On the accuracy and efficiency of a finite element tensor product algorithm for fluid dynamics applications

DOI10.1016/0045-7825(81)90150-XzbMath0472.76078OpenAlexW2011565612MaRDI QIDQ1158311

A. J. Baker, M. O. Soliman

Publication date: 1981

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(81)90150-x

zbMATH Keywords

Burgers equationnumerical dissipationsolid body rotationcosine hillCrank- Nicolson procedureinviscid time-dependent Euler equationsNewton iteration techniquenon-linear matrix system

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

Accuracy and convergence of a finite element algorithm for turbulent boundary layer flow, Automated three-dimensional grid refinement on a minicomputer, Algebraic grid generation

Cites Work

• Utility of a finite element solution algorithm for initial-value problems
• An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
• The method of fractional steps for the solution of problems in continuum mechanics
• An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
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