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Analytic Element Method: Complex Interactions of Boundaries and Interfaces

David R. Steward

Published in print:
2020
Published Online:
November 2020
ISBN:
9780198856788
eISBN:
9780191890031
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198856788.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The Analytic Element Method provides a foundation to solve boundary value problems commonly encountered in engineering and science. The goals are: to introduce readers to the basic principles of the ... More


Foundation of the Analytic Element Method

David R. Steward

in Analytic Element Method: Complex Interactions of Boundaries and Interfaces

Published in print:
2020
Published Online:
November 2020
ISBN:
9780198856788
eISBN:
9780191890031
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198856788.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The Analytic Element Method provides a foundation to solve boundary value problems commonly encountered in engineering and science, where problems are structured around elements to organize ... More


Analytic Elements from Complex Functions

David R. Steward

in Analytic Element Method: Complex Interactions of Boundaries and Interfaces

Published in print:
2020
Published Online:
November 2020
ISBN:
9780198856788
eISBN:
9780191890031
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198856788.003.0003
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The mathematical functions associated with analytic elements may be formulated using a complex function $\Omega$ of a complex variable ${\zcomplex}$. Complex formulation of analytic elements is ... More


Analytic Elements from Separation of Variables

David R. Steward

in Analytic Element Method: Complex Interactions of Boundaries and Interfaces

Published in print:
2020
Published Online:
November 2020
ISBN:
9780198856788
eISBN:
9780191890031
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198856788.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Separation of variables provides influence functions for analytic elements, which extend the solutions available with complex functions to problems involving the Helmholtz and modified Helmholtz ... More


Analytic Elements from Singular Integral Equations

David R. Steward

in Analytic Element Method: Complex Interactions of Boundaries and Interfaces

Published in print:
2020
Published Online:
November 2020
ISBN:
9780198856788
eISBN:
9780191890031
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198856788.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Solutions to interface problems may be developed using analytic elements with mathematical solutions to the Laplace equation developed by singular integral equations. This formulation leads to ... More


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