Optimized Transmission Conditions in Domain Decomposition Methods with Cross-Points for Helmholtz Equation
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Publication:5866597
DOI10.1137/21M1421210zbMath1505.65304MaRDI QIDQ5866597
Bruno Després, A. Nicolopoulos, Bertrand Thierry
Publication date: 22 September 2022
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability in context of PDEs (35B35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (3)
NonLocal Optimized Schwarz Method for the Helmholtz Equation with Physical Boundaries ⋮ A unified theory of non-overlapping Robin-Schwarz methods: continuous and discrete, including cross points ⋮ Nonlocal optimized Schwarz methods for time-harmonic electromagnetics
Uses Software
Cites Work
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- A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation
- Improved interface conditions for \(2 D\) domain decomposition with corners: numerical applications
- Cross-points in domain decomposition methods with a finite element discretization
- Functional analysis, Sobolev spaces and partial differential equations
- A domain decomposition method for the Helmholtz equation and related optimal control problems
- GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems
- A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems
- Corners and stable optimized domain decomposition methods for the Helmholtz problem
- A discrete domain decomposition method for acoustics with uniform exponential rate of convergence using non-local impedance operators
- Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering
- Non-overlapping domain decomposition method for a nodal finite element method
- Robust treatment of cross-points in optimized Schwarz methods
- Best Robin Parameters for Optimized Schwarz Methods at Cross Points
- FETI-DPH: A DUAL-PRIMAL DOMAIN DECOMPOSITION METHOD FOR ACOUSTIC SCATTERING
- Coupling of a non‐overlapping domain decomposition method for a nodal finite element method with a boundary element method
- Non-local variant of the optimised Schwarz method for arbitrary non-overlapping subdomain partitions
- Condition Number Estimates for the Nonoverlapping Optimized Schwarz Method and the 2-Lagrange Multiplier Method for General Domains and Cross Points
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