Galerkin methods for a singularly perturbed hyperbolic problem with nonlocal nonlinearity

DOI10.1016/0898-1221(91)90038-6zbMath0743.65099OpenAlexW1977631636MaRDI QIDQ1179380

Elizabeth Greenwell Yanik, Benjamin F. jun. Esham

Publication date: 26 June 1992

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(91)90038-6

zbMATH Keywords

error estimatesinitial-boundary value problemuniform a priori boundsnonlocal nonlinearityintegro-partial differential equationsNonlinear elliptic problemscontinuous-time Galerkin approximationsdiscrete-time Galerkin methodshyperbolic and parabolic problems

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05)

Related Items

Singularly perturbed problems in partial differential equations: A survey

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical methods of high-order accuracy for nonlinear boundary value problems. V: Monotone operator theory
• Initial-boundary value problems for an extensible beam
• A singularly perturbed second order evolution equation with nonlocal nonlinearity
• Hyperbolic-parabolic singular perturbations for scalar nonlinearities
• Asymptotics and an Asymptotic Galerkin Method for Hyperbolic-Parabolic Singular Perturbation Problems
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Three-Level Galerkin Methods for Parabolic Equations
• An Analysis of Some Galerkin Schemes for the Solution of Nonlinear Time-Dependent Problems
• Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
• Galerkin’s Method for Some Highly Nonlinear Problems
• A Numerical Treatment for Parabolic Equations with a Small Parameter
• Galerkin Methods for Parabolic Equations
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations