Mesh Smoothing Using A Posteriori Error Estimates
- 1 June 1997
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 34 (3) , 979-997
- https://doi.org/10.1137/s0036142994265292
Abstract
We develop a simple mesh-smoothing algorithm for adaptively improving finite-element triangulations. The algorithm makes use of a posteriori error estimates which are now widely used in finite-element calculations. In this paper we derive the method, present some numerical illustrations, and give a brief analysis of the issue of uniqueness.Keywords
This publication has 16 references indexed in Scilit:
- A Posteriori Error Estimates Based on Hierarchical BasesSIAM Journal on Numerical Analysis, 1993
- On optimal triangular meshes for minimizing the gradient errorNumerische Mathematik, 1991
- An adaptive mesh-moving and local refinement method for time-dependent partial differential equationsACM Transactions on Mathematical Software, 1990
- Data Dependent Triangulations for Piecewise Linear InterpolationIMA Journal of Numerical Analysis, 1990
- Laplacian smoothing and Delaunay triangulationsCommunications in Applied Numerical Methods, 1988
- A Local Refinement Finite-Element Method for Two-Dimensional Parabolic SystemsSIAM Journal on Scientific and Statistical Computing, 1988
- Second-order finite element approximations and a posteriori error estimation for two-dimensional parabolic systemsNumerische Mathematik, 1988
- A Moving Finite Element Method with Error Estimation and Refinement for One-Dimensional Time Dependent Partial Differential EquationsSIAM Journal on Numerical Analysis, 1986
- Some a posteriori error estimators for elliptic partial differential equationsMathematics of Computation, 1985
- A method of grid optimization for finite element methodsComputer Methods in Applied Mechanics and Engineering, 1983