An \(H^1\)-Galerkin mixed finite element method for Rosenau equation

DOI10.1007/s40314-023-02255-4zbMath1524.65527OpenAlexW4360980412MaRDI QIDQ6044731

L. Jones Tarcius Doss, L. Aishwarya

Publication date: 22 May 2023

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

Full work available at URL: https://doi.org/10.1007/s40314-023-02255-4

zbMATH Keywords

weak solutioncubic B-spline\(H^1\)-Galerkin mixed finite element methodsemi discrete and fully discrete schemesauxiliary projectionnonlinear Rosenau equationoptimal order estimate

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Finite difference methods for boundary value problems involving PDEs (65N06)

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