Overlapping Schwarz domain decomposition methods
Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Saddle Point Problems
... local overlapping problems and the coarse problem are saddle point problems with the same structure as the original ...Robust Overlapping Schwarz) library, which is part of the Trilinos package ...
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FROSch: A Fast And Robust Overlapping Schwarz Domain Decomposition Preconditioner Based on Xpetra in Trilinos
... Monolithic overlapping schwarz domain decom- position methods with GDSW coarse spaces for incompressible fluid flow ...lapping Schwarz method with energy-minimizing coarse space based ...
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Reduced Dimension GDSW Coarse Spaces for Monolithic Schwarz Domain Decomposition Methods for Incompressible Fluid Flow Problems
... scaled Schwarz operators, introduced by Cai and Sarkis 40 , in the first level of our monolithic ...local overlapping and nonoverlapping matrices to the complete re-use of the coarse basis and ...
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Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves
... the Schwarz Waveform Relaxation algorithm, applied to two two-dimensional ...with overlapping region Ω + ε ∩ Ω − ε , where ε is a non-negative ...by Schwarz waveform domain ...
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Energy Efficiency of Nonlinear Domain Decomposition Methods
... Nonlinear domain decomposition methods are solution approaches for nonlinear prob- lems and apply the concepts and ideas of linear domain decomposition methods as, ...e.g., ...
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Local spectra of adaptive domain decomposition methods
... the overlapping subdomain ⌦ i 0 , and the coarse matrix A 0 = T A ...for overlapping Schwarz methods, ...the Overlapping Schwarz Approximate Compo- nent Mode Synthesis (OS-ACMS) ...
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Domain decomposition methods for the solution of multiple scattering problems
... the domain into a collection of non- overlapping subdomains, it is worth pointing out that this need not be the case, and as a matter of fact did not originated as ...Hermann Schwarz was the first to ...
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Asymptotic behavior and a posteriori error estimates for the generalized overlapping domain decomposition method for parabolic equation
... The Schwarz alternating method can be used to solve elliptic boundary value problems on domains which consist of two or more overlapping ...Amandus Schwarz in ...of Schwarz alternating method ...
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Overlapping Schwarz waveform relaxation method for the solution of the reaction–diffusion equation
... using domain decomposition ...a domain decomposition ...a Schwarz waveform relaxation algorithm for the convection diffusion ...the overlapping Schwarz waveform relaxation ...
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Fully algebraic two-level overlapping Schwarz preconditioners for elasticity problems
... iterative methods in numerical linear algebra (Breckenridge, CO, ...monolithic Schwarz domain decomposition methods for incompressible fluid flow ...
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A Three-Level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions
... Widlund. Domain decomposition for less regular subdomains: overlapping Schwarz in two ...for overlapping Schwarz preconditioners. In Domain decomposition ...
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Optimized Schwarz methods for Maxwell's equations
... of overlapping Schwarz methods was devel- oped for scalar partial differential equations, namely, the optimized Schwarz meth- ...These methods are based on a classical overlapping ...
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A Recursive Variant of Schwarz Type Domain Decomposition Methods
... Abstract In this paper a slightly different approach to the use of the domain decomposition method of the Schwarz type is proposed. Instead of the standard coarse space construction we propose to use ...
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Overlapping schwarz methods for isogeometric analysis
... CAD domain. We construct and study overlapping Schwarz preconditioners for model elliptic problems ...element Schwarz preconditioners, we have optimality in p for generous overlap, for both ...
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A Schwarz-based domain decomposition method for the dispersion equation
... In the work presented here, we do not propose approximate TBCs for re- ducing the error related to the finitude of the computational domain. In fact, we intend to reduce the error created by the ...
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Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods
... Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods.. Technical Report ID: CDS-2020-4.[r] ...
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Overlapping schwarz methods with a standard coarse space for almost incompressible linear elasticity
... lapping Schwarz preconditioners for the almost incompressible system of linear elasticity, discretized by mixed finite elements with discontinuous pressures, are constructed and ...
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A posteriori stopping criteria for optimized Schwarz domain decomposition algorithms in mixed formulations
... optimized Schwarz domain decomposition algorithms in mixed formulations DOI ...for domain decomposition methods with optimized Robin transmission conditions on the interface ...
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Non-invasive global–local coupling as a Schwarz domain decomposition method: acceleration and generalization
... non-overlapping Schwarz domain decomposition ...the Schwarz family of domain decomposition method allows to benefit many theoretical results and practical ...an ...
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AN INTERFACE STRIP PRECONDITIONER FOR DOMAIN DECOMPOSITION METHODS
... • Direct solvers are highly coupled and don’t parallelize well (high communication times). Also they require too much memory, and they asymptotically demand more CPU time than iterative methods even in sequential ...
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