The removal of overshoot in P.D.E. solutions by the use of special basis functions

DOI10.1016/0045-7825(94)00049-SzbMath0851.76063OpenAlexW1996132824MaRDI QIDQ1913206

John Greenstadt

Publication date: 28 November 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)00049-s

zbMATH Keywords

Dirichlet problemconvection-diffusion problemvibrating membraneMotz's problemcell discretization algorithmboundary-value jumpsteep boundary layer

Mathematics Subject Classification ID

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Cites Work

• The use of nonrational functions to represent steep front solutions to partial differential equations
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• Penalty-combined method and applications in solving elliptic problems with singularities
• The Application of Cell Discretization to a “Circle in the Square” Model Problem
• The Cell Discretization Algorithm for Elliptic Partial Differential Equations
• Cell Discretization of Nonselfadjoint Linear Elliptic Partial Differential Equations
• Approximations and Bounds for Eigenvalues of Elliptic Operators