An implementation of a moving finite element method

DOI10.1016/0021-9991(86)90090-2zbMath0598.65085OpenAlexW2010094394MaRDI QIDQ1079937

Andrew N. Hrymak, Gregory J. McRae, Arthur W. Westerberg

Publication date: 1986

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90090-2

zbMATH Keywords

combustionmoving finite element methodnonlinear wave propagationBurger's equationoil reservoirsteep gradientsadaptive gridding procedure

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Partial differential equations of mathematical physics and other areas of application (35Q99) Method of lines for boundary value problems involving PDEs (65N40)

Related Items (6)

A comparison of differential quadrature methods for the solution of partial differential equations ⋮ Moving finite element methods for evolutionary problems. II: Applications ⋮ An efficient localized meshless collocation method for the two-dimensional Burgers-type equation arising in fluid turbulent flows ⋮ A numerical study of three moving-grid methods for one-dimensional partial differential equations which are based on the method of lines ⋮ A computer model for one-dimensional mass and energy transport in and around chemically reacting particles, including complex gas-phase chemistry, multicomponent molecular diffusion, surface evaporation, and heterogeneous reaction ⋮ The modified local Crank-Nicolson method for one- and two-dimensional Burgers' equations

Cites Work

• The moving finite element method: Applications to general partial differential equations with multiple large gradients
• Unified approach to simulation on deforming elements with application to phase change problems
• Generalized Petrov-Galerkin methods for the numerical solution of Burgers' equation
• Moving Finite Elements. I
• Moving Finite Elements. II
• On the Structure of the Moving Finite-element Equations
• A moving Petrov-Galerkin method for transport equations
• Mesh-Independent Spectra in the Moving Finite Element Equations
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