Moving finite element, least squares, and finite volume approximations of steady and time-dependent PDEs in multidimensions

DOI10.1016/S0377-0427(00)00519-7zbMath0976.65090OpenAlexW2095531275WikidataQ126439480 ScholiaQ126439480MaRDI QIDQ5931481

M. J. Baines

Publication date: 4 July 2001

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00519-7

zbMATH Keywords

finite volumeleast squaresmoving finite elementsmoving nodes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

A finite element method to model progressive fracturing ⋮ A gradient weighted moving finite-element method with polynomial approximation of any degree

Cites Work

• A multidimensional generalization of Roe's flux difference splitter for the Euler equations
• An optimal triangulation for second-order elliptic problems
• Simple adaptive grids for 1-D initial value problems
• A practical guide to splines
• Grid adaptation via node movement
• Least squares moving finite elements
• Analysis of an algorithm for generating locally optimal meshes for 𝐿₂ approximation by discontinuous piecewise polynomials
• Moving Finite Elements. I
• Moving Finite Elements. II
• A New Moving Mesh Algorithm for the Finite Element Solution of Variational Problems
• Self–similar numerical solutions of the porous–medium equation using moving mesh methods
• Algorithms for Optimal Discontinuous Piecewise Linear and Constant L 2 Fits to Continuous Functions with Adjustable Nodes in One and Two Dimensions
• Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
• Design and Application of a Gradient-Weighted Moving Finite Element Code I: in One Dimension
• Design and Application of a Gradient-Weighted Moving Finite Element Code II: in Two Dimensions
• Compact high-resolution algorithms for time-dependent advection on unstructured grids
• Least squares and approximate equidistribution in multidimensions
• Fluctuations and signals for scalar hyperbolic equations on adjustable meshes
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Moving finite element, least squares, and finite volume approximations of steady and time-dependent PDEs in multidimensions