Analytic Element Method

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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