scientific article; zbMATH DE number 1218983

Publication date: 22 March 1999

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

convergence numerical results finite difference method Helmholtz equation Schwarz type domain decomposition method symmetric-QMR algorithm

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

Schwarz methods by domain truncation ⋮ Conditioning analysis for discrete Helmholtz problems ⋮ Algebraic approximation of Dirichlet-to-Neumann maps for the equations of linear elasticity ⋮ Absorbing interface conditions for domain decomposition methods: A general presentation ⋮ Absorbing boundary conditions for the wave equation and parallel computing ⋮ Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations ⋮ A boundary integral equation domain decomposition method for electromagnetic scattering from large and deep cavities ⋮ Asynchronous optimized Schwarz methods with and without overlap ⋮ Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains ⋮ Iterative Pure Source Transfer Domain Decomposition Methods for Helmholtz Equations in Heterogeneous Media ⋮ Convergence analysis for a second order Schwarz method for nonoverlapping subdomains ⋮ Analysis of Patch Substructuring Methods ⋮ On the influence of geometry on optimized Schwarz methods ⋮ Natural Domain Decomposition Algorithms for the Solution of Time-Harmonic Elastic Waves ⋮ A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods ⋮ Domain Decomposition Methods for Electromagnetic Wave Propagation Problems in Heterogeneous Media and Complex Domains ⋮ The sub-Cauchy-Stokes problem: solvability issues and Lagrange multiplier methods with artificial boundary conditions ⋮ Domain Decomposition Algorithms for the Compressible Euler Equations ⋮ On accelerated convergence of nonoverlapping Schwarz methods ⋮ An optimized Schwarz method with two-sided Robin transmission conditions for the Helmholtz equation ⋮ A homographic best approximation problem with application to optimized Schwarz waveform relaxation ⋮ Lagrangian formulation of domain decomposition methods: a unified theory ⋮ Studies of an infinite element method for acoustical radiation ⋮ Improved ad hoc interface conditions for Schwarz solution procedure tuned to highly heterogeneous media ⋮ A comparison of coarse spaces for Helmholtz problems in the high frequency regime ⋮ Schwarz Methods for Second Order Maxwell Equations in 3D with Coefficient Jumps ⋮ Optimized Schwarz methods without overlap for highly heterogeneous media ⋮ A new domain decomposition method for the compressible Euler equations ⋮ A pure source transfer domain decomposition method for Helmholtz equations in unbounded domain ⋮ Non-overlapping Schwarz methods with optimized transmission conditions for the Helmholtz equation ⋮ Non-overlapping additive Schwarz methods tuned to highly heterogeneous media ⋮ DG Discretization of Optimized Schwarz Methods for Maxwell’s Equations ⋮ Optimized Schwarz Methods for Maxwell Equations with Discontinuous Coefficients ⋮ A Stochastic-Based Optimized Schwarz Method for the Gravimetry Equations on GPU Clusters ⋮ Nonlinear Schwarz iterations with reduced rank extrapolation ⋮ A hybrid multigrid method for convection-diffusion problems