Boundary particle method: Difference between revisions

Revision as of 06:28, 1 May 2013

Revision as of 19:17, 9 January 2014

Line 1:

{{expert-subject|1=Mathematics|date=April 2012}}

In [[applied mathematics]], the '''boundary particle method (BPM)''' is a truly boundary-only [[meshfree method|meshless (meshfree)]] [[collocation method|collocation technique]], in the sense that none of inner nodes are required at all in the numerical solution of nonhomogeneous [[partial differential equations]]. Numerical experiments also show that the BPM has [[spectral [[convergence]]{{dn|date=June 2012}}. Its interpolation matrix can be symmetric and the method is easy-to-implement and free of integration and mesh. Thanks to its boundary-only merit, the BPM has clear edge over the other numerical schemes in the solution of [[optimization]] and [[inverse problems]], where only a part of boundary data is usually accessible.

== History and recent developments ==