Overlapping Schwarz methods in H(curl) on polyhedral domains

DOI10.1515/JNMA.2002.221zbMath1017.65099OpenAlexW1969732357MaRDI QIDQ4796482

No author found.

Publication date: 11 August 2003

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnma.2002.221

zbMATH Keywords

numerical examplesdomain decompositionpreconditioningnonconvex domainSchwarz methodNedelec's finite elements

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) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

A Two-Level Preconditioned Helmholtz Subspace Iterative Method for Maxwell Eigenvalue Problems ⋮ An adaptive edge element method and its convergence for a Saddle-Point problem from magnetostatics ⋮ A new approximation technique for div-curl systems ⋮ The Auxiliary Space Preconditioner for the de Rham Complex ⋮ Numerical Homogenization of H(curl)-Problems ⋮ Convergence of the Hiptmair–Xu Preconditioner for \(\boldsymbol{H}\textbf{(curl)}\)-Elliptic Problems with Jump Coefficients (ii): Main Results ⋮ Parallel Element-Based Algebraic Multigrid for \(\boldsymbol{H}\) (curl) and \(\boldsymbol{H}\) (div) Problems Using the ParELAG Library ⋮ Regular decomposition and a framework of order reduced methods for fourth order problems ⋮ A posteriori error analysis of a fully-mixed formulation for the Brinkman-Darcy problem ⋮ Div–curl problems and H¹‐regular stream functions in 3D Lipschitz domains ⋮ Optimal convergence of adaptive FEM for eigenvalue clusters in mixed form ⋮ Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell’s equations ⋮ Robust Preconditioner for H(curl) Interface Problems ⋮ A posteriori error estimates for finite element exterior calculus: the de Rham complex ⋮ Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains ⋮ Convergence of the Hiptmair--Xu Preconditioner for Maxwell's Equations with Jump Coefficients (i): Extensions of the Regular Decomposition ⋮ An analysis of the TDNNS method using natural norms ⋮ Partial expansion of a Lipschitz domain and some applications ⋮ A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations ⋮ H(curl) auxiliary mesh preconditioning ⋮ Auxiliary space preconditioning in \(H_0(\text{curl};\Omega)\) ⋮ An adaptive finite element method for the H-\(\psi\) formulation of time-dependent eddy current problems ⋮ A posteriori error estimates for Maxwell equations ⋮ Convergence analysis of an adaptive edge element method for Maxwell's equations ⋮ A new a posteriori error estimate for the Morley element ⋮ A review of regular decompositions of vector fields: continuous, discrete, and structure-preserving ⋮ Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption ⋮ Robust a posteriori error estimation for the Maxwell equations ⋮ Discontinuous least-squares finite element method for the div-curl problem