Convergence analysis of a high-order Nyström integral-equation method for surface scattering problems

OP Bruno, V Domínguez, FJ Sayas - Numerische Mathematik, 2013 - Springer
In this paper we present a convergence analysis for the Nyström method proposed in J
Comput Phys 169 (1): 80–110, 2001 for the solution of the combined boundary integral …

[HTML][HTML] A Nyström flavored Calderón calculus of order three for two dimensional waves, time-harmonic and transient

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 …

[HTML][HTML] A fully discrete Calderón calculus for the two-dimensional elastic wave equation

V Domínguez, T Sánchez-Vizuet, FJ Sayas - Computers & Mathematics …, 2015 - Elsevier
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 …

A fully discrete Calderón calculus for two dimensional time harmonic waves

V Dominguez, SL Lu, FJ Sayas - arXiv preprint arXiv:1210.7017, 2012 - arxiv.org
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 …

Boundary element simulation of thermal waves

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 …

Dirac delta methods for Helmholtz transmission problems

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 …

[HTML][HTML] High-order collocation and quadrature methods for some logarithmic kernel integral equations on open arcs

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 …

Robust boundary integral equations for the solution of elastic scattering problems via Helmholtz decompositions

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 …

A BEM–FEM overlapping algorithm for the Stokes equation

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 …

Overlapped BEM-FEM and some Schwarz iterations

R Celorrio, V Dominguez, FJ Sayas - Computational Methods in …, 2004 - degruyter.com
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 …