Introduction to numerical methods for variational problems

• 作者： Langtangen, Hans Petter, author.
• 其他作者：
  • Mardal, Kent-Andre, author.
  • SpringerLink (Online service)
• 其他題名：
  • Texts in computational science and engineering ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Texts in computational science and engineering,21
• 主題： Variational inequalities (Mathematics) , Finite element method. , Computational Mathematics and Numerical Analysis.
• ISBN： 9783030237882 (electronic bk.) 、 9783030237875 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Preface -- Quick overview of the finite element method -- Function approximation by global functions -- Function approximation by finite elements -- Variational formulations with global elements -- Variational formulations with finite elements -- Time-dependent variational forms -- Variational forms for systems of PDEs -- Nonlinear Problems -- Variational forms for linear systems -- Useful formulas.
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• 摘要註: This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.
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