关注微信

推荐商品

    加载中... 正在为您读取数据...
分享到:
  • 人工边界方法(英文)[精装]
  • 共3个商家     88.20元~103.20
  • 作者:韩厚德(作者),巫孝南(作者)
  • 出版社:清华大学出版社;第1版(2012年12月1日)
  • 出版时间:
  • 版次 :
  • 印刷时间:
  • 包装:
  • ISBN:9787302303909

  • 商家报价
  • 简介
  • 评价
  • 加载中... 正在为您读取数据...
  • 商品描述

    编辑推荐

    《人工边界方法(英文)》可以作为科学与工程计算专业研究生课程的教材,亦可以作为科学与工程计算专业科学技术人员的参考书。

    目录

    Introduction
    References
    Chapter 1 Global ABCs for Second Order Elliptic Equations
    1.1 Exterior Problem of Second Order Elliptic Equations
    1.2 Global ABCs for the Exterior Problem of 2—D
    Poisson Equation
    1.2.1 Steklov—Poincaré Mapping for the Exterior Problem
    of Laplace Equation
    1.2.2 The Reduced Boundary Value Problem on Ω
    1.2.3 Finite Element Approximation of the Reduced
    Boundary Value Problem(1.2.30)~(1.2.32)
    1.3 Global ABCs for the Exterior Problems of 3—D Poisson Equation
    1.3.1 Exact and Approximate ABCs on the Spherical
    Artificial Boundary ΓE
    1.3.2 Equivalent and Approximate Boundary Value Problems on the Bounded Computational Domain Ω
    1.3.3 Finite Element Approximation of the Variational Problem(1.3.30)
    1.4 Exterior Problem of the Modified Helmholtz Equation
    1.4.1 Global Boundary Condition of the Exterior Problem
    for the 2—D Modified Helmholtz Equation
    1.4.2 The Reduced Boundary Value Problem on the Computational Domain Ω
    1.4.3 Finite Element Approximation of the Reduced Boundary Value Problem
    1.4.4 Global Boundary Condition of the Exterior Problem for the 3—D Modified Helmholtz Equation
    1.5 Global ABCs for the Exterior Problems of the
    Helmholtz Equation
    1.5.1 Dirichlet to Sommerfeld Mapping of the Exterior Problem of the 2—D Helmholtz Equation
    1.5.2 Dirichlet to Sommerfeld Mapping of the Exterior Problem of the 3—D Helmholtz Equation
    References
    Chapter 2 Global ABCs for the Navier System and Stokes System
    2.1 Navier System and Stokes System
    2.2 The Exterior Problem of the 2—D Navier System
    2.2.1 The Global Boundary Condition on the
    Artificial Boundary ΓR
    2.2.2 The Reduced Problem on the Bounded Domain
    2.2.3 The Finite Element Approximation for the Reduced Problem(2.2.59)
    2.3 Exterior Problem of the 2—D Stokes System
    2.3.1 Highly Accurate Approximate Artificial Boundary Condition
    2.3.2 Finite Element Approximation on the Computational Domain Ωi for the Reduced Problem
    2.4 Vector Fields on the Spherical Surface
    2.5 Global ABCs for the Exterior Problem of 3—D Navier System
    2.5.1 Highly Accurate Approximate ABCs
    2.5.2 Finite Element Approximation of the Variational Problem on the Bounded Computational Domain Ω
    References
    Chapter 3 Global ABCs for Heat and Schrodinger Equations
    3.1 Heat Equations on Unbounded Domains
    3.2 1—D Heat Equations on Unbounded Domains
    3.2.1 Exact Boundary Conditions on the Artificial Boundary ∑0
    3.2.2 Finite Diffcrence Approximation for the Reduced Problem(3.2.7)—(3.2.10)
    3.2.3 Stability Analysis of Scheme(3.2.29)~(3.2.33)
    3.3 Global Boundary Conditions for Exterior Problems of 2—D Heat Equations
    3.3.1 Exact and Approximate Conditions on the Artificial Boundary ∑R
    3.3.2 Finite Difierence Approximation of the Reduced Problem(3.3.37)~(3.3.40)
    3.4 Global Boundary Conditions for Exterior Problems of 3—D Heat Equations
    3.4.1 Exact and Approximate Conditions on the Artificial Boundary ∑R
    3.4.2 Stability Analysis for the Reduced Initial Boundary Value Problem
    3.4.3 The Finite Element Approximation for the Reduced
    Initial Boundary Value Problem(3.4.38)—(3.4.41)
    3.5 Schr6dinger Equation on Unbounded Domains
    3.6 1—D Schrodinger Equation on Unbounded Domains
    3.6.1 The Reduced Initial Value Problem and its Finite Difference Approximation
    3.6.2 Stability and Convergence Analysis of Scheme (3.6.19)—(3.6.22)
    3.7 The Global Boundary Condition for the Exterior Problem of the 2—D Linear Schr6dinger Equation
    3.7.1 Exact and Approximate Boundary Conditions
    on the Artificial Boundary ΣR
    3.7.2 Stability Analysis of the Reduced Approximate Initial Boundary Value Problem
    3.8 The Global Boundary Condition for the Exterior Problem of the 3—D Linear Schrodinger Equation
    3.8.1 Exact and Approximate Boundary Conditions on the Artificial Boundary ΣR
    3.8.2 Stability Analysis of the Reduced Approximate Initial Boundary Value Problem
    References
    Chapter 4 ABCs for Wave Equation,Klein—Gordon Equation,and Linear KdV Equations
    4.1 1—D Wave Equation
    4.1.1 Transparent Boundary Conditions on the
    Artificial Boundaries Σ1 and Σ0
    4。2 2—D Wave Equation
    4.2.1 Absorbing Boundary Conditions
    4.2.2 The Initial Boundary Velue Problem on the Bounded Computational Domain D
    4.3 3—D Wave Equation
    4.3.1 Absorbing Boundary Condition on the Artificial Boundary ΣR
    4.3.2 The Equivalent and Approximate Initial Boundary Value Problem on the Bounded Computational Domain Di
    4.4 1—D Klein—Gordon Equation
    4.4.1 Absorbing Boundary Conditions on the Artificial
    Boundary Σ1,Σ0
    4.4.2 The Initial Boundary Value Problem on the Bounded Computational Domain Di
    4.5 2—and 3—D Klein—Gordon Equations
    4.5.1 Absorbing Boundary Conditions on the Artificial Boundary ΣR(2—D case)
    4.5.2 Absorbing Boundary Conditions on the Artificial Boundary ΣR(3—D case)
    4.5.3 The Initial Boundary Value Problem on the Bounded Computational Domain Di
    4.6 Linear KdV Equation
    4.6.1 Absorbing Boundary Condition on the Artificial
    Boundaries Σa and Σb
    4.6.2 The Equivalent Initial Boundary Value Problem on the Bounded Computational Domain
    4.7 Appendix:Three Integration Formulas
    References
    Chapter 5 Local Artificial Boundary Conditions
    5.1 Local Boundary Conditions for Exterior Problems of the 2—D Poisson Equation
    5.1.1 Local Boundary Condition on the Artificial
    Bboundary ΓR
    5.1.2 Finite Element Approximation Using the Local Boundary Condition and its Error Estimate
    5.2 Local Boundary Conditions for the 3—D Poisson Equation
    5.2.1 The Local Boundary Condition on the Artificial
    Boundary ΓR for Problem(Ⅰ)
    5.2.2 Local Boundary Conditions on the Artificial Boundary ΓR for Problem(Ⅱ)
    5.3 Local ABCs for Wave Equations on Unbounded Domains
    References
    Chapter 6 Discrete Artificial Boundary Conditions
    6.1 Boundary Condition on a Polygon Boundary for the 2—D
    Poisson Equation—The Method of Lines
    6.1.1 Discrete Boundary Conditions on Polygonal
    Boundaries
    6.1.2 Numerical Approximation of the Exterior Problem
    (6.1.1)~(6.1.3)
    6.2 2—D Viscous Incompressible Flow in a Channel—Infinite Difference Method
    6.2.1 2—D Viscous Incompressible Flow in a Channel
    6.2.2 Discrete ABCs
    6.3 Numerical Simulation of Infinite Elastic Foundation—Infinit Element Method
    ……
    Chapter 7 Implicit Artificial Boundary Conditions
    Chapter 8 Nonlinear Artificial Boundary Conditions
    Chapter 9 Applications to Problems with Singularity
    Bibliography

    文摘

    版权页:



    插图: