Mixed finite element analysis for dissipative SRLW equations with damping term

DOI10.1016/j.amc.2011.10.020zbMath1246.65183OpenAlexW2093995338MaRDI QIDQ426480

Xiaoping Xie, Youcai Xu, Bing Hu, Jin-Song Hu

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.10.020

zbMATH Keywords

numerical exampleserror estimatemixed finite elementdissipative damping termsymmetric regularized long wave equation

Mathematics Subject Classification ID

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) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (8)

Numerical simulation and convergence analysis of a high-order conservative difference scheme for SRLW equation ⋮ Coupled and decoupled high‐order accurate dissipative finite difference schemes for the dissipative generalized symmetric regularized long wave equations ⋮ A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations ⋮ A decoupled and conservative difference scheme with fourth-order accuracy for the symmetric regularized long wave equations ⋮ \(L^{\infty }\) error bound of conservative compact difference scheme for the generalized symmetric regularized long-wave (GSRLW) equations ⋮ Mixed finite element methods for the Rosenau equation ⋮ Galerkin finite element methods for two-dimensional RLW and SRLW equations ⋮ Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations

Cites Work

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• Mixed Finite Element Analysis and Numerical Solitary Solution for the RLW Equation
• Equivalent Norms for Sobolev Spaces

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