scientific article

zbMath0653.46003MaRDI QIDQ3799122

Reddy, B. Daya

Publication date: 1986

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Sobolev spacesfinite elementsapproximation methodsprojection operatorsdistributionsboundary value problemscompletionelliptic operatorPoincaré's inequalityRiesz representationLax-Milgram theoremapproximate methods of solutionFourier series theorem in Hilbert spaceGalerkin and finite element approachesgeometric structure of Hilbert spaceSobolev embedding and trace theorems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Variational methods for second-order elliptic equations (35J20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01)

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