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Finite elements有限元,第3版:理论、快速解法及在固体力学中的应用

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#L:R6tQd-p%yh$?f(O0作  者: Dietrich Braess 著

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I*{ I$u7a a4C`}K!L0出 版 社:

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出版时间: 2007-4-1

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x,e ]3h2rb0版  次: 1

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#o[2|V)f w0页  数: 365

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印刷时间: 2007-4-1

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开  本: 大32开水利图书7a;h7KjC\%@t

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印  次: 1水利图书E1h/[ a2F-e

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纸  张: 胶版纸

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jPY ik0I S B N : 9780521705189水利图书0olf3SRuE

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2N)e2s Ur2U.W2q0所属分类: 图书 >> 进口原版书 >> 科学与技术 Science & Techology水利图书GE%`Ap6Y3x'K

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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. 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. 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. 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'BsLFlk)@

Ogo-U:\(_j0目录水利图书~ IO[#T{gj8X

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Preface to the Third English Edition水利图书 @}{z#tI

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Preface to the First English Edition

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)By x@L\;vH@,K0Preface to the German Edition水利图书1@;T3S!G+^3LGZ?

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Notation水利图书 vP,|!j$n!c6Df]j~

`/yb*Tfy*jT0Chapter 1 Introduction水利图书*@,Wsjw

b+M\Q4|:H01 Examples and Classification of PDE'S水利图书4[&dQ5n%e5I+~3xA

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2 The Maximum Principle水利图书S$V$t.cQ*T

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3 Finite Difference Methods

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4 A Convergence Theory for Difference Methods水利图书2r"K%] TFpKY

1|aL E y$N"\lJ(up0Chapter 2 Conforming Finite Elements水利图书7E:v0J"_!O9V\%T w

'dU2rvk8J)a z9r01 Sobolev Spaces

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%c.\;GG{3e0yK02 Variational Formulation of Elliptic Boundary-Value Problems of Second Order水利图书5P]7V H/tD5L&r

/e}@1r1l*r03 The Neumann Boundary-Value Problem.A Trace Theorem水利图书 Z,KQP9[;z9T9l

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4 The Ritz-Galerkin Method and Some Finite Elements水利图书*SkeA9a;{,V'LLX

@%u8PpOe05 Some Standard Finite Elements水利图书"sX"|p.a6b8?

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6 Approximation Properties水利图书'AssBbb

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7 Error Bounds for Elliptic Problems of Second Order水利图书6[n V6a4F

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8 Computational Considerations水利图书)EE,}3o9}K Bo,rN

.zP9H`qa&Wi0Chapter 3 Nonconforming and Other Methods水利图书;G.I3n!KEog

_0i|7N5E01 Abstract Lemmas and a Simple Boundary Approximation

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?R%f2p-o$EI8?t*S g0f%z02 Isoparametric Elements水利图书X-N)Wlt(v

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3 Further Tools from Functional Analysis水利图书 Z M"vOd!v

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4 Saddle Point Problems水利图书 adp(\ f'Lh1{'Yw

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Chapter 4 The Conjugate Gradient Method水利图书 ]W]%g){)C.{

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Chapter 5 Multigrid Methods

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uuO7W/}1a'M0Chapter 6 Finite Elements in Solid Mechanics水利图书 Q+cogh t

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References

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