โ Scribed by O.O. Ademoyero; M.C. Bartholomew-Biggs; A.J. Davies; S.C. Parkhurst
No coin nor oath required. For personal study only.
This paper deals with the symmetric linear systems of equations arising in the Galerkin boundary element method. In particular, we consider the application of several variants of the conjugate-gradient method to these systems and present some numerical results which shows that a simple preconditioning strategy can lead to significant improvements in solution times.
๐ SIMILAR VOLUMES
A Boundary Element Method (BEM)-based inverse algorithm utilizing the iterative regularization method, i.e. the conjugate gradient method (CGM), is used to solve the Inverse Heat Conduction Problem (IHCP) of estimating the unknown transient boundary temperatures in a multi-dimensional domain with ar
The parallel version of precondition techniques is developed for matrices arising from the Galerkin boundary element method for two-dimensional domains with Dirichlet boundary conditions. Results were obtained for implementations on a transputer network as well as on an nCUBE-2 parallel computer sho
The Dirichlet and Neumann problems for the Laplacian are reformulated in the usual way as boundary integral equations of the first kind with symmetric kernels. These integral equations are solved using Galerkin's method with piecewise-constant and piecewise-linear boundary elements, respectively. In
This paper examines the efficient integration of a Symmetric Galerkin Boundary Element Analysis (SGBEA) method with multi-zone resulting in a fully symmetric Galerkin multi-zone formulation. In a previous approach, a Galerkin multi-zone method was developed where the interfacial nodes are assigned d