Multidirectional sweeping preconditioners with non-overlapping checkerboard domain decomposition for Helmholtz problems
DOI10.1016/j.jcp.2021.110887OpenAlexW3164323136MaRDI QIDQ2135232
Jean-François Remacle, Axel Modave, Ruiyang Dai, Christophe A. Geuzaine
Publication date: 4 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.13307
domain decomposition methodsHelmholtz equationpreconditionersiterative solvershigh-order finite element methodacoustic
Numerical linear algebra (65Fxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
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- A rapidly converging domain decomposition method for the Helmholtz equation
- Double sweep preconditioner for optimized Schwarz methods applied to the Helmholtz problem
- A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation
- The method of polarized traces for the 2D Helmholtz equation
- Modern solvers for Helmholtz problems
- ``Free-space boundary conditions for the time dependent wave equation
- Numerical experiments on a domain decomposition algorithm for nonlinear elliptic boundary value problems
- Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains
- A domain decomposition method for the Helmholtz equation and related optimal control problems
- Non-overlapping domain decomposition algorithm based on modified transmission conditions for the Helmholtz equation
- An improved domain decomposition method for the \(3\)D Helmholtz equation
- A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems
- L-sweeps: a scalable, parallel preconditioner for the high-frequency Helmholtz equation
- Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering
- An improved sweeping domain decomposition preconditioner for the Helmholtz equation
- A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator
- Improved transmission conditions for a one-dimensional domain decomposition method applied to the solution of the Helmholtz equation
- Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
- A two‐level domain decomposition method with accurate interface conditions for the Helmholtz problem
- Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
- Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
- Numerical accuracy of a Padé-type non-reflecting boundary condition for the finite element solution of acoustic scattering problems at high-frequency
- FETI-DPH: A DUAL-PRIMAL DOMAIN DECOMPOSITION METHOD FOR ACOUSTIC SCATTERING
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Absorbing boundary conditions for numerical simulation of waves
- A unified framework for accelerating the convergence of iterative substructuring methods with Lagrange multipliers
- Improved sweeping preconditioners for domain decomposition algorithms applied to time-harmonic Helmholtz and Maxwell problems
- 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
- Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation
- Optimized Schwarz Method with Complete Radiation Transmission Conditions for the Helmholtz Equation in Waveguides
- A Flexible Inner-Outer Preconditioned GMRES Algorithm
- Optimized Schwarz Methods
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