Asymptotics and an Asymptotic Galerkin Method for Hyperbolic-Parabolic Singular Perturbation Problems

DOI10.1137/0518058zbMath0631.65111OpenAlexW2087207730MaRDI QIDQ3768329

Benjamin F. jun. Esham

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1137/0518058

zbMATH Keywords

numerical resultsfinite element methodasymptotic expansionHilbert spaceerror analysissingular perturbationshyperbolic-parabolic systemsinitial layer correctionsUniform asymptotic stabilitycontinuous-time Galerkin procedure

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Ordinary differential operators (34L99) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

Related Items (6)

Singular perturbation of a nonlinear time-dependent problem in hilbert space ⋮ Singular perturbation results for linear partial differential-algebraic equations of hyperbolic type ⋮ Hyperbolic-parabolic singular perturbations for scalar nonlinearities ⋮ Galerkin methods for a singularly perturbed hyperbolic problem with nonlocal nonlinearity ⋮ Global-in-time uniform convergence for linear hyperbolic-parabolic singular perturbations ⋮ Singularly perturbed problems in partial differential equations: A survey

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