Meshfree Methods for Partial Differential Equations II.

Griebel, Michael; Marc A. Schweitzer (Eds.)

ISBN 10: 3540230262 / ISBN 13: 9783540230267

Published by Berlin, Springer., 2005

About this Item

Band 43. 157 figs., 11 tabs., VII, 303 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Lecture Notes in Computational Science and Engineering. Sprache: Englisch. Seller Inventory # 35303HB

Bibliographic Details

Title: Meshfree Methods for Partial Differential ...

Publisher: Berlin, Springer.

Publication Date: 2005

Binding: Soft cover

About this title

Synopsis:

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. 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. 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. 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. 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. The organizers Ivo Babu? ska, Ted Belytschko, Michael Griebel, Wing Kam Liu, Helmut Neunzert, and Harry Yserentant invited scientist from twelve co- tries to Bonn with the aim to bring together European, American and Asian researchers working in this exciting area of interdisciplinary research. The objective of the workshop was not only to strengthen the mathematical - derstanding and analysis of meshfree discretizations but also to promote the exchange of ideas on their implementation and application.

From the Back Cover:

Meshfree methods for the solution of partial differential equations gained much attention in recent years, not only in the engineering but also in the mathematics community. One of the reasons for this development is the fact that meshfree discretizations and particle models ar often better suited to cope with geometric changes of the domain of interest, e.g. free surfaces and large deformations, than classical discretization techniques such as finite differences, finite elements or finite volumes. Another obvious advantage of meshfree discretization is their independence of a mesh so that the costs of mesh generation are eliminated. Also, the treatment of time-dependent PDE from a Lagrangian point of view and the coupling of particle models. The coupling of particle models and continuous models gained enormous interest in recent years from a theoretical as well as from a practial point of view. This volume consists of articles which address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM etc.) and their application in applied mathematics, physics and engineering.