"Analytic Element Method" (AEM) assembles a broad range of mathematical and computational approaches to solve important problems in engineering and science.
"Analytic Element Method" (AEM) assembles a broad range of mathematical and computational approaches to solve important problems in engineering and science.
Professor David R. Steward is chair of the Department of Civil and Environmental Engineering at North Dakota State University and holds the Walter B. Booth Distinguished Professorship. Dr. Steward teaches courses in groundwater flow, water resources, hydraulics and engineering mathematics. He is licensed as a Professional Engineer (North Dakota and Minnesota) and a Professional Geoscientist (Texas), and is a Fellow of the American Society of Civil Engineers.
Inhaltsangabe
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
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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