meshfree methods for partial differential equations

They address various aspects of this highly dynamic research field and cover topics from applied mathematics, physics and engineering. A new numerical method, which is based on the coupling between semi-Lagrangian (SL) method and element free Galerkin (EFG) method, is developed for convectiondiffusion partial differential equations with dominated convection terms. Outside of the three volume discretization based methods discussed in the preceding three subsections, a myriad of other methods for solving PDEs exist and continue to be used.

This volume collects selected papers presented at the Seventh International Workshop on Meshfree Methods, held in Bonn, Germany in September 2013. Sandip Mazumder, in Numerical Methods for Partial Differential Equations, 2016. Furthermore, meshfree methods offer a number of advantageous features which are especially attractive when dealing with multiscale phenomena: a priori knowledge about particular local behavior of the solution can easily be introduced in the meshfree approximation space, and coarse-scale approximations can be seamlessly refined with fine-scale information. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. The growing interest in these methods is due in part to the fact that they are extremely flexible numerical tools and can be interpreted in a number of ways. 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.Meshfree methods, particle methods, and generalized finite element methods have witnessed substantial development since the mid 1990s. 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