A Quasi-Projection Analysis of Galerkin Methods for Parabolic and Hyperbolic Equations
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Publication:4166165
DOI10.2307/2006148zbMath0385.65052OpenAlexW4254038761MaRDI QIDQ4166165
Jim jun. Douglas, Todd F. Dupont, Mary Fanett Wheeler
Publication date: 1978
Full work available at URL: https://doi.org/10.2307/2006148
Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
- Unnamed Item
- Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces
- Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces
- A Galerkin Procedure for Estimating the Flux for Two-Point Boundary Value Problems
- An $H^{ - 1} $ Galerkin Method for Parabolic Problems in a Single Space Variable
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
- Two-Level Discrete-Time Galerkin Approximations for Second Order Nonlinear Parabolic Partial Differential Equations
- $L_\infty $ Estimates of Optimal Orders for Galerkin Methods for One-Dimensional Second Order Parabolic and Hyperbolic Equations