Nonlinear field simulation with finite element domain decomposition methods on massively parallel computers

zbMath0873.65109MaRDI QIDQ676377

Bodo Heise

Publication date: 4 August 1997

Published in: Surveys on Mathematics for Industry (Search for Journal in Brave)

zbMATH Keywords

Newton's methodnumerical examplesfinite elementparallel computationnonlinear boundary value problemspreconditioned conjugate gradient methodoptimal design problemnested iterationboundary elementdomain decomposition preconditionerfull multilevel methodmagnetic field problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimization of shapes other than minimal surfaces (49Q10) Boundary element methods for boundary value problems involving PDEs (65N38) Electro- and magnetostatics (78A30)

Related Items

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