Quasi-optimal convergence rate for an adaptive boundary element method (Q2840401)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Quasi-optimal convergence rate for an adaptive boundary element method |
scientific article; zbMATH DE number 6189193
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-optimal convergence rate for an adaptive boundary element method |
scientific article; zbMATH DE number 6189193 |
Statements
18 July 2013
0 references
adaptive boundary element method
0 references
adaptive algorithm
0 references
error reduction
0 references
optimal convergence
0 references
screen problem
0 references
Laplace equation
0 references
numerical examples
0 references
Galerkin boundary element method
0 references
weakly singular intergral equation
0 references
simple layer potential
0 references
Quasi-optimal convergence rate for an adaptive boundary element method (English)
0 references
The authors are concerned with the lowest-order Galerkin boundary element method (BEM) in order to solve the weakly singular intergral equation associated with the simple layer potential of 3D Laplacian. They introduce an \(h\)-adaptive BEM in the following steps: solve, estimate, mark and refine. They also show its linear convergence and identify an approximation class for which the method converges at the optimal rate. The adaptive technique is illustrated on the 2D screen problem known for strong edge singularities of its solution.
0 references
