Heterogeneous Optimized Schwarz Methods for Second Order Elliptic PDEs

DOI10.1137/18M122114XzbMath1428.65105OpenAlexW2962981225WikidataQ114074279 ScholiaQ114074279MaRDI QIDQ5194595

Martin J. Gander, Tommaso Vanzan

Publication date: 16 September 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m122114x

zbMATH Keywords

heterogeneous domain decomposition methodsoptimized Schwarz methodscontaminant transportoptimized transmission conditions

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Asymptotic behavior of solutions to PDEs (35B40) Existence of solutions for minimax problems (49J35) Iterative numerical methods for linear systems (65F10) Second-order elliptic equations (35J15) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (9)

Wave-heat coupling in one-dimensional unbounded domains: artificial boundary conditions and an optimized Schwarz method ⋮ Substructured two-grid and multi-grid domain decomposition methods ⋮ New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System ⋮ Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains ⋮ Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution ⋮ Multilevel Optimized Schwarz Methods ⋮ Analysis, improvement and limits of the multiscale Latin method ⋮ Robin-Robin domain decomposition methods for the dual-porosity-conduit system ⋮ A parameter-robust iterative method for Stokes–Darcy problems retaining local mass conservation

Cites Work

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• Towards optimized Schwarz methods for the Navier-Stokes equations
• A new algorithm based on factorization for heterogeneous domain decomposition
• On the influence of geometry on optimized Schwarz methods
• A non-overlapping domain decomposition method with non-matching grids for modeling large finite antenna arrays
• A domain decomposition method to couple nonisothermal compositional gas liquid Darcy and free gas flows
• Schwarz methods over the course of time
• Optimized Schwarz methods without overlap for highly heterogeneous media
• Optimized Schwarz methods for advection diffusion equations in bounded domains
• Optimized Schwarz methods for a diffusion problem with discontinuous coefficient
• Modeling groundwater flow and contaminant transport
• Toward an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. I: The constant coefficients case
• Toward an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. II: The variable coefficients case
• Optimized Schwarz Methods for Model Problems with Continuously Variable Coefficients
• A Scalable Nonoverlapping and Nonconformal Domain Decomposition Method for Solving Time-Harmonic Maxwell Equations in $\mathbb{R}^3$
• Optimized Schwarz methods with nonoverlapping circular domain decomposition
• Analysis and Optimization of Robin–Robin Partitioned Procedures in Fluid-Structure Interaction Problems
• Optimized Schwarz Methods for Maxwell Equations with Discontinuous Coefficients
• A new domain decomposition method for the compressible Euler equations
• Optimized Schwarz Methods for Maxwell's Equations
• An optimized Schwarz method with two-sided Robin transmission conditions for the Helmholtz equation
• Schwarz Waveform Relaxation Method for the Viscous Shallow Water Equations
• Optimized Schwarz Methods without Overlap for the Helmholtz Equation
• Heterogeneous Optimized Schwarz Methods for Coupling Helmholtz and Laplace Equations
• Absorbing boundary conditions and perfectly matched layers in wave propagation problems
• Optimized Schwarz Methods

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