Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations

DOI10.1016/j.camwa.2017.01.023zbMath1372.65277OpenAlexW2592631722MaRDI QIDQ2402237

Zhihui Zhao, Hong Li, Zhen-Dong Luo

Publication date: 7 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.01.023

zbMATH Keywords

numerical examplescontinuous Galerkin methodoptimal convergence ratesSobolev equations with convection-dominated terms

Mathematics Subject Classification ID

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) Initial-boundary value problems for linear higher-order PDEs (35G16)

Related Items (8)

A space-time spectral method for multi-dimensional Sobolev equations ⋮ Completely discrete schemes for 2D Sobolev equations with Burgers' type nonlinearity ⋮ A stabilizer free weak Galerkin finite element method for second‐order Sobolev equation ⋮ Second order backward difference scheme combined with finite element method for a 2D Sobolev equation with Burgers' type non-linearity ⋮ Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations ⋮ The study of a continuous Galerkin method for Sobolev equation with space-time variable coefficients ⋮ Superconvergence error estimate of Galerkin method for Sobolev equation with Burgers' type nonlinearity ⋮ Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity

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