图书简介

Analytic Element Method across Fields of Study; 1 Philosophical Perspective; 2 Studies of Flow and Conduction; 3 Studies of Periodic Waves; 4 Studies of Deformation by Forces; Further Reading; Foundation of the Analytic Element Method; 5 The Analytical Element Method Paradigm; 6 Solving Systems of Equations to Match Boundary Conditions; 7 Consistent Notation for Boundary Value Problems; Further Reading; Analytic Elements from Complex Functions; 8 Point Elements in a Uniform Vector Field; 9 Domains with Circular Boundaries; 10 Ellipse Elements with Continuity Conditions; 11 Slit Element Formulation: Courant’s Sewing Theorem with Circle Elements; 12 Circular Arcs and Joukowsky’s Wing; 13 Complex Vector Fields with Divergence and Curl; 14 Biharmonic Equation and the Kolosov Formulas; Further Reading; Analytic Elements from Separation of Variables; 15 Overview; 16 Separation for One-Dimensional Problems; 17 Separation in Cartesian Coordinates; 18 Separation in Circular-Cylindrical Coordinates; 19 Separation in Spherical Coordinates; 20 Separation in Spheroidal Coordinates; Further Reading; Analytic Elements from Singular Integral Equations; 21 Formulation of Singular Integral Equations; 22 Double Layer Elements; 23 Single Layer Elements; 24 Simpler Far-Field Representation; 25 Polygon Elements; 26 Curvilinear Elements; 27 Three-Dimensional Vector Fields; Further Reading; A List of Symbols; B Solutions to Selected Problem Sets; References; Index

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