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An overview of the method of fundamental solutions—Solvability, uniqueness, convergence, and stability
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 …
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …
Recent advances and emerging applications of the boundary element method
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 …
FEM-BEM analysis of acoustic interaction with submerged thin-shell structures under seabed reflection conditions
The paper introduces a novel method for simulating acoustic–shell interaction subject to
seabed reflection. The vibration of thin-shell structure is analyzed using the finite element …
seabed reflection. The vibration of thin-shell structure is analyzed using the finite element …
Seamless integration of computer-aided geometric modeling and acoustic simulation: Isogeometric boundary element methods based on Catmull-Clark subdivision …
Isogeometric boundary element method is a computer simulation algorithm that can directly
utilize the data of a geometric model represented by its surface. Catmull-Clark subdivision …
utilize the data of a geometric model represented by its surface. Catmull-Clark subdivision …
Thermal analysis for plate structures using a transformation BEM based on complex poles
Y Zhong, G **e, H Geng, J Hou, D Zhao… - Computers & Mathematics …, 2024 - Elsevier
In this paper, according to the element discretization characteristic of the geometric model, a
complex function theory based transformation boundary element method is proposed to …
complex function theory based transformation boundary element method is proposed to …
Imposition of essential boundary conditions in the material point method
There is increasing interest in the material point method (MPM) as a means of modelling
solid mechanics problems in which very large deformations occur, eg in the study of …
solid mechanics problems in which very large deformations occur, eg in the study of …
Deep-neural-network-based framework for the accelerating uncertainty quantification of a structural–acoustic fully coupled system in a shallow sea
To systematically quantify certain uncertainties within the vibro-acoustic coupling problems,
we propose a framework for sampling the acceleration and uncertainty quantification based …
we propose a framework for sampling the acceleration and uncertainty quantification based …
[HTML][HTML] A general algorithm for the numerical evaluation of nearly singular integrals on 3D boundary element
A general numerical method is proposed to compute nearly singular integrals arising in the
boundary integral equations (BIEs). The method provides a new implementation of the …
boundary integral equations (BIEs). The method provides a new implementation of the …
Subdivision surfaces—boundary element accelerated by fast multipole for the structural acoustic problem
A novel boundary element method based on subdivision surfaces is applied to simulate
wave scattering problems governed by the Helmholtz equation. The Loop subdivision …
wave scattering problems governed by the Helmholtz equation. The Loop subdivision …
Element differential method and its application in thermal‐mechanical problems
In this paper, a new numerical method, element differential method (EDM), is proposed for
solving general thermal‐mechanical problems. The key point of the method is the direct …
solving general thermal‐mechanical problems. The key point of the method is the direct …