Equidistributing principles in moving finite element methods

DOI10.1016/0377-0427(83)90009-2zbMath0532.65074OpenAlexW2085267160MaRDI QIDQ789155

N. E. Zubov

Publication date: 1983

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(83)90009-2

zbMATH Keywords

Burgers' equationPetrov-Galerkin methodleast squares methodpenalty functionmoving finite element methodproduct approximationcomparison of methodequidistributing principleplacement of the nodes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (8)

Towards an automated environment in computational mechanics ⋮ Finite element method for one-dimensional and two-dimensional time dependent problems with B-splines ⋮ A study of moving mesh methods applied to a thin flame propagating in a detonator delay element ⋮ An evaluation of the gradient-weighted moving-finite-element method in one space dimension ⋮ On equidistributing principles in moving finite element methods ⋮ Review of some adaptive node-movement techniques in finite-element and finite-difference solutions of partial differential equations ⋮ Grid adjustment based on a posteriori error estimators ⋮ Two-dimensional fully adaptive solutions of solid-solid alloying reactions

Cites Work

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• Partial differential equations. 3rd ed
• Finite element simulation of flow in deforming regions
• 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
• Numerical solutions of the Eulerian equations of compressible flow by a finite element method which follows the free boundary and the interfaces
• Mesh selection for discrete solution of boundary problems in ordinary differential equations
• Numerical computation of the free boundary for the two-dimensional Stefan problem by space-time finite elements
• Generalized Petrov-Galerkin methods for the numerical solution of Burgers' equation
• Moving Finite Elements. I
• Moving Finite Elements. II
• Space‐time finite elements incorporating characteristics for the burgers' equation
• Product Approximation for Non-linear Problems in the Finite Element Method
• Continuously deforming finite elements for the solution of parabolic problems, with and without phase change
• An Adaptive Finite Element Method for Initial-Boundary Value Problems for Partial Differential Equations
• On the Numerical Solution of Initial/Boundary-Value Problems in One Space Dimension
• A moving Petrov-Galerkin method for transport equations
• Adaptive Mesh Selection Strategies for Solving Boundary Value Problems
• On Selection of Equidistributing Meshes for Two-Point Boundary-Value Problems
• A second order finite element method for the one-dimensional Stefan problem

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