Wave-ray multigrid method for standing wave equations
From MaRDI portal
Publication:1381062
zbMath0891.65127MaRDI QIDQ1381062
Publication date: 15 March 1998
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/119506
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items
L-sweeps: a scalable, parallel preconditioner for the high-frequency Helmholtz equation ⋮ Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation ⋮ A survey of finite element methods for time-harmonic acoustics ⋮ Fast Algorithms for High Frequency Wave Propagation ⋮ Conditioning analysis for discrete Helmholtz problems ⋮ A robust multilevel method for hybridizable discontinuous Galerkin method for the Helmholtz equation ⋮ Multiple Galerkin Adaptive Algebraic Multigrid Algorithm for the Helmholtz Equations ⋮ An improved two-grid preconditioner for the solution of three-dimensional Helmholtz problems in heterogeneous media ⋮ Nested Domain Decomposition with Polarized Traces for the 2D Helmholtz Equation ⋮ A new level-dependent coarse grid correction scheme for indefinite Helmholtz problems ⋮ Adaptive-order rational Arnoldi-type methods in computational electromagnetism ⋮ A compact fourth order scheme for the Helmholtz equation in polar coordinates ⋮ Novel Multilevel Preconditioners for the Systems Arising from Plane Wave Discretization of Helmholtz Equations with Large Wave Numbers ⋮ The least squares AMG solver for the one-dimensional Helmholtz operator ⋮ Analysis of Schwarz Methods for Convected Helmholtz-Like Equations ⋮ Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation ⋮ WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation ⋮ A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods ⋮ Advances in iterative methods and preconditioners for the Helmholtz equation ⋮ An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation ⋮ Convergence analysis of the continuous and discrete non-overlapping double sweep domain decomposition method based on PMLs for the Helmholtz equation ⋮ Iterative solution with shifted Laplace preconditioner for plane wave enriched isogeometric analysis and finite element discretization for high-frequency acoustics ⋮ Iterative solution applied to the Helmholtz equation: complex deflation on unstructured grids ⋮ A multigrid-based shifted Laplacian preconditioner for a fourth-order Helmholtz discretization ⋮ Double Source Transfer Domain Decomposition Method For Helmholtz Problems ⋮ Analyzing the wave number dependency of the convergence rate of a multigrid preconditioned Krylov method for the Helmholtz equation with an absorbing layer ⋮ Augmented AMG‐shifted Laplacian preconditioners for indefinite Helmholtz problems ⋮ A fast method for the solution of the Helmholtz equation ⋮ The method of polarized traces for the 2D Helmholtz equation ⋮ Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation ⋮ A damping preconditioner for time-harmonic wave equations in fluid and elastic material ⋮ A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator ⋮ A comparison of coarse spaces for Helmholtz problems in the high frequency regime ⋮ A robust domain decomposition method for the Helmholtz equation with high wave number ⋮ Algebraic multigrid methods for direct frequency response analyses in solid mechanics ⋮ Iterative solution of Helmholtz problem with high-order isogeometric analysis and finite element method at mid-range frequencies ⋮ An optimized Schwarz method with relaxation for the Helmholtz equation: the negative impact of overlap ⋮ Smoothed aggregation for Helmholtz problems ⋮ A domain decomposition method for discontinuous Galerkin discretizations of Helmholtz problems with plane waves and Lagrange multipliers ⋮ A scalable multigrid method for solving indefinite Helmholtz equations with constant wave numbers ⋮ A robust multilevel preconditioner based on a domain decomposition method for the Helmholtz equation ⋮ A formalism for designing robust multigrid methods for Helmholtz-like problems ⋮ The Multilevel Krylov-Multigrid Method for the Helmholtz Equation Preconditioned by the Shifted Laplacian ⋮ A Geometric Multigrid Preconditioner for the Solution of the Helmholtz Equation in Three-Dimensional Heterogeneous Media on Massively Parallel Computers
