an:01002516
Zbl 0872.65099
Canuto, C.; Cravero, I.
A wavelet-based adaptive finite element method for advection-diffusion equations
EN
Math. Models Methods Appl. Sci. 7, No. 2, 265-289 (1997).
0218-2025 1793-6314
1997
j
65N30 65N50 35J25
wavelet-based adaptive finite element method; Delaunay triangulation; convection-diffusion problem
The authors propose a new wavelet-based procedure for adapting the finite element method to structure of the solutions. First the finite element solution is computed on the given mesh, and then it is analyzed by wavelets on a super imposed regular grid. The result of analysis leads to a new adapted distribution of grid points via a Delaunay triangulation. The authors give several examples of discretizations of a convection-diffusion problem which indicate the flexibility of this approach.
V.V.Strygin (Voronezh)