| Preface Chapter I.General Principle of the Natural Boundary Integral Method 1.1 Introduction 1.2 Boundary Reductions and Boundary Element Methods 1.3 Basic Idea of the Natural Boundary Reduction 1.4 Nurnerical Computation of Hypersingular Integrals 1.5 Convergence and Error Estimates for the Natural Boundary 1.6 On Computation of Poisson Integral Formulas ChapterII.Boundary Value Problem for the Harmonic Equation 2.1 Introduction 2.2 Representation of a Solution by Complex Variable Functions 2.3 Principle of the Natural Boundary Reduction 2.4 Natural Integral Equations and Poisson Integral Formulas for Some Typical Domains 2.5 Natural Boundary Reduction for General Simply Connected Domains 2.6 Natural Integral Operators and Their Inverse Operators 2.7 Direct Study of Natural Integral Equations 2.8 Numerical Solution of Natural Integral Equations 2.9 Numerical Solution of the Natural Integral Equation over a Sector with Crack or Concave Angle ChapterIII.Boundary Value Problem of the Biharmonic Equation 3.1 Introduction 3.2 Representation of a Solution by Complex Variable Functions 3.3 Principle of the Natural Boundary Reduction 3.4 Natural Integral Equations and Poisson Integral Formulas for Some Typical Domains 3.5 Natural Integral Operatiors and Their Inverse Operators 3.6 Direct Study of Natural Integral Equations 3.7 Numerical Solution of Natural Integral Equations 3.8 Boundary Value Problems of Multi-Harmonic Equatioons ChapterIV.Plane Elasticity Problem 4.1 Introduction …… ChapterV.Stokes Problem ChapterVI.The Coupling of Natural Boundary Elements and Finite Elements ChapterVII.Domain Decomposition Methods Based On Natural Boundary Reduction References Index |
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