The panel clustering method in 3-D BEM. (English) Zbl 0901.65070

Sauter, Stefan A.

Papanicolaou, George (ed.), Wave propagation in complex media. New York, NY: Springer. IMA Vol. Math. Appl. 96, 199-224 (1998).

The panel clustering algorithm is applied to 3-D boundary elements. Considerable computer savings in the dense and unsymmetric system of equations generation and solution can be observed. A numerical test for a potential problem is used to illustrate the computer saving in the Galerkin and point collocation implementations.
For the entire collection see [Zbl 0880.00025].

Reviewer: J.C.F.Telles (Rio de Janeiro)

MSC:

65N38	Boundary element methods for boundary value problems involving PDEs
35J05	Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation

Keywords:

Galerkin method; Laplace equation; numerical example; panel clustering algorithm; boundary elements; collocation