Iterative Methods for the Saddle-Point Problem Arising from the ${\bfH}_C/{\bfE}_I$ Formulation of the Eddy Current Problem

DOI10.1137/080722278zbMath1242.78027OpenAlexW1972852825MaRDI QIDQ3581085

Rafael Vázquez Hernández, Ana M. Alonso Rodriguez

Publication date: 16 August 2010

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

Full work available at URL: https://doi.org/10.1137/080722278

zbMATH Keywords

finite element approximation saddle point problem hybrid formulation time-harmonic eddy current problems

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) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (8)

A class of modified GSS preconditioners for complex symmetric linear systems ⋮ An adaptive FEM for a Maxwell interface problem ⋮ Finite element simulation of eddy current problems using magnetic scalar potentials ⋮ Modified Alternating Positive Semidefinite Splitting Preconditioner for Time-Harmonic Eddy Current Models ⋮ A general class of shift-splitting preconditioners for non-Hermitian saddle point problems with applications to time-harmonic eddy current models ⋮ The dimensional splitting iteration methods for solving saddle point problems arising from time-harmonic eddy current models ⋮ A new alternating positive semidefinite splitting preconditioner for saddle point problems from time-harmonic eddy current models ⋮ Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models

This page was built for publication: Iterative Methods for the Saddle-Point Problem Arising from the ${\bfH}_C/{\bfE}_I$ Formulation of the Eddy Current Problem