Boundary integral method for thermoelastic screen scattering problem in R-3

We investigate a three-dimensional mathematical thermoelastic scattering pr oblem from an open surface which will be referred to as a screen. Under the assumption of the local finite energy of the unified thermoelastic scatter ed field, we give a weak model on the appropriate Sobolev spaces and derive equivalent integral equations of the first kind for the jump of some trace operators on the open surface. Uniqueness and existence theorems are prove d, the regularity and the singular behaviour of the solution near the edge are established with the help of the Wiener-Hopf method in the halfspace, t he calculus of pseudodifferential operators on the basis of the strong elli pticity property and Garding's inequality. An improved Galerkin scheme is p rovided by simulating the singular behaviour of the exact solution at the e dge of the screen. Copyright (C) 2000 John Wiley & Sons, Ltd.