Theorie und Numerik elliptischer Differentialgleichungen

DOI10.1007/978-3-658-15358-8zbMath1360.65257OpenAlexW4254661393MaRDI QIDQ2833312

Wolfgang Hackbusch

Publication date: 17 November 2016

Full work available at URL: https://doi.org/10.1007/978-3-658-15358-8

zbMATH Keywords

stabilitymaximum principleconvergenceDirichlet problemSobolev spacessingular perturbationerror estimatesfinite elementsfinite difference methodGreen's functioneigenvalue problemdiscontinuous coefficientstextbook\(M\)-matrixadaptivitybiharmonic equationNeumann boundary conditioninf-sup conditionPoisson equationelliptic equationtracesStokes equationsaddle point problemregularity of solutionsa-posteriori error estimatequasi-optimalitycurved domainRitz-Galerkinsingularity functionShortley-Wellerconormal boundary conditiondiscrete regularity of finite difference solutionsinverse estimatenon-polygonal domainsPDE-type classificationV-ellipticity

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)

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