Multilevel Methods for Elliptic Problems with Highly Varying Coefficients on Nonaligned Coarse Grids

DOI10.1137/100805248zbMath1259.65190OpenAlexW1970588051MaRDI QIDQ2903055

Ludmil T. Zikatanov, Panayot S. Vassilevski, Robert Scheichl

Publication date: 23 August 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/31605/1/Scheichl_SINUM_2012_50_3_1675.pdf

zbMATH Keywords

convergencenumerical experimentsmultigridPoincaré-type inequalitiessecond order elliptic boundary value problemcoarse spacesoverlapping Schwarz methodlarge coefficient jumpsweighted quasi-interpolants

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05)

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