Willkommen, schön sind Sie da!
Logo Ex Libris

Numerical Solution of Elliptic Differential Equations by Reduction to the Interface

  • Kartonierter Einband
  • 312 Seiten
(0) Erste Bewertung abgeben
Bewertungen
(0)
(0)
(0)
(0)
(0)
Alle Bewertungen ansehen
During the last decade essential progress has been achieved in the analysis and implementation of multilevel/rnultigrid and domain... Weiterlesen
CHF 165.00
Print on Demand - Auslieferung erfolgt in der Regel innert 4 bis 6 Wochen.
Bestellung & Lieferung in eine Filiale möglich

Beschreibung

During the last decade essential progress has been achieved in the analysis and implementation of multilevel/rnultigrid and domain decomposition methods to explore a variety of real world applications. An important trend in mod ern numerical simulations is the quick improvement of computer technology that leads to the well known paradigm (see, e. g. , [78,179]): high-performance computers make it indispensable to use numerical methods of almost linear complexity in the problem size N, to maintain an adequate scaling between the computing time and improved computer facilities as N increases. In the h-version of the finite element method (FEM), the multigrid iteration real izes an O(N) solver for elliptic differential equations in a domain n c IRd d with N = O(h- ) , where h is the mesh parameter. In the boundary ele ment method (BEM) , the traditional panel clustering, fast multi-pole and wavelet based methods as well as the modern hierarchical matrix techniques are known to provide the data-sparse approximations to the arising fully populated stiffness matrices with almost linear cost O(Nr log?Nr), where 1 d Nr = O(h - ) is the number of degrees of freedom associated with the boundary. The aim of this book is to introduce a wider audience to the use of a new class of efficient numerical methods of almost linear complexity for solving elliptic partial differential equations (PDEs) based on their reduction to the interface.

Inhalt
1. Finite Element Method for Elliptic PDEs.- 2. Elliptic Poincaré-Steklov Operators.- 3. Iterative Substructuring Methods.- 4. Multilevel Methods.- 5. Robust Preconditioners for Equations with Jumping Anisotropic Coefficients.- 6. Frequency Filtering Techniques.- 7. Data-sparse Approximation to the Schur Complement for Laplacian.- 8. Discrete Poincaré-Steklov Mappings for Biharmonic and Lamé Equations.- 9. Interface Reduction for the Stokes Equation.- References.

Produktinformationen

Titel: Numerical Solution of Elliptic Differential Equations by Reduction to the Interface
Autor:
EAN: 9783540204060
ISBN: 3540204067
Format: Kartonierter Einband
Herausgeber: Springer Berlin Heidelberg
Genre: Mathematik
Anzahl Seiten: 312
Gewicht: 476g
Größe: H235mm x B155mm x T16mm
Jahr: 2004
Auflage: Softcover reprint of the original 1st ed. 2004

Weitere Produkte aus der Reihe "Lecture Notes in Computational Science and Engineering"