Discrete Interpolation Norms with Applications

DOI10.1137/080729360zbMath1196.65080OpenAlexW2085167268MaRDI QIDQ3584630

Daniel Loghin, Mario Arioli

Publication date: 30 August 2010

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

Full work available at URL: http://purl.org/net/epubs/manifestation/3629/Honehalfinal.pdf

zbMATH Keywords

algorithmsfinite element methoddomain decompositionnumerical experimentspreconditioningHilbert spacesbiharmonic equationPoisson equationfractional Sobolev spacesinterpolation spacesmatrix powersGramian matrices

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Interpolation between normed linear spaces (46B70) Preconditioners for iterative methods (65F08)

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