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

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,]%YS0n_'_D&r0Finite 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P1VIBL$iA$nn|$h

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+YD%x _Y-oY"?0作  者: Dietrich Braess 著水利图书T{@M'lX-@

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出 版 社:水利图书rb iQ F4z-Y:e

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出版时间: 2007-3-1水利图书v/oe:Wz!Z

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oh f3kJ/z0版  次: 1

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页  数: 365水利图书fq\k"k1f

w.p/h1G!k7Q0印刷时间: 2007-3-1水利图书J5ffD%g+B~

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开  本:水利图书,|C2@X?X,N

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印  次:水利图书0?5}G]o+Cog)A&ag

8|+WN a"@9S!{+KIk0纸  张: 胶版纸

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I S B N : 0521705185水利图书 tAy d4Y(N/QU,|

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,f~Hl`/wS.A0所属分类: 图书 >> 进口原版书 >> 科学与技术 Science & Techology

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AY3?x ~*Q@6dm0内容简介

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This 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.水利图书\0~)Y*yQ C J2d

OZOpqK xC,j0The 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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  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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}I@Np ?u5H'^0  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.

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目录

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Preface to the Third English Edition

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Preface to the First English Edition

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Preface to the German Edition水利图书b0pa3`_J8HV)M|

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Notation水利图书rns:S*oM7oM R

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Chapter I Introduction

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 1. Examples and Classification of PDE's

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R#d0\&e8RIO0 2. The Maximum Principle水利图书3f VW k4H@7oX

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 3. Finite Difference Methods水利图书5V3V{bLMG8]1h%Id

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 4. A Convergence Theory for Difference Methods

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Chapter II Conforming Finite Elements水利图书 aETn:Y2[{!_

|,kR)Or!a O0 1. Sobolev Spaces水利图书 Y9q&V9`^;v*C Fn

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 2. Variational Formulation of Elliptic Boundary-Value Problems of

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 3. The Neumann Boundary-Value Problem. A Trace Theorem

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U)_.^ ZYS%U v*_0 4. The Ritz-Galerkin Method and Some Finite Elements水利图书HG gC`)Z

| cz7] Ol0 5. Some Standard Finite Elements水利图书Cs sT ]!X Y

w6L,Oi;v!\d,F0 6. Approximation Properties水利图书+H|,b.TQ3xj%sD

Tn.R)O*F BA"j%B0 7. Error Bounds for Elliptic Problems of Second Order水利图书|I,`z;Z

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 8. Computational Considerations水利图书RL gV&LKX*ck

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Chapter III Nonconforming and Other Methods

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 1. Abstract Lemmas and a Simple Boundary Approximation水利图书0u]I3v)O

.pcQ0k Q'e0 2. Isoparametric Elements水利图书7T%{UL^M{:c

.H}8S l+Shs6TC-o0 3. Further Tools from Functional Analysis水利图书Q#s^J"[h@

|@*ZFS/o0 4. Saddle Point Problems水利图书D:J1rd*qY

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Chapter IV The Conjugate Gradient Method水利图书B/MqB K

/S-~*||1Tl0Chapter V Multigrid Methods

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9qU,b0[O0Chapter VI Finite Elements in Solind Mechanics

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References水利图书*? oIz1o@@ `#X+M

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Index水利图书gKwz!b7V

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