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 …
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 …
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 …
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 …
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 …
domain boundary integral formulations of the wave equation. We employ Lubich's …
Transient wave propagation in a one-dimensional poroelastic column
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 …
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 …
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 …
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
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 …
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 …
useful in many fields of applied mechanics. In this paper two basic aspects are addressed …