High-accuracy discretization algorithms for problems with discontinuous solutions

DOI10.1007/BF02666994zbMath0947.74070OpenAlexW1998863084MaRDI QIDQ1288658

V. S. Deineka, V. V. Skopetskyia, Ivan V. Sergienko

Publication date: 15 September 1999

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02666994

zbMATH Keywords

finite element methodboundary value problemsnonlinear parabolic equationsinitial-boundary value problemsdiscontinuous solutionsquasilinear elliptic equationslinear hyperbolic equationsapproximate convergent solutionsdiscontinuous eigenfunctionsorthotropic elastic body of revolutionprescribed pressure on cutstatic plane linear elasticity problem

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Finite element methods applied to problems in solid mechanics (74S05) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Cites Work

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