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math.AP2011
Some properties of layer potentials and boundary integral operators for the wave equation
Victor Dominguez, Francisco-Javier Sayas
In this work we establish some new estimates for layer potentials of the acoustic wave equation in the time domain, and for their associated retarded integral operators. These esti…
math.NA2011
Convergence analysis of a high-order Nystrom integral-equation method for surface scattering problems
Oscar P. Bruno, Victor Dominguez, Francisco-Javier Sayas
In this paper we present a convergence analysis for the Nystrom method proposed in [Jour. Comput. Phys. 169 pp. 2921-2934, 2001] for the solution of the combined boundary integral…