An adaptive finite element scheme for transient problems in CFD
Computer Methods in Applied Mechanics and Engineering
Three-dimensional triangulations from local transformations
SIAM Journal on Scientific and Statistical Computing
Minimum energy tiangulations for elliptic problems
Computer Methods in Applied Mechanics and Engineering
An adaptive finite-element strategy for the three-dimensional time-dependent Navier-Stokes equations
Journal of Computational and Applied Mathematics
Elastostatics in the presence of a temperature distribution or inhomogeneity
Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
Construction of three-dimensional improved-quality triangulations using local transformations
SIAM Journal on Scientific Computing
A Best Approximation Property of the Moving Finite Element Method
SIAM Journal on Numerical Analysis
A New Moving Mesh Algorithm for the Finite Element Solution of Variational Problems
SIAM Journal on Numerical Analysis
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In this paper we consider the adaptive finite element solution of a general class of variational problems using a combination of node insertion, node movement and edge swapping. The adaptive strategy that is proposed is based upon the construction of a hierarchy of locally optimal meshes starting with a coarse grid for which the location and connectivity of the nodes is optimized. This grid is then locally refined and the new mesh is optimized in the same manner. Results presented indicate that this approach is able to produce better meshes than those possible by more conventional adaptive strategies and in a relatively efficient manner.