V Domínguez, SL Lu, FJ Sayas - Computers & Mathematics with …, 2014 - Elsevier
In this paper we present and test a full discretization of all elements of the Calderón Calculus (layer potentials and integral operators) for the Helmholtz equation in smooth closed curves …
In this paper we present a full discretization of the layer potentials and boundary integral operators for the elastic wave equation on a parametrizable smooth closed curve in the …
In this paper, we present a fully discretized Calder\'{o} n Calculus for the two dimensional Helmholtz equation. This full discretization can be understood as highly non-conforming …
ML Rapún, FJ Sayas - Archives of Computational Methods in Engineering, 2007 - Springer
In this paper we survey computational techniques based on boundary integral formulations for the simulation of thermal waves. Time-harmonic solutions to diffusion problems appear in …
V Domínguez, ML Rapún, FJ Sayas - Advances in Computational …, 2008 - Springer
In this paper we use a boundary integral method with single layer potentials to solve a class of Helmholtz transmission problems in the plane. We propose and analyze a novel and very …
V Domı́nguez - Journal of computational and applied mathematics, 2003 - Elsevier
This paper is devoted to the solution of the Dirichlet problem for the Laplace and Helmholtz equation in the complement of a smooth open curve in the plane. The solution is looked for …
V Domínguez, C Turc - Computers & Mathematics with Applications, 2024 - Elsevier
Helmholtz decompositions of the elastic fields open up new avenues for the solution of linear elastic scattering problems via boundary integral equations (BIE)(Dong et …
V Domínguez, FJ Sayas - Applied mathematics and computation, 2006 - Elsevier
In this work, we study the numerical solution of the Dirichlet problem for the Stokes equation by overlapping boundary and finite elements. The domain where we state our problem is the …
In this work we consider the numerical solution of the Laplace's equation in a domain with holes by means of the overlapping of finite and boundary elements. The essence of the …