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Infinite Element Methods
 
A publication of Vieweg+Teubner
Front Cover for Infinite Element Methods
Available Formats:
Hardcover ISBN: 978-3-528-06610-9
Product Code: VW/6
209 pp 
List Price: $62.00
AMS Member Price: $55.80
Front Cover for Infinite Element Methods
Click above image for expanded view
Infinite Element Methods
A publication of Vieweg+Teubner
Available Formats:
Hardcover ISBN:  978-3-528-06610-9
Product Code:  VW/6
209 pp 
List Price: $62.00
AMS Member Price: $55.80
  • Book Details
     
     
    Vieweg Monographs
    Volume: 61995
    MSC: Primary 65;

    “As its name indicates, in the infinite element method the underlying domain is divided into infinitely many pieces. This leads to a system of infinitely many equations for infinitely many unknowns; but these can be reduced by analytical techniques to a finite system when some sort of scaling is present in the original problem. The simplest illustrative example, described carefully at the beginning of the first chapter of the book, is the solution of the Dirichlet problem in the exterior of some polygon. The exterior is subdivided into annular regions by a sequence of geometrically expanding images of the given polygon; these annuli are then further subdivided. The resulting variational equations take the form of a block tridiagonal Toeplitz matrix, with an inhomogeneous term in the zero component. Various efficient methods are described for solving such systems of equations … The infinite element method is, wherever applicable, an elegant and efficient approach to solving problems in physics and engineering. Professor Ying's welcome book makes it available to the community of numerical analysts and computational scientists.”

    from the Preface by Peter D. Lax

    Readership

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Volume: 61995
MSC: Primary 65;

“As its name indicates, in the infinite element method the underlying domain is divided into infinitely many pieces. This leads to a system of infinitely many equations for infinitely many unknowns; but these can be reduced by analytical techniques to a finite system when some sort of scaling is present in the original problem. The simplest illustrative example, described carefully at the beginning of the first chapter of the book, is the solution of the Dirichlet problem in the exterior of some polygon. The exterior is subdivided into annular regions by a sequence of geometrically expanding images of the given polygon; these annuli are then further subdivided. The resulting variational equations take the form of a block tridiagonal Toeplitz matrix, with an inhomogeneous term in the zero component. Various efficient methods are described for solving such systems of equations … The infinite element method is, wherever applicable, an elegant and efficient approach to solving problems in physics and engineering. Professor Ying's welcome book makes it available to the community of numerical analysts and computational scientists.”

from the Preface by Peter D. Lax

Readership

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