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有限元概率算法及其高精度分析【2025|PDF下载-Epub版本|mobi电子书|kindle百度云盘下载】

彭龙著著
出版社：北京：机械工业出版社
ISBN：7111193857
出版时间：2006
标注页数：90页
文件大小：5MB
文件页数：102页
主题词：有限元法－概率－算法

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图书目录

Chapter 1 Introduction1

Chapter 2 Brief Introduction of Markov Chain and Nonnegative Matrices6

Chapter 3 The Methods of Solving Elliptic Boundary Value Problem12

3.1 Elliptic Boundary Value Prollem and Limit Transfer Matrix Q∞12

3.2 Method of Solving Nonhomogeneous Elliptic Boundary Value Problem15

3.3 Solving Parabolic Problem17

3.4 Monte-Carlo Method of Computing Q∞ and S∞19

3.5 Methods of Fast Approximate to limit Matrices Q∞ and S∞22

3.6 Under the Case That P Is Not Nonnegative Matrix24

3.7 Iterative Method for Finite Element Probability Computing26

Chapter 4 The Finite Element Probability Computing Method28

Chapter 5 High Accuracy Methods of Finite Element Probability Computing Method35

5.1 The Probability Multigrid Method35

5.2 The Boundary Thickening Method41

5.3 Numerical Experiment42

Chapter 6 Rectangular Finite Element Probability Computing Method45

6.1 Introduction 45

6.2 Probability Computing Model and Its Convergence Conditions 46

6.3 Numerical Experiment50

Chapter 7 Dimentional Independence52

Chapter 8 The Fast Computing Scheme of the Finite Element Method for the Two Point Boundary Problem 57

8.1 Model Problem and P'k-type Finite Element Space57

8.2 The Probability Computing Scheme62

8.3 Numerical Experiment65

Chapter 9 Example Analysis67

9.1 The Monte-Carlo Method for Three-dimensional Problems 67

9.2 The Finite Element Monte-Carlo Method of Plate Problems 69

Chapter 10 The Space Decomposition Method of the Finite Element 75

10.1 Abstract Problem 75

10.2 The Domain Decomposition Method and the Structure of Space ？081

10.3 Example 83

10.4 Probability Computing Method85

References87