A high-order, analytically divergence-free discretization method for Darcy’s problem

DOI10.1090/S0025-5718-2010-02388-9zbMath1308.76213OpenAlexW2056782393MaRDI QIDQ3081283

Daniela Schräder, Holger Wendland

Publication date: 7 March 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2010-02388-9

zbMATH Keywords

approximation errorDarcy's problemmeshfree discretization method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15)

Related Items

Block preconditioners for linear systems arising from multiscale collocation with compactly supported RBFs ⋮ Divergence-free quasi-interpolation ⋮ Error estimates of divergence-free generalized moving least squares (div-free GMLS) derivatives approximations in Sobolev spaces ⋮ Meshless analysis of Darcy flow with a variational multiscale interpolating element-free Galerkin method ⋮ A divergence-free generalized moving least squares approximation with its application ⋮ A High-Order, Analytically Divergence-Free Approximation Method for the Time-Dependent Stokes Problem

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