This paper presents some optimizations of a fast multipole symmetric Galerkin boundary element method code. Except general optimizations, the code is specially sped up for crack propagation problems. Existing useful computational results are saved and re-used during the propagation. Some time-consuming ...
So you will easily find that, every element of this matrix requries the integration on two triangles, which should be easy if they are separated. Just use Duffy Transform we have mentioned before, and apply Gaussion numerical integration, and done. However, what if these two triangle, say,...
If you have self-implemented Finite Element Method (FEM) already, this should be easy enough for you to understand. Here we only use 3-D examples to explain this. A shape functionϕ(x)is a support function surrounding a vertexx, it can be p.c. linear, quadratic, or higher accuracy....
The boundary element method (BEM) was successfully combined with a cellular automaton (CA) to find optimal shapes of the sound-insulating wall. A new transition rule has been proposed for application of CA, and the computer code has been developed. Typical examples of the sound-insulating wall...
Hydrodynamic coefficients viewer and converter for Boundary Element Method solver formats - BEMRosetta/BEMRosetta
Coupling with a Fast Multiple Method (FMM) to get a performance improvement. Hybrid Distributed (MPI) - Shared (Intel Threaded Building Block) memory parallelisation for the BEM-FMM code Recovery of both primal (potential) and dual (potential normal derivative) unknowns. ...
This paper introduces an innovative approach to numerically model Structure–Soil-Structure Interaction (SSSI) by integrating the Boundary Element Method (BEM) and the Finite Element Method (FEM) in a coupled manner. To assess the accuracy of the proposed method, a comparative study is undertaken,...
In this study, we employ the scaled boundary finite-element method (SBFEM) to solve two-dimensional heat conduction problems. In the last two decades, SBFEM has been applied successfully in different fields of engineering and science. SBFEM utilizes the advantages of both the boundary element and...
Solving Heat Radiation Problems using the Boundary Element Method The method transforms the integral equation of radiation into a set of algebraic equations for a chosen number of bands. Solving the set for band heat ... R Bialecki - 《Zamm Journal of Applied Mathematics & Mechanics Zeitschrift ...
computation Article An Extremely Efficient Boundary Element Method for Wave Interaction with Long Cylindrical Structures Based on Free-Surface Green's Function Yingyi Liu 1,*, Ying Gou 2, Bin Teng 2 and Shigeo Yoshida 1 1 Renewable Energy Center, Research Institute for Applied Mechanics, Kyushu ...