Error estimates for finite element methods for a wide-angle parabolic equation

DOI10.1016/0168-9274(94)00046-8zbMath0818.65093OpenAlexW2095384555MaRDI QIDQ1344322

Nikolaos A. Kampanis, Vassilios A. Dougalis, Georgios D. Akrivis

Publication date: 15 August 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(94)00046-8

zbMATH Keywords

algorithmstabilityconvergencewave propagationerror estimateHelmholtz equationSobolev-type equationfourth-order Runge-Kutta schemeCrank-Nicolson approximationsemidiscrete Galerkin approximationsfinite difference-finite element methodthird-order initial-boundary value problemwide-angle parabolic equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for higher-order parabolic equations (35K30)

Related Items (2)

Error estimates and adaptive finite element methods ⋮ Higher-order variational finite difference schemes for solving 3-D paraxial wave equations using splitting techniques.

Cites Work

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• On a class of conservative, highly accurate Galerkin methods for the Schrödinger equation
• An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
• Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation
• Error Estimates for Finite Difference Methods for a Wide-Angle “Parabolic” Equation
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• Spectral Factorization of Multiple Time Series
• General Boundary Value Problems for Differential Equations of Sobolev Type

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