORM CONVERGENT MULTIGRID METHODS FOR ELLIPTIC PROBLEMS WITH STRONGLY DISCONTINUOUS COEFFICIENTS ⋮ The application of coupled BE/FE formulations in technical magnetic field computations ⋮ Coupling of FEM and BEM in shape optimization ⋮ FEM and BEM parallel processing: theory and applications – a bibliography (1996‐2002) ⋮ Multilevel Partition of Unity Method for Elliptic Problems with Strongly Discontinuous Coefficients ⋮ Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM

Cites Work

• Nonlinear field simulation with finite element domain decomposition methods on massively parallel computers
• The approximate Dirichlet domain decomposition method. I: An algebraic approach
• Nonlinear simulation of electromagnetic fields with domain decomposition methods on MIMD parallel computers
• Parallel Multilevel Preconditioners
• Strong ellipticity of boundary integral operators.
• A Preconditioning Technique for Indefinite Systems Resulting from Mixed Approximations of Elliptic Problems
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• A Domain Decomposition Preconditioner Based on a Change to a Multilevel Nodal Basis
• The non-overlapping domain decomposition multiplicative schwarz method
• Nonlinear Field Calculations with Multigrid-Newton Methods
• Analysis of a Fully Discrete Finite Element Method for a Nonlinear Magnetic Field Problem
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Parallel solvers for linear and nonlinear exterior magnetic field problems based upon coupled FE/BE formulations