Recent advances and emerging applications of the boundary element method

YJ Liu, S Mukherjee… - Applied …, 2011 - asmedigitalcollection.asme.org
Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

Convolution quadrature revisited

C Lubich - BIT Numerical Mathematics, 2004 - Springer
This article reviews convolution quadrature and its uses, extends the known approximation
results for the case of sectorial Laplace transforms to finite-part convolutions with non …

[图书][B] Wave propagation in viscoelastic and poroelastic continua: a boundary element approach

M Schanz - 2012 - books.google.com
Wave propagation is an important topic in engineering sciences, especially, in the field of
solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The …

[PDF][PDF] Time-dependent problems with the boundary integral equation method

M Costabel, FJ Sayas - Encyclopedia of computational …, 2004 - perso.univ-rennes1.fr
Time-dependent problems that are modeled by initial-boundary value problems for
parabolic or hyperbolic partial differential equations can be treated with the boundary …

Rapid solution of the wave equation in unbounded domains

L Banjai, S Sauter - SIAM Journal on Numerical Analysis, 2009 - SIAM
In this paper we propose and analyze a new, fast method for the numerical solution of time
domain boundary integral formulations of the wave equation. We employ Lubich's …

Transient wave propagation in a one-dimensional poroelastic column

M Schanz, AHD Cheng - Acta Mechanica, 2000 - Springer
Biot's theory of porous media governs the wave propagation in a porous, elastic solid
infiltrated with fluid. In this theory, a second compressional wave, known as the slow wave …

The response of a layered half-space to traffic loads moving along its surface

H Grundmann, M Lieb, E Trommer - Archive of Applied Mechanics, 1999 - Springer
The dynamic behaviour of a railway system is influenced by the interaction of its three
subsystems: the vehicles, the rail construction itself and the subsoil. In this paper, the subsoil …

On the BEM for acoustic wave problems

Y Liu - Engineering Analysis with Boundary Elements, 2019 - Elsevier
The progress of the boundary element method (BEM) for solving acoustic wave problems is
reviewed in this paper. The BEM is in a unique position among all the numerical methods …

A comparative study of Biot's theory and the linear theory of porous media for wave propagation problems

M Schanz, S Diebels - Acta mechanica, 2003 - Springer
Wave propagation in porous media is an important topic for example in geomechanics or oil-
industry. Especially due to the interplay of the solid skeleton with the fluid the so-called …

[PDF][PDF] Formulation and numerical treatment of boundary integral equations with hypersingular kernels

M Guiggiani - Singular integrals in boundary element methods, 1998 - researchgate.net
Boundary integral equations with strongly singular and hypersingular kernels can be very
useful in many fields of applied mechanics. In this paper two basic aspects are addressed …