Aspects of conservation in finite element flow computations

DOI10.1016/0045-7825(94)90127-9zbMath0847.76034OpenAlexW2059783298MaRDI QIDQ1913148

Peter Hansbo

Publication date: 13 June 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(94)90127-9

zbMATH Keywords

numerical integrationmass lumpingnon-conservative variablesquasilinear formulationssimplified projections

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10)

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Cites Work

• The characteristic streamline diffusion method for convection-diffusion problems
• A new approach to algorithms for convection problems which are based on exact transport + projection
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• Explicit streamline diffusion finite element methods for the compressible Euler equations in conservation variables
• Quadrature formulae
• The lumped mass finite element method for a parabolic problem
• Are fem solutions of incompressible flows really incompressible? (or how simple flows can cause headaches!)
• Space‐time oriented streamline diffusion methods for non‐linear conservation laws in one dimension
• Systems of conservation laws
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