Equation-based interpolation and incremental unknowns for solving the three-dimensional Helmholtz equation

DOI10.1016/j.amc.2014.01.084zbMath1410.65418OpenAlexW2039903394MaRDI QIDQ1646230

Amir Boag, Pascal Poullet

Publication date: 22 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://hal.univ-antilles.fr/hal-00763930/file/eci3D_3d.pdf

zbMATH Keywords

preconditioningiterative methodsHelmholtz equationmultilevel methodsincremental unknowns

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

\(\theta\) scheme with two dimensional wavelet-like incremental unknowns for a class of porous medium diffusion-type equations

Uses Software

• PSP
• clique

Cites Work

• Unnamed Item
• Unnamed Item
• Parallel solution of high frequency Helmholtz equations using high order finite difference schemes
• An iterative method for the Helmholtz equation
• Equation-based interpolation and incremental unknowns for solving the Helmholtz equation
• Incremental unknowns for solving partial differential equations
• Advances in iterative methods and preconditioners for the Helmholtz equation
• The numerical solution of the Helmholtz equation for wave propagation problems in underwater acoustics
• On the multi-level splitting of finite element spaces
• Preconditioned Newton methods using incremental unknowns methods for the resolution of a steady-state Navier-Stokes-like problem
• Finite element analysis of acoustic scattering
• Staggered incremental unknowns for solving Stokes and generalized Stokes problems
• Incremental unknowns and graph techniques in three space dimensions
• On a class of preconditioners for solving the Helmholtz equation
• Incremental unknowns in finite differences in three space dimensions
• A fast directional algorithm for high frequency acoustic scattering in two dimensions
• Incremental unknowns in three-dimensional stationary problem
• Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation
• A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations
• Iterative schemes for high order compact discretizations to the exterior Helmholtz equation
• A Parallel Sweeping Preconditioner for Heterogeneous 3D Helmholtz Equations
• Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
• Inertial Manifolds and Multigrid Methods
• Second-Order Absorbing Boundary Conditions for the Wave Equation: A Solution for the Corner Problem
• An algebraic multigrid wave–ray algorithm to solve eigenvalue problems for the helmholtz operator
• Incremental unknowns method and compact schemes
• Incremental unknowns on nonuniform meshes
• The matricial framework for the incremental unknowns method
• A Parallel Fictitious Domain Method for the Three-Dimensional Helmholtz Equation
• On the Multi-Level Splitting of Finite Element Spaces for Indefinite Elliptic Boundary Value Problems
• Incremental Unknowns in Finite Differences: Condition Number of the Matrix
• Accuracy Properties of the Wave‐Ray Multigrid Algorithm for Helmholtz Equations
• Incremental unknowns preconditioning for solving the Helmholtz equation
• A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems

This page was built for publication: Equation-based interpolation and incremental unknowns for solving the three-dimensional Helmholtz equation