Non-overlapping Domain Decomposition
Scheme For The Symmetric Radial Basis Function
Meshless Approach With Double Collocation At
The Sub-domain Interfaces
Author(s)
H. Power, A. Hernandez & A. La Rocca
Abstract
In the particular case of solving large-scale boundary value problems, the
computational cost derived as a result of the application of any numerical scheme
represents a determinant factor in the determination of its computational
efficiency. The present work studies the influence of the non-overlapping
domain decomposition on the symmetric radial basis collocation method, as a
way to improve its efficiency under high demanding numerical conditions. Due
to the Hermitian character of the symmetric scheme at each of the collocations
points of the sub-domain interfaces it is possible to impose simultaneously all the
corresponding matching conditions. A multi-zone problem is considered as a test
example, comparison between the numerical result and the analytical solution for
two set of different physical parameters are presented.
Keywords: symmetric RBF meshless approach, domain decomposition and
double collocation.
1 Introduction
The use of a mesh is a basic characteristic of traditional numerical approaches
for the solution of partial differential equations, as is the case of the finite
difference, element, volume and the boundary element methods. In the first
cases, assumptions are made for the local approximation, which require internal
mesh to support them. On the other hand, in the case on boundary methods, a
Keywords
symmetric RBF meshless approach, domain decomposition and
double collocation.
Related Book
Other papers in this volume
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