An overview of the method of fundamental solutions—Solvability, uniqueness, convergence, and stability

AHD Cheng, Y Hong - Engineering Analysis with Boundary Elements, 2020 - Elsevier
In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …

Boundary element methods in dynamic analysis

DE Beskos - 1987 - asmedigitalcollection.asme.org
A review of boundary element methods for the numerical solution of dynamic problems of
linear elasticity is presented. The integral formulation and the corresponding numerical …

The spectral element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures

D Komatitsch, JP Vilotte - Bulletin of the seismological …, 1998 - pubs.geoscienceworld.org
We present the spectral element method to simulate elastic-wave propagation in realistic
geological structures involving complieated free-surface topography and material interfaces …

Vibration isolation using open or filled trenches: Part 1: 2-D homogeneous soil

DE Beskos, B Dasgupta, IG Vardoulakis - Computational mechanics, 1986 - Springer
The problem of structural isolation from ground transmitted vibrations by open or infilled
trenches under conditions of plane strain is numerically studied. The soil medium is …

The spectral element method for elastic wave equations—application to 2‐D and 3‐D seismic problems

D Komatitsch, JP Vilotte, R Vai… - … Journal for numerical …, 1999 - Wiley Online Library
A spectral element method for the approximate solution of linear elastodynamic equations,
set in a weak form, is shown to provide an efficient tool for simulating elastic wave …

Diffracted waves and displacement field over two-dimensional elevated topographies

PY Bard - Geophysical Journal International, 1982 - academic.oup.com
Summary The Aki-Larner technique is used to perform, in both the time and frequency
domains, an analysis of the effects of two-dimensional elevated topography on ground …

Seismic response of three-dimensional alluvial valleys for incident P, S, and Rayleigh waves

FJ Sanchez-Sesma, F Luzon - Bulletin of the …, 1995 - pubs.geoscienceworld.org
A simplified indirect boundary-element method (BEM) is presented. It is used to compute the
seismic response of three-dimensional alluvial valleys under incident P, S, and Rayleigh …

Effects of local soil conditions on the topographic aggravation of seismic motion: parametric investigation and recorded field evidence from the 1999 Athens …

D Assimaki, G Gazetas… - Bulletin of the …, 2005 - pubs.geoscienceworld.org
During the 1999 Athens earthquake, the town of Adàmes, located on the eastern side of the
Kifissos river canyon, experienced unexpectedly heavy damage. Despite the particular …

Diffraction of elastic waves by three-dimensional surface irregularities

FJ Sanchez-Sesma - Bulletin of the seismological society …, 1983 - pubs.geoscienceworld.org
A boundary method is applied to study the scattering and diffraction of elastic waves by three-
dimensional surface irregularities on the surface of a half-space. The method makes use of …

Effect of three‐dimensional topography on seismic motion

M Bouchon, CA Schultz… - Journal of Geophysical …, 1996 - Wiley Online Library
We present a semianalytical, seminumerical method to calculate the diffraction of elastic
waves by an irregular topography of arbitrary shape. The method is a straightforward …