Numerical Methods for Partial Differential Equations · 2010 · 15 citations · 8 references
Natural SciencesEarth SciencesPhysicsComputational Fluid DynamicsMultiscale ModelingSubsurface Fluid FlowConvergence AnalysisNumerical AnalysisNumerical Methods For Differential EquationsAdvection-diffusion ModelsDomain DecompositionElliptic Multiscale ProblemsElliptic Partial Differential EquationsFacility Security AssessmentFlow Through Porous MediaParabolic Multiscale ProblemsParabolic Partial Differential Equations
Abstract We investigate the Schwarz'domain decomposition algorithm for numerical zooms. Error estimates are given for nonmatching meshes for elliptic and parabolic partial differential equations. The method is applied to the security assessment of the burial of nuclear waste which is a typical multiscale problem for porous media flow. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010
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