Time-dependent problems, that are frequently modelled by hyperbolic partial differential equations, can be dealt with the boundary integral equations (BIEs) method. The ideal situation is when the partial differential equation is homogeneous with constant coefficients, the initial conditions vanish and the data are given only on the boundary of a domain independent of time. In this situation the transformation of the differential problem to a BIE follows the same well-known method for elliptic boundary value problems. In fact the starting point for a BIE method is the representation of the differential problem solution in terms of single layer and double layer potentials using the fundamental solution of the hyperbolic partial differential operator.

Wave propagation analysis with boundary element method / C. Guardasoni. - Milano : Ledizioni LediPublishing, 2010. - ISBN 9788895994154. (Mathematical sciences)

Wave propagation analysis with boundary element method

C. Guardasoni
2010

Abstract

Time-dependent problems, that are frequently modelled by hyperbolic partial differential equations, can be dealt with the boundary integral equations (BIEs) method. The ideal situation is when the partial differential equation is homogeneous with constant coefficients, the initial conditions vanish and the data are given only on the boundary of a domain independent of time. In this situation the transformation of the differential problem to a BIE follows the same well-known method for elliptic boundary value problems. In fact the starting point for a BIE method is the representation of the differential problem solution in terms of single layer and double layer potentials using the fundamental solution of the hyperbolic partial differential operator.
Settore MAT/08 - Analisi Numerica
Wave propagation analysis with boundary element method / C. Guardasoni. - Milano : Ledizioni LediPublishing, 2010. - ISBN 9788895994154. (Mathematical sciences)
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/148419
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