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The boundary-domain integral method for elliptic systems / Andreas Pomp.

By: Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1683.Publication details: Berlin ; New York : Springer, ©1998.Description: 1 online resource (xvi, 163 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540696971
  • 3540696970
Subject(s): Additional physical formats: Print version:: Boundary-domain integral method for elliptic systems.DDC classification:
  • 624.1/7762/015118 21
LOC classification:
  • QA3 .L28 no. 1683 TA660.S5
Online resources:
Contents:
The General Theory for Elliptic Systems of Partial Differential Equations: Pseudohomogeneous Distributions -- Levi Functions for Elliptic Systems of Partial Differential Equations -- Systems of Integral Equations Generated by Levi Functions -- Applications to the Shell Modell of Donnell-Vlasov-Type: The Differential Equations of the DV Model -- Levi Functions for the Shell Equations -- The System of Integral Equations and its Numerical Solution -- An Example: Katenoid Shell Under Torsion -- References.
Summary: This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.
Holdings
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Includes bibliographical references (pages 157-163) and index.

The General Theory for Elliptic Systems of Partial Differential Equations: Pseudohomogeneous Distributions -- Levi Functions for Elliptic Systems of Partial Differential Equations -- Systems of Integral Equations Generated by Levi Functions -- Applications to the Shell Modell of Donnell-Vlasov-Type: The Differential Equations of the DV Model -- Levi Functions for the Shell Equations -- The System of Integral Equations and its Numerical Solution -- An Example: Katenoid Shell Under Torsion -- References.

This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.

Print version record.

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