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 …

Poroelastodynamics: linear models, analytical solutions, and numerical methods

M Schanz - 2009 - asmedigitalcollection.asme.org
This article presents an overview on poroelastodynamic models and some analytical
solutions. A brief summary of Biot's theory and of other poroelastic dynamic governing …

[图书][B] Seismic interferometry

GT Schuster - 2009 - books.google.com
Seismic interferometry is an exciting new field in geophysics utilizing multiple scattering
events to provide unprecedented views of the Earth's subsurface. This is the first book to …

[图书][B] Retarded potentials and time domain boundary integral equations: A road map

FJ Sayas - 2016 - books.google.com
This book offers a thorough and self-contained exposition of the mathematics of time-domain
boundary integral equations associated to the wave equation, including applications to …

[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 …

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 …

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 …

Multistep and multistage convolution quadrature for the wave equation: algorithms and experiments

L Banjai - SIAM Journal on Scientific Computing, 2010 - SIAM
We describe how a time-discretized wave equation in a homogeneous medium can be
solved by boundary integral methods. The time discretization can be a multistep, Runge …

Theoretical aspects of the application of convolution quadrature to scattering of acoustic waves

AR Laliena, FJ Sayas - Numerische Mathematik, 2009 - Springer
In this paper we address several theoretical questions related to the numerical
approximation of the scattering of acoustic waves in two or three dimensions by penetrable …

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 …