Meshfree Methods for Partial Differential Equations VII (Lecture Notes in Computational Science and Engineering)
暫譯: 無網格方法於偏微分方程 VII(計算科學與工程講義)

  • 出版商: Springer
  • 出版日期: 2014-12-15
  • 售價: $4,510
  • 貴賓價: 9.5$4,285
  • 語言: 英文
  • 頁數: 324
  • 裝訂: Hardcover
  • ISBN: 3319068970
  • ISBN-13: 9783319068978
  • 海外代購書籍(需單獨結帳)

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商品描述

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.

商品描述(中文翻譯)

網格自由方法、粒子方法和廣義有限元素方法自1990年代中期以來已經經歷了顯著的發展。對這些方法日益增長的興趣部分源於它們作為極具靈活性的數值工具,並且可以以多種方式進行解釋。例如,網格自由方法可以被視為經典有限元素法和有限差分法在無固定連接的散佈節點配置上的自然擴展。此外,網格自由方法提供了許多優勢特徵,這些特徵在處理多尺度現象時尤其具有吸引力:對於解的特定局部行為的a priori知識可以輕鬆地引入到網格自由近似空間中,並且粗尺度近似可以與細尺度信息無縫地進行細化。本卷收集了在2013年9月於德國波恩舉行的第七屆國際網格自由方法研討會上發表的選定論文。這些論文涉及這一高度動態研究領域的各個方面,涵蓋了應用數學、物理學和工程學的主題。