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Titlebook: Meshfree Methods for Partial Differential Equations V; Michael Griebel,Marc Alexander Schweitzer Conference proceedings 2011 Springer-Verl

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书目名称Meshfree Methods for Partial Differential Equations V
编辑Michael Griebel,Marc Alexander Schweitzer
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Computational Science and Engineering
图书封面Titlebook: Meshfree Methods for Partial Differential Equations V;  Michael Griebel,Marc Alexander Schweitzer Conference proceedings 2011 Springer-Verl
描述The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is an extremely active research field, both in the mathematics and engineering communities. Meshfree methods are becoming increasingly mainstream in various applications. 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. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the papers from the proceedings of the Fifth International Workshop on Meshfree Methods, held in Bonn in August 2009. The articles address the different meshfree methods and their use in applied mathematics, physics and engineering. The volume is intended to foster this highly active and exciting area of interdisciplinary research and to present recent advances and findings in this field.
出版日期Conference proceedings 2011
关键词element-free Galerkin method; engineering applications; meshfree discretizations; partial differential
版次1
doihttps://doi.org/10.1007/978-3-642-16229-9
isbn_softcover978-3-642-26583-9
isbn_ebook978-3-642-16229-9Series ISSN 1439-7358 Series E-ISSN 2197-7100
issn_series 1439-7358
copyrightSpringer-Verlag Berlin Heidelberg 2011
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Meshfree Methods for Partial Differential Equations V978-3-642-16229-9Series ISSN 1439-7358 Series E-ISSN 2197-7100
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Michael Griebel,Marc Alexander SchweitzerIncludes supplementary material:
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Treatment of general domains in two space dimensions in a Partition of Unity Method,ace dimensions which we assume to be given as CAD/IGES data. In particular we focus on the particle-partition of unity method (PPUM) yet the presented technique is applicable to most meshfree Galerkin methods. The basic geometric operation employed in our cut-cell type approach is the intersection o
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Pressure XFEM for two-phase incompressible flows with application to 3D droplet problems,et approach for interface capturing. The approximation of the discontinuous pressure in standard finite element spaces yields poor results with an error of order 0.5 w.r.t. the .. norm. Second order approximations can be achieved by the introduction of an extended finite element space (XFEM) adding
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