Meshfree Methods For Partial Differential Equations

Author : Michael Griebel,Marc A. Schweitzer
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642561030

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Meshfree Methods for Partial Differential Equations by Michael Griebel,Marc A. Schweitzer Pdf

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 are 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 discretizations is their independence of a mesh so that the costs of mesh generation are eliminated. Also, the treatment of time-dependent PDEs from a Lagrangian point of view and 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.

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer Science & Business Media
Page : 307 pages
File Size : 52,5 Mb
Release : 2006-09-21
Category : Mathematics
ISBN : 9783540270997

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Meshfree Methods for Partial Differential Equations II by Michael Griebel,Marc Alexander Schweitzer Pdf

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. 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 Second International Workshop on Meshfree Methods held in September 2003 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this new and exciting area of interdisciplinary research and to present recent advances and results in this field.

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer
Page : 240 pages
File Size : 40,5 Mb
Release : 2017-04-05
Category : Computers
ISBN : 9783319519548

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Meshfree Methods for Partial Differential Equations VIII by Michael Griebel,Marc Alexander Schweitzer Pdf

There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s. The growing interest in these methods is in part due to the fact that they offer extremely flexible numerical tools and can be interpreted in a number of ways. 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. Furthermore, meshfree methods have a number of advantageous features that are especially attractive when dealing with multiscale phenomena: A-priori knowledge about the solution’s particular local behavior can easily be introduced into the meshfree approximation space, and coarse scale approximations can be seamlessly refined by adding fine scale information. However, the implementation of meshfree methods and their parallelization also requires special attention, for instance with respect to numerical integration.

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 48,9 Mb
Release : 2008-10-16
Category : Mathematics
ISBN : 9783540799948

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Meshfree Methods for Partial Differential Equations IV by Michael Griebel,Marc Alexander Schweitzer Pdf

The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a active research field both in the mathematics and engineering community. 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.

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 51,9 Mb
Release : 2007-07-18
Category : Mathematics
ISBN : 9783540462224

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Meshfree Methods for Partial Differential Equations III by Michael Griebel,Marc Alexander Schweitzer Pdf

Meshfree methods for the numerical solution of partial differential equations are becoming more and more mainstream in many areas of applications. This volume represents the state-of-the-art in meshfree methods. It consists of articles which address the different meshfree techniques, their mathematical properties and their application in applied mathematics, physics and engineering.

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 41,5 Mb
Release : 2010-11-04
Category : Mathematics
ISBN : 9783642162299

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Meshfree Methods for Partial Differential Equations V by Michael Griebel,Marc Alexander Schweitzer Pdf

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.

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer
Page : 324 pages
File Size : 42,6 Mb
Release : 2014-12-02
Category : Mathematics
ISBN : 9783319068985

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Meshfree Methods for Partial Differential Equations VII by Michael Griebel,Marc Alexander Schweitzer Pdf

Meshfree methods, particle methods, and generalized finite element methods have witnessed substantial development since the mid 1990s. 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. 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. 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. This volume collects selected papers presented at the Seventh International Workshop on Meshfree Methods, held in Bonn, Germany in September 2013. They address various aspects of this highly dynamic research field and cover topics from applied mathematics, physics and engineering.

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer
Page : 206 pages
File Size : 51,9 Mb
Release : 2019-06-19
Category : Mathematics
ISBN : 9783030151195

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Meshfree Methods for Partial Differential Equations IX by Michael Griebel,Marc Alexander Schweitzer Pdf

This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering. The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. While the fundamental theory of meshfree methods has been developed and considerable advances of the various methods have been made, many challenges in the mathematical analysis and practical implementation of meshfree methods remain. This symposium aims to promote collaboration among engineers, mathematicians, and computer scientists and industrial researchers to address the development, mathematical analysis, and application of meshfree and particle methods especially to multiscale phenomena. It continues the 2-year-cycled Workshops on Meshfree Methods for Partial Differential Equations.

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer
Page : 244 pages
File Size : 53,5 Mb
Release : 2012-12-14
Category : Computers
ISBN : 3642329780

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Meshfree Methods for Partial Differential Equations VI by Michael Griebel,Marc Alexander Schweitzer Pdf

Meshfree methods are a modern alternative to classical mesh-based discretization techniques such as finite differences or finite element methods. Especially in a time-dependent setting or in the treatment of problems with strongly singular solutions their independence of a mesh makes these methods highly attractive. This volume collects selected papers presented at the Sixth International Workshop on Meshfree Methods held in Bonn, Germany in October 2011. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering. ​

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer
Page : 270 pages
File Size : 44,7 Mb
Release : 2010-11-05
Category : Mathematics
ISBN : 3642162282

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Meshfree Methods for Partial Differential Equations V by Michael Griebel,Marc Alexander Schweitzer Pdf

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.

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer
Page : 0 pages
File Size : 45,6 Mb
Release : 2004-12-02
Category : Mathematics
ISBN : 3540230262

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Meshfree Methods for Partial Differential Equations II by Michael Griebel,Marc Alexander Schweitzer Pdf

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. 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 Second International Workshop on Meshfree Methods held in September 2003 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this new and exciting area of interdisciplinary research and to present recent advances and results in this field.

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer
Page : 311 pages
File Size : 48,6 Mb
Release : 2009-09-02
Category : Mathematics
ISBN : 3540803750

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Meshfree Methods for Partial Differential Equations II by Michael Griebel,Marc Alexander Schweitzer Pdf

Author : Michael Griebel,Marc A. Schweitzer
Publisher : Springer
Page : 471 pages
File Size : 44,5 Mb
Release : 2002-09-18
Category : Mathematics
ISBN : 3540438912

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Meshfree Methods for Partial Differential Equations by Michael Griebel,Marc A. Schweitzer Pdf

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 are 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 discretizations is their independence of a mesh so that the costs of mesh generation are eliminated. Also, the treatment of time-dependent PDEs from a Lagrangian point of view and 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.

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Unknown
Page : 128 pages
File Size : 40,6 Mb
Release : 2019
Category : Differential equations, Partial
ISBN : 3030151204

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Meshfree Methods for Partial Differential Equations IX by Michael Griebel,Marc Alexander Schweitzer Pdf

This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering. The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. While the fundamental theory of meshfree methods has been developed and considerable advances of the various methods have been made, many challenges in the mathematical analysis and practical implementation of meshfree methods remain. This symposium aims to promote collaboration among engineers, mathematicians, and computer scientists and industrial researchers to address the development, mathematical analysis, and application of meshfree and particle methods especially to multiscale phenomena. It continues the 2-year-cycled Workshops on Meshfree Methods for Partial Differential Equations.

Author : Michael Griebel,Marc Alexander Schweitzer
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 55,9 Mb
Release : 2008-10-10
Category : Mathematics
ISBN : 9783540799931

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Meshfree Methods for Partial Differential Equations IV by Michael Griebel,Marc Alexander Schweitzer Pdf

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. 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 proceedings papers of the Fourth International Workshop on Meshfree Methods held in September 2007 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. 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.