Analytic Element Method : Complex interactions of boundaries and interfaces (Book, 2020) [WorldCat.org]
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Analytic Element Method : Complex interactions of boundaries and interfaces

Author: David R Steward
Publisher: Oxford Oxford University Press 2020
Edition/Format:   Print book : English : First editionView all editions and formats
Summary:
"Analytic Element Method" (AEM) assembles a broad range of mathematical and computational approaches to solve important problems in engineering and science. As the subtitle "Complex Interactions of Boundaries and Interfaces" suggests, problems are partitioned into sets of elements and methods are formulated to solve conditions along their boundaries and interfaces. Presentation will place an element within its  Read more...
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Document Type: Book
All Authors / Contributors: David R Steward
ISBN: 9780198856788 0198856784
OCLC Number: 1199064284
Description: xi, 324 Seiten : Illustrationen, Diagramme ; 246 mm
Contents: Analytic Element Method across Fields of Study1: Philosophical Perspective2: Studies of Flow and Conduction3: Studies of Periodic Waves4: Studies of Deformation by ForcesFurther ReadingFoundation of the Analytic Element Method5: The Analytical Element Method Paradigm6: Solving Systems of Equations to Match Boundary Conditions7: Consistent Notation for Boundary Value ProblemsFurther ReadingAnalytic Elements from Complex Functions8: Point Elements in a Uniform Vector Field9: Domains with Circular Boundaries10: Ellipse Elements with Continuity Conditions11: Slit Element Formulation: Courant's Sewing Theorem with Circle Elements12: Circular Arcs and Joukowsky's Wing13: Complex Vector Fields with Divergence and Curl14: Biharmonic Equation and the Kolosov FormulasFurther ReadingAnalytic Elements from Separation of Variables15: Overview16: Separation for One-Dimensional Problems17: Separation in Cartesian Coordinates18: Separation in Circular-Cylindrical Coordinates19: Separation in Spherical Coordinates20: Separation in Spheroidal CoordinatesFurther ReadingAnalytic Elements from Singular Integral Equations21: Formulation of Singular Integral Equations22: Double Layer Elements23: Single Layer Elements24: Simpler Far-Field Representation25: Polygon Elements26: Curvilinear Elements27: Three-Dimensional Vector FieldsFurther ReadingA List of SymbolsB Solutions to Selected Problem SetsReferencesIndex
Responsibility: David R. Steward.

Abstract:

"Analytic Element Method" (AEM) assembles a broad range of mathematical and computational approaches to solve important problems in engineering and science.  Read more...

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Review from previous edition Dr. Steward's book Analytic Element Method: Complex Interactions of Boundaries and Interfaces clearly outlines the mathematical foundations of Analytic Element Method Read more...

 
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