meshfree methods for partial differential equations

In light of these developments the Sonderforschungsbereich 611 and the Gesellschaft fur Mathematik und Mechanik sponsored the second interna- ¨ tionalworkshoponMeshfreeMethodsforPartialDi'erentialEquations.Itwas hostedby the Institut fur ¨ Numerische Simulationatthe Rheinische Friedrich- Wilhelms Universit¨ at Bonn from September 15 to September 17, 2003. From the modelling point of view, meshfree methods gained much interest in recent years since they may provide an e'cient and reliable approach to the coupling of contiuum models to particle models. Furthermore, the computational costs associated with mesh generation are eliminated in me- free approaches, since they are based only on a set of independent points. One of the reasons for this development is the fact that meshfree d- cretizationsandparticlemodels areoftenbetter suitedto copewithgeometric changes of the domain of interest than mesh-based discretization techniques such as ?nite di'erences, ?nite elements or ?nite volumes. The volume is intended to foster this very active and exciting area of interdisciplinary research and to present recent advances and results in this field.Over the past years meshfree methods for the solution of partial di'erential equations have signi'cantly matured and are used in various ?elds of appli- tions. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. This volume of LNCSE is a collection of the proceedings papers of the Fourth International Workshop on Meshfree Methods held in September 2007 in Bonn.

Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models.

Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Book excerpt: The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. This book was released on with total page 404 pages.

Book Synopsis Meshfree Methods for Partial Differential Equations IV by : Michael Griebelĭownload or read book Meshfree Methods for Partial Differential Equations IV written by Michael Griebel and published by Springer Science & Business Media.

Meshfree methods for partial differential equations