Analyzing an approximate solution to a quasilinear parabolic-hyperbolic problem

DOI10.1007/S10559-012-9455-2zbMath1288.74017OpenAlexW2062257314MaRDI QIDQ2452745

O. O. Marchenko, T. A. Samoĭlenko

Publication date: 5 June 2014

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

Full work available at URL: https://doi.org/10.1007/s10559-012-9455-2

zbMATH Keywords

nonlinear systemdifferential equationsgeneralized solutionfinite-element methodinitial-boundary-value problemestimate of approximate generalized solution

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Construction and analysis of a nonlinear differential model for two-phase media
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
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