Extended Finite Element and Meshfree Methods

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  • Author : Timon Rabczuk
  • Publisher : Academic Press
  • Pages : 638 pages
  • ISBN : 0128141077
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Extended Finite Element and Meshfree Methods

Download or Read online Extended Finite Element and Meshfree Methods full in PDF, ePub and kindle. this book written by Timon Rabczuk and published by Academic Press which was released on 13 November 2019 with total page 638 pages. We cannot guarantee that Extended Finite Element and Meshfree Methods book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method and extended isogeometric analysis. This book also addresses their implementation and provides small MATLAB codes on each sub-topic. Also discussed are the challenges and efficient algorithms for tracking the crack path which plays an important role for complex engineering applications. Explains all the important theory behind XFEM and meshfree methods Provides advice on how to implement XFEM for a range of practical purposes, along with helpful MATLAB codes Draws on the latest research to explore new topics, such as the applications of XFEM to shell formulations, and extended meshfree and extended isogeometric methods Introduces alternative modeling methods to help readers decide what is most appropriate for their work

Extended Finite Element and Meshfree Methods

Extended Finite Element and Meshfree Methods
  • Author : Timon Rabczuk,Jeong-Hoon Song,Xiaoying Zhuang,Cosmin Anitescu
  • Publisher : Academic Press
  • Release : 13 November 2019
GET THIS BOOK Extended Finite Element and Meshfree Methods

Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold

Extended Finite Element Method

Extended Finite Element Method
  • Author : Amir R. Khoei
  • Publisher : John Wiley & Sons
  • Release : 23 February 2015
GET THIS BOOK Extended Finite Element Method

Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Extended Finite Element Method: Theory and Applications introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics. The XFEM approach is based on an extension of standard finite element method based on the partition of unity method. Extended Finite Element Method: Theory and Applications

Advances in Meshfree and X fem Methods

Advances in Meshfree and X fem Methods
  • Author : Gui-Rong Liu
  • Publisher : World Scientific
  • Release : 18 May 2022
GET THIS BOOK Advances in Meshfree and X fem Methods

This book contains 36 articles covering most of the topics in the rapidly developing areas of meshfree methods and extended finite element methods (X-FEM). These topics include domain discretization, boundary discretization, combined domain/boundary discretization, meshfree particle methods, collocation methods, X-FEM, etc. Papers on issues related to implementation and coding of meshfree methods are also presented. The areas of applications of meshfree methods include solving general partial differential equations, the mechanics of solids and structures, smart material/structures, soil-structures, fracture mechanics,

An Introduction to Meshfree Methods and Their Programming

An Introduction to Meshfree Methods and Their Programming
  • Author : G.R. Liu,Y.T. Gu
  • Publisher : Springer Science & Business Media
  • Release : 05 December 2005
GET THIS BOOK An Introduction to Meshfree Methods and Their Programming

The finite difference method (FDM) hasbeen used tosolve differential equation systems for centuries. The FDM works well for problems of simple geometry and was widely used before the invention of the much more efficient, robust finite element method (FEM). FEM is now widely used in handling problems with complex geometry. Currently, we are using and developing even more powerful numerical techniques aiming to obtain more accurate approximate solutions in a more convenient manner for even more complex systems. The meshfree

Advances in Meshfree and X FEM Methods

Advances in Meshfree and X FEM Methods
  • Author : G R Liu
  • Publisher : World Scientific
  • Release : 16 December 2002
GET THIS BOOK Advances in Meshfree and X FEM Methods

This book is a collection of the papers from the proceedings of the 1st Asian Workshop on Meshfree Methods held in conjunction with the 2nd International Conference on Structural Stability & Dynamics (ICSSD02) on 16-18 December 2002 in Singapore. It contains 36 articles covering most of the topics in the rapidly developing areas of meshfree methods and extended finite element methods (X-FEM). These topics include domain discretization, boundary discretization, combined domain/boundary discretization, meshfree particle methods, collocation methods, X-FEM, etc. Papers on issues

The Finite Element Method in Engineering

The Finite Element Method in Engineering
  • Author : Singiresu S. Rao
  • Publisher : Butterworth-Heinemann
  • Release : 31 October 2017
GET THIS BOOK The Finite Element Method in Engineering

The Finite Element Method in Engineering, Sixth Edition, provides a thorough grounding in the mathematical principles behind the Finite Element Analysis technique—an analytical engineering tool originated in the 1960's by the aerospace and nuclear power industries to find usable, approximate solutions to problems with many complex variables. Rao shows how to set up finite element solutions in civil, mechanical and aerospace engineering applications. The new edition features updated real-world examples from MATLAB, Ansys and Abaqus, and a new chapter

Advances in Meshfree Techniques

Advances in Meshfree Techniques
  • Author : V.M.A. Leitao,C.J.S. Alves,C. Armando Duarte
  • Publisher : Springer Science & Business Media
  • Release : 26 May 2007
GET THIS BOOK Advances in Meshfree Techniques

The book collects extended original contributions presented at the first ECCOMAS Conference on Meshless Methods held in 2005 in Lisbon. The list of contributors is a mix of highly distinguished authors as well as promising young researchers. This means that the reader gets a varied and contemporary view on different mesh reduction methods and its range of applications. The material presented is appropriate for researchers, engineers, physicists, applied mathematicians and graduate students interested in this active research area.

Meshfree Methods for Partial Differential Equations III

Meshfree Methods for Partial Differential Equations III
  • Author : Michael Griebel,Marc Alexander Schweitzer
  • Publisher : Springer Science & Business Media
  • Release : 18 July 2007
GET THIS BOOK Meshfree Methods for Partial Differential Equations III

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.

Computational Fluid and Solid Mechanics

Computational Fluid and Solid Mechanics
  • Author : K.J. Bathe
  • Publisher : Elsevier
  • Release : 21 May 2001
GET THIS BOOK Computational Fluid and Solid Mechanics

The MIT mission - "to bring together Industry and Academia and to nurture the next generation in computational mechanics is of great importance to reach the new level of mathematical modeling and numerical solution and to provide an exciting research environment for the next generation in computational mechanics." Mathematical modeling and numerical solution is today firmly established in science and engineering. Research conducted in almost all branches of scientific investigations and the design of systems in practically all disciplines of

Error Estimates for Advanced Galerkin Methods

Error Estimates for Advanced Galerkin Methods
  • Author : Marcus Olavi Rüter
  • Publisher : Springer Nature
  • Release : 07 November 2019
GET THIS BOOK Error Estimates for Advanced Galerkin Methods

This monograph provides a compendium of established and novel error estimation procedures applied in the field of Computational Mechanics. It also includes detailed derivations of these procedures to offer insights into the concepts used to control the errors obtained from employing Galerkin methods in finite and linearized hyperelasticity. The Galerkin methods introduced are considered advanced methods because they remedy certain shortcomings of the well-established finite element method, which is the archetypal Galerkin (mesh-based) method. In particular, this monograph focuses on

Meshfree Methods for Partial Differential Equations IX

Meshfree Methods for Partial Differential Equations IX
  • Author : Michael Griebel,Marc Alexander Schweitzer
  • Publisher : Springer
  • Release : 19 June 2019
GET THIS BOOK Meshfree Methods for Partial Differential Equations IX

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,

Meshfree Methods for Partial Differential Equations II

Meshfree Methods for Partial Differential Equations II
  • Author : Michael Griebel,Marc Alexander Schweitzer
  • Publisher : Springer Science & Business Media
  • Release : 21 September 2006
GET THIS BOOK Meshfree Methods for Partial Differential Equations II

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

Meshfree Methods for Partial Differential Equations

Meshfree Methods for Partial Differential Equations
  • Author : Michael Griebel,Marc A. Schweitzer
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOK Meshfree Methods for Partial Differential Equations

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

Advanced Differential Equations

Advanced Differential Equations
  • Author : Ali Mason
  • Publisher : Scientific e-Resources
  • Release : 07 November 2019
GET THIS BOOK Advanced Differential Equations

Advanced differential equations appear in several applications especially as mathematical models in economics, an advanced term may for example reflect the dependency on anticipated capital stock. This book also deals with nonoscillation properties of scalar advanced differential equations. Some new oscillation and nonoscillation criteria are given for linear delay or advanced differential equations with variable coefficients and not necessarily constant delays or advanced arguments. The present book has been written in the light of the latest syllabi of several Universities.