an:00932021
Zbl 0873.65098
Siebert, Kunibert G.
An a posteriori error estimator for anisotropic refinement
EN
Numer. Math. 73, No. 3, 373-398 (1996).
00036291
1996
j
65N15 65N30 65N50 35J25
adaptive finite elements; grid refinement; a posteriori error estimator; adaptive method; second-order elliptic problems; numerical examples
From the author's summary: Besides an algorithm for local refinement, an a posteriori error estimator is a basic tool of every adaptive method. Using information generated by such an error estimator the refinement of the grid is controlled. For second-order elliptic problems an error for anisotropically refined grids (like \(n-D\) cuboidal and \(3-D\) prismatic grids) is presented. This error estimator gives correct information about the size of the error and generates information about the direction into which some elements have to be refined to reduce the error in a proper way. A number of numerical examples for \(2-D\) rectangular and \(3-D\) prismatic grids are presented.
R.R.D.Lazarov (College Station)