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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
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 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 …
A singular boundary method for transient coupled dynamic thermoelastic analysis
L Sun, Q Zhang, Z Chen, X Wei - Computers & Mathematics with …, 2024 - Elsevier
In this study, a singular boundary method (SBM) formulation is developed for the transient
coupled dynamic thermoelastic problems. Before applying the SBM, a method based on …
coupled dynamic thermoelastic problems. Before applying the SBM, a method based on …
SCTBEM: A scaled coordinate transformation boundary element method with 99-line MATLAB code for solving Poisson's equation
This study introduces the scaled coordinate transformation boundary element method
(SCTBEM), a novel boundary-type method for solving three-dimensional potential problems …
(SCTBEM), a novel boundary-type method for solving three-dimensional potential problems …
The Burton and Miller method: Unlocking another mystery of its coupling parameter
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 …
On the BEM for acoustic wave problems
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 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 …
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 …
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 …