Optimal triangulation and quadric-based surface simplification
Computational Geometry: Theory and Applications - Special issue on multi-resolution modelling and 3D geometry compression
SIAM Journal on Scientific Computing
Anisotropic finite elements for the Stokes problem: a posteriori error estimator and adaptive mesh
Journal of Computational and Applied Mathematics
SIAM Journal on Numerical Analysis
Anisotropic mesh refinement for finite element methods based on error reduction
Journal of Computational and Applied Mathematics
SIAM Journal on Numerical Analysis
Anisotropic mesh adaptation for evolving triangulated surfaces
Engineering with Computers - Special Issue: 15th International Meshing Roundtable in 2006. Guest Editors: Philippe P. Pébay and Alan M. Shih (pp. 339 - 406). Original Articles (pp. 407 - 448)
Journal of Computational Physics
Continuous Mesh Framework Part II: Validations and Applications
SIAM Journal on Numerical Analysis
Hi-index | 7.29 |
We propose an efficient algorithm for the numerical approximation of metrics, used for anisotropic mesh adaptation on triangular meshes with finite element computations. We derive the metrics from interpolation error estimates expressed in terms of higher order derivatives, for the P"k-Lagrange finite element, k1. Numerical examples of mesh adaptation done using metrics computed with our Algorithm, and derived from higher order derivatives as error estimates, show that we obtain the right directions of anisotropy.