The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

In Chapter 1 we presented basic ideas for the reduction of boundary value problems of the
Laplacian to various forms of boundary integral equations based on the direct approach …

This book presents a unified theory of the Finite Element Method and the Boundary Element
Method for a numerical solution of second order elliptic boundary value problems. This …

Advanced Computational Vibroacoustics presents an advanced computational method for
the prediction of sound and structural vibrations, in low-and medium-frequency ranges …

Isogeometric analysis with the boundary element method (IGABEM) has recently gained
interest. In this paper, the approximability of IGABEM on 3D acoustic scattering problems will …

We present a new numerical approach to solve 2D exterior Helmholtz problems defined in
unbounded domains. This consists in reducing the infinite region to a finite computational …

The perfectly matched layer (PML) formulation is a prominent way of handling radiation
problems in unbounded domain and has gained interest due to its simple implementation in …

This paper presents an advanced computational method for the prediction of the responses
in the frequency domain of general linear dissipative structural-acoustic and fluid-structure …

Within the framework of the state-of-the-art, this paper presents a summary of some common
research works carried out by the authors concerning computational methods for the …

Isogeometric analysis (IGA) has proven to be an improvement on the classical finite element
method (FEM) in several fields, including structural mechanics and fluid dynamics. In this …