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Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics 有限元:在

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.gx"Cp-K F1}0Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics 有限元:在固体力学中的理论、快速解决和应用水利图书2U&K.UXJ,@8N'Uh\

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作  者: Dietrich Braess 著水利图书(I*wHo!|&aMZ+m

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出 版 社:水利图书l4[ Jg7}8zk

DK sHu{2O0出版时间: 2007-3-1

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字  数:水利图书N"PV2o P7Y

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版  次: 1水利图书tO.Q;z6x7pp,}

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页  数: 365

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!v+k/{b3qu%D0印刷时间: 2007-3-1水利图书BE b~,M z W

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印  次:

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I S B N : 0521705185水利图书 apC+| ]g

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包  装: 平装水利图书8G!^Q$Af HseA

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所属分类: 图书 >> 进口原版书 >> 科学与技术 Science & Techology

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内容简介

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oMwv }.E3r8eF0This definitive introduction to finite element methods has been thoroughly updated for a third edition which features important new material for both research and application of the finite element method.

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The discussion of saddle-point problems is a highlight of the book and has been elaborated to include many more nonstandard applications. The chapter on applications in elasticity now contains a complete discussion of locking phenomena.

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3Ejo%S1V h0  The numerical solution of elliptic partial differential equations is an important application of finite elements and the author discusses this subject comprehensively. These equations are treated as variational problems for which the Sobolev spaces are the right framework.

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  Graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite element methods will find this text invaluable. Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering.水利图书k&d N%R R P~4T+r

5l I8q[!E:yh"G0目录

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Preface to the Third English Edition水利图书2SEp:j)B&?G

~+zAyc0Preface to the First English Edition

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6N(_Bg/r8x^I)du0Preface to the German Edition

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;wQ#pd,[/a1hiq0Notation

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UJ%oza5G$m\e0Chapter I Introduction

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 1. Examples and Classification of PDE's

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#M;s8}5I/P0 2. The Maximum Principle水利图书7V\3|r"`*YeR

/l0m)An6W2Bz*R0 3. Finite Difference Methods

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5AY Gn1lF0 4. A Convergence Theory for Difference Methods水利图书PPici.w0A4V

4G7gs*]/L]+wW*aN^0Chapter II Conforming Finite Elements

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 1. Sobolev Spaces水利图书SO [*Y U

`3Ocgy2og0 2. Variational Formulation of Elliptic Boundary-Value Problems of水利图书 P,pzz5C

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 3. The Neumann Boundary-Value Problem. A Trace Theorem水利图书3w(F LwM rW

(H8M;U}#Q&r0 4. The Ritz-Galerkin Method and Some Finite Elements水利图书 P\!eI%t.h;p#T

EsHn!L%di]3?0 5. Some Standard Finite Elements

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 6. Approximation Properties

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 7. Error Bounds for Elliptic Problems of Second Order水利图书b?qaPR/`%[ EF0\

a.dRe8zg5},^ V0 8. Computational Considerations水利图书1T#n|4j%{.g/Y%vT*?

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Chapter III Nonconforming and Other Methods水利图书@z$Y o?

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 1. Abstract Lemmas and a Simple Boundary Approximation水利图书 Ns!F_*V"O$Szk

:o+B7o w&W6M(m\w0 2. Isoparametric Elements

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 3. Further Tools from Functional Analysis

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#O"D I Jn1v/xE,O f0 4. Saddle Point Problems水利图书I {2W6ut

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Chapter IV The Conjugate Gradient Method水利图书$vY P2iD

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Chapter V Multigrid Methods水利图书"Em-DNV9X

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Chapter VI Finite Elements in Solind Mechanics水利图书Y8_9[^Lx-v q G

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References水利图书di_&]-s*V

?zmH&M`8x0Index水利图书3n&Mraf*dQj%Ks

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