The Boundary-Domain Integral Method for Elliptic Systems
Pomp, Andreas.
The Boundary-Domain Integral Method for Elliptic Systems [electronic resource] / by Andreas Pomp. - XVI, 172 p. online resource. - Lecture Notes in Mathematics, 1683 0075-8434 ; . - Lecture Notes in Mathematics, 1683 .
Pseudohomogeneous distributions -- Levi functions for elliptic systems of partial differential equations -- Systems of integral equations, generated by Levi functions -- 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.
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.
9783540696971
10.1007/BFb0094576 doi
Numerical analysis.
Differential equations, partial.
Numerical Analysis.
Partial Differential Equations.
QA297-299.4
518
The Boundary-Domain Integral Method for Elliptic Systems [electronic resource] / by Andreas Pomp. - XVI, 172 p. online resource. - Lecture Notes in Mathematics, 1683 0075-8434 ; . - Lecture Notes in Mathematics, 1683 .
Pseudohomogeneous distributions -- Levi functions for elliptic systems of partial differential equations -- Systems of integral equations, generated by Levi functions -- 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.
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.
9783540696971
10.1007/BFb0094576 doi
Numerical analysis.
Differential equations, partial.
Numerical Analysis.
Partial Differential Equations.
QA297-299.4
518