02644cam a22003134a 4500
BYT
20171006015810.0
020815s2003 gw a b 000 0 eng
3540438912
9783540438915
14397358
BYT
eng
515.353
21
Meshfree methods for partial differential equations /
Michael Griebel, Marc Alexander Schweitzer, editors.
Berlin ;
Springer,
c2003.
ix, 466 pages :
illustracions (some colors) ;
24 cm.
Lecture notes in computational science and engineering;
26
1439-7358 ;
Includes bibliographical references.
Meshless and Generalized Finite Element Methods: A Survey of Some Major Results -- Adaptive Meshfree Method of Backward Characteristics for Nonlinear Transport Equations -- New Methods for Discontinuity and Crack Modeling in EFG -- SPH Simulations of MHD Shocks Using a Piecewise Constant Smoothing Length Profile -- On the Numerical Solution of Linear Advection-Diffusion Equation using Compactly Supported Radial Basis Functions.
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.
Differential equations, Partial
Numerical solutions.
Ecuaciones diferenciales, Parciales
2762
Meshfree methods (Numerical analysis)
Método de elementos de frontera (Análisis numérico)
2814
Griebel, Michael,
1960-
2273
editor
Schweitzer, Marc Alexander.
2273
editor
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