Preserving positivity for hyperbolic PDEs using variable-order finite elements with bounded polynomials

DOI10.1016/j.apnum.2004.08.031zbMath1064.65109OpenAlexW1988455931MaRDI QIDQ1765346

Martin Berzins

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.08.031

zbMATH Keywords

numerical exampleFinite elementsadvection equationsPositivityHyperbolic equationsBounded polynomials

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (2)

Optimization-based limiters for the spectral element method ⋮ Higher-order discrete maximum principle for 1D diffusion-reaction problems

Cites Work

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• A Positivity Preserving Finite Element Method for Hyperbolic Partial Differential Equations
• Multiresolution algorithms for the numerical solution of hyperbolic conservation laws
• Spectral methods for hyperbolic problems

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