Meshfree and Particle Methods
暫譯: 無網格與粒子方法

Belytschko, Ted, Chen, Jason S., Hillman, Michael

Meshfree and Particle Methods
  • 出版商: Wiley
  • 出版日期: 2023-12-26
  • 售價: $4,410
  • 貴賓價: 9.5 折 $4,190
  • 語言: 英文
  • 頁數: 336
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0470848006
  • ISBN-13: 9780470848005

    • 海外代購書籍(需單獨結帳)

商品描述

Provides thorough coverage of essential concepts and state-of-the-art developments in the field

Meshfree and Particle Methods is the first book of its kind to combine comprehensive, up-to-date information on the fundamental theories and applications of meshfree methods with systematic guidance on practical coding implementation. Broad in scope and content, this unique volume provides readers with the knowledge necessary to perform research and solve challenging problems in nearly all fields of science and engineering using meshfree computational techniques.

The authors provide detailed descriptions of essential issues in meshfree methods, as well as specific techniques to address them, while discussing a wide range of subjects and use cases. Topics include approximations in meshfree methods, nonlinear meshfree methods, essential boundary condition enforcement, quadrature in meshfree methods, strong form collocation methods, and more. Throughout the book, topics are integrated with descriptions of computer implementation and an open-source code (with a dedicated chapter for users) to illustrate the connection between the formulations discussed in the text and their real-world implementation and application. This authoritative resource:

  • Explains the fundamentals of meshfree methods, their constructions, and their unique capabilities as compared to traditional methods
  • Features an overview of the open-source meshfree code RKPM2D, including code and numerical examples
  • Describes all the variational concepts required to solve scientific and engineering problems using meshfree methods such as Nitsche's method and the Lagrange multiplier method
  • Includes comprehensive reviews of essential boundary condition enforcement, quadrature in meshfree methods, and nonlinear aspects of meshfree analysis
  • Discusses other Galerkin meshfree methods, strong form meshfree methods, and their comparisons

Meshfree and Particle Methods: Fundamentals and Applications is the perfect introduction to meshfree methods for upper-level students in advanced numerical analysis courses, and is an invaluable reference for professionals in mechanical, aerospace, civil, and structural engineering, and related fields, who want to understand and apply these concepts directly, or effectively use commercial and other production meshfree and particle codes in their work.

商品描述(中文翻譯)

提供對該領域基本概念和最先進發展的全面覆蓋

無網格與粒子方法是首本將無網格方法的基本理論和應用的全面、最新資訊與實際編碼實現的系統指導相結合的書籍。這本獨特的著作範圍廣泛，內容豐富，為讀者提供了使用無網格計算技術在幾乎所有科學和工程領域進行研究和解決挑戰性問題所需的知識。

作者詳細描述了無網格方法中的基本問題，以及針對這些問題的具體技術，同時討論了廣泛的主題和使用案例。主題包括無網格方法中的近似、非線性無網格方法、基本邊界條件的強制執行、無網格方法中的數值積分、強形式配點方法等。在整本書中，主題與計算機實現的描述相結合，並提供開源代碼（為用戶設置專門章節），以說明文本中討論的公式與其現實世界實現和應用之間的聯繫。這本權威資源：


  • 解釋無網格方法的基本原理、其構造及其與傳統方法相比的獨特能力

  • 介紹開源無網格代碼RKPM2D的概述，包括代碼和數值示例

  • 描述使用無網格方法解決科學和工程問題所需的所有變分概念，如Nitsche方法和拉格朗日乘子法

  • 包括對基本邊界條件強制執行、無網格方法中的數值積分和無網格分析的非線性方面的全面回顧

  • 討論其他Galerkin無網格方法、強形式無網格方法及其比較

無網格與粒子方法：基本原理與應用是高年級學生在高級數值分析課程中學習無網格方法的完美入門書籍，對於機械、航空、土木和結構工程及相關領域的專業人士來說，這是一本無價的參考資料，幫助他們直接理解和應用這些概念，或在工作中有效使用商業和其他生產的無網格及粒子代碼。

作者簡介

Ted Belytschko, the former Walter P Murphy and McCormick Institute Professor of Northwestern University, is one of the world's most renowned researchers in computational mechanics and meshfree methods. He is the originator of the Element-Free Galerkin (EFG) Methods, and his paper Element-Free Galerkin Methods published in 1994 remains the most widely cited paper on the subject.

J. S. Chen is Distinguished Professor and William Prager Chair Professor in the Department of Structural Engineering & Department of Mechanical and Aerospace Engineering at The University of California, San Diego. His research interests are in computational solid mechanics and multiscale materials modeling, with focus on meshfree methods and advanced finite element methods.

Michael Hillman a Principal Scientist at Karagozian and Case Inc., and the former L. Robert and Mary L. Kimball Professor and Associate Professor of Civil Engineering at The Pennsylvania State University. His research interests are in computational solid mechanics, fundamental advancement of meshfree methods, and enhanced and novel meshfree methods.

作者簡介(中文翻譯)

Ted Belytschko，前任西北大學的Walter P Murphy及McCormick Institute教授，是計算力學和無網格方法領域中最著名的研究者之一。他是無網格Galerkin（Element-Free Galerkin, EFG）方法的創始人，他於1994年發表的論文Element-Free Galerkin Methods至今仍是該主題中被引用最多的論文。

J. S. Chen是加州大學聖地牙哥分校結構工程系及機械與航空工程系的傑出教授及William Prager講座教授。他的研究興趣包括計算固體力學和多尺度材料建模，專注於無網格方法和先進有限元素方法。

Michael Hillman是Karagozian and Case Inc.的首席科學家，曾任賓夕法尼亞州立大學土木工程系的L. Robert和Mary L. Kimball教授及副教授。 他的研究興趣包括計算固體力學、無網格方法的基本進展，以及增強和新穎的無網格方法。

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