Singular boundary method: A review and computer implementation aspects
This paper presents an overview of the singular boundary method (SBM) and its various
engineering applications. The basic concepts of the singular boundary method are first …
engineering applications. The basic concepts of the singular boundary method are first …
Green's functions for geophysics: a review
E Pan - Reports on Progress in Physics, 2019 - iopscience.iop.org
The Green's function (GF) method, which makes use of GFs, is an important and elegant tool
for solving a given boundary-value problem for the differential equation from a real …
for solving a given boundary-value problem for the differential equation from a real …
A three-dimensional indirect boundary integral equation method for the scattering of seismic waves in a poroelastic layered half-space
A new indirect boundary integral equation method (IBIEM) is developed to solve the seismic
wave scattering problem in a three-dimensional fluid-saturated layered half-space. Based …
wave scattering problem in a three-dimensional fluid-saturated layered half-space. Based …
The Burton and Miller method: Unlocking another mystery of its coupling parameter
S Marburg - Journal of Computational Acoustics, 2016 - World Scientific
The phenomenon of irregular frequencies or spurious modes when solving the Kirchhoff–
Helmholtz integral equation has been extensively studied over the last six or seven …
Helmholtz integral equation has been extensively studied over the last six or seven …
Rapid calculation of large-scale acoustic scattering from complex targets by a dual-level fast direct solver
Rapid calculation of large-scale acoustic scattering from complex targets is the basis of
many acoustic technologies. The key issue is to efficiently solve the dense and ill …
many acoustic technologies. The key issue is to efficiently solve the dense and ill …
The rapid assessment for three-dimensional potential model of large-scale particle system by a modified multilevel fast multipole algorithm
In this study, a modified multilevel fast multipole algorithm is constructed for investigating
large-scale particle systems. The algorithm expands the number of levels of the modified …
large-scale particle systems. The algorithm expands the number of levels of the modified …
Finding the hidden path: Time bounds for all-pairs shortest paths
The all-pairs shortest-paths problem in weighted graphs is investigated. An algorithm—the
Hidden-Paths Algorithm—that finds these paths in time O(m^*n+n^2\logn), where m^* is the …
Hidden-Paths Algorithm—that finds these paths in time O(m^*n+n^2\logn), where m^* is the …
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 …
Is the Burton–Miller formulation really free of fictitious eigenfrequencies?
This paper is concerned with the fictitious eigenfrequency problem of the boundary integral
equation methods when solving exterior acoustic problems. A contour integral method is …
equation methods when solving exterior acoustic problems. A contour integral method is …
A practical walk-on-boundary method for boundary value problems
We introduce the walk-on-boundary (WoB) method for solving boundary value problems to
computer graphics. WoB is a grid-free Monte Carlo solver for certain classes of second order …
computer graphics. WoB is a grid-free Monte Carlo solver for certain classes of second order …