A comparison of coarse spaces for Helmholtz problems in the high frequency regime
DOI10.1016/j.camwa.2021.07.011OpenAlexW3112570415MaRDI QIDQ2047623
Pierre-Henri Tournier, Victorita Dolean, Niall Bootland, Pierre Jolivet
Publication date: 20 August 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.02678
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Preconditioners for iterative methods (65F08)
Related Items (7)
Uses Software
Cites Work
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Modern solvers for Helmholtz problems
- Restricted overlapping balancing domain decomposition methods and restricted coarse problems for the Helmholtz problem
- Wave-ray multigrid method for standing wave equations
- A new interface condition in the non-overlapping domain decomposition method for the Maxwell equations
- On a class of preconditioners for solving the Helmholtz equation
- A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
- KSPHPDDM and PCHPDDM: extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners
- Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps
- Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps
- A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator
- A Krylov--Schur Algorithm for Large Eigenproblems
- Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
- Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption
- A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps
- An Introduction to Domain Decomposition Methods
- SLEPc
- FETI-DPH: A DUAL-PRIMAL DOMAIN DECOMPOSITION METHOD FOR ACOUSTIC SCATTERING
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- ARPACK Users' Guide
- Global-basis two-level method for indefinite systems. Part 1: convergence studies
- A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods
- Optimized Schwarz Methods without Overlap for the Helmholtz Equation
- New development in freefem++
- A Multilevel Schwarz Preconditioner Based on a Hierarchy of Robust Coarse Spaces
- Domain decomposition preconditioners for high-order discretizations of the heterogeneous Helmholtz equation
- Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption
- On the Dirichlet-to-Neumann Coarse Space for Solving the Helmholtz Problem Using Domain Decomposition
- Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption
- Recent Results on Domain Decomposition Preconditioning for the High-Frequency Helmholtz Equation Using Absorption
- A Flexible Inner-Outer Preconditioned GMRES Algorithm
- An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method
- Block Krylov Recycling Algorithms for FETI-2LM Applied to 3-D Electromagnetic Wave Scattering and Radiation
This page was built for publication: A comparison of coarse spaces for Helmholtz problems in the high frequency regime