Weighted error estimates for transient transport problems discretized using continuous finite elements with interior penalty stabilization on the gradient jumps

DOI10.1007/s10013-022-00550-xOpenAlexW3155319285WikidataQ114228676 ScholiaQ114228676MaRDI QIDQ2081559

Erik Burman

Publication date: 13 October 2022

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06880

zbMATH Keywords

stabilityinitial-boundary value problemcontinuous Galerkinstabilized methodsscalar hyperbolic transport equations

Mathematics Subject Classification ID

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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) First-order hyperbolic equations (35L02) Transport equations (35Q49)

Related Items (2)

Some Observations on the Interaction Between Linear and Nonlinear Stabilization for Continuous Finite Element Methods Applied to Hyperbolic Conservation Laws ⋮ Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping

Uses Software

• FreeFem++

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