http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
boundary-domain integral method for elliptic systems
1 online resource (xvi, 163 pages) : illustrations.
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.
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.
Includes bibliographical references (pages [157]-163) and index.
Lecture notes in mathematics (Springer-Verlag) ; 1683