scholarly journals An Efficient Higher-Order Fast Multipole Boundary Element Solution for Poisson–Boltzmann-Based Molecular Electrostatics

2011 ◽  
Vol 33 (2) ◽  
pp. 826-848 ◽  
Author(s):  
Chandrajit Bajaj ◽  
Shun-Chuan Chen ◽  
Alexander Rand
Keyword(s):  
Boundary Element ◽  
Higher Order ◽  
Element Solution ◽  
Fast Multipole ◽  
Poisson Boltzmann ◽  
Molecular Electrostatics

A fast multipole boundary element method based on higher order elements for analyzing 2-D potential problems

2021 ◽  
Vol 87 ◽  
pp. 65-76
Author(s):  
Bin Hu ◽  
Zongjun Hu ◽  
Cong Li ◽  
Zhongrong Niu ◽  
Xiaobao Li
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Higher Order ◽  
Fast Multipole ◽  
Potential Problems ◽  
Element Method

scholarly journals An Adaptive Fast Multipole Boundary Element Method for Poisson−Boltzmann Electrostatics

2009 ◽  
Vol 5 (6) ◽  
pp. 1692-1699 ◽  
Author(s):  
Benzhuo Lu ◽  
Xiaolin Cheng ◽  
Jingfang Huang ◽  
J. Andrew McCammon
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Fast Multipole ◽  
Poisson Boltzmann ◽  
Element Method

A fast multipole boundary element method based on higher order elements for analyzing 2-D elastostatic problems

2021 ◽  
Vol 130 ◽  
pp. 417-428
Author(s):  
Hu Bin ◽  
Niu Zhongrong ◽  
Li Cong ◽  
Hu Zongjun
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Higher Order ◽  
Fast Multipole ◽  
Element Method

The fast multipole boundary element method for molecular electrostatics: An optimal approach for large systems

1995 ◽  
Vol 16 (7) ◽  
pp. 898-913 ◽  
Author(s):  
Ranganathan Bharadwaj ◽  
Andreas Windemuth ◽  
S. Sridharan ◽  
Barry Honig ◽  
Anthony Nicholls
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Fast Multipole ◽  
Large Systems ◽  
Optimal Approach ◽  
Element Method ◽  
Molecular Electrostatics

An Adaptive Fast Multipole Higher Order Boundary Element Method for Power Frequency Electric Field of Substation

2010 ◽  
Vol 27 (3) ◽  
pp. 034105 ◽  
Author(s):  
Zhang Zhan-Long ◽  
Deng Jun ◽  
Xiao Dong-Ping ◽  
He Wei ◽  
Tang Ju
Keyword(s):  
Boundary Element Method ◽  
Electric Field ◽  
Boundary Element ◽  
Higher Order ◽  
Fast Multipole ◽  
Power Frequency ◽  
Frequency Electric Field ◽  
Element Method

Recent Development of the Fast Multipole Boundary Element Method for Modeling Acoustic Problems

2009 ◽  
Author(s):  
Yijun Liu ◽  
Milind Bapat
Keyword(s):  
Boundary Element Method ◽  
Acoustic Wave ◽  
Boundary Element ◽  
Large Scale ◽  
Boundary Integral ◽  
Practical Significance ◽  
Fast Multipole ◽  
Tree Structures ◽  
Wave Problems ◽  
Element Method

Some recent development of the fast multipole boundary element method (BEM) for modeling acoustic wave problems in both 2-D and 3-D domains are presented in this paper. First, the fast multipole BEM formulation for 2-D acoustic wave problems based on a dual boundary integral equation (BIE) formulation is presented. Second, some improvements on the adaptive fast multipole BEM for 3-D acoustic wave problems based on the earlier work are introduced. The improvements include adaptive tree structures, error estimates for determining the numbers of expansion terms, refined interaction lists, and others in the fast multipole BEM. Examples involving 2-D and 3-D radiation and scattering problems solved by the developed 2-D and 3-D fast multipole BEM codes, respectively, will be presented. The accuracy and efficiency of the fast multipole BEM results clearly demonstrate the potentials of the fast multipole BEM for solving large-scale acoustic wave problems that are of practical significance.

Fast Multipole Virtual Boundary Element - Least Square Method for Solving 2-D Elastic Problems

2011 ◽  
Vol 204-210 ◽  
pp. 2196-2201
Author(s):  
Yan Tao Jiang ◽  
Si Tian Chen ◽  
Cheng Hua Li
Keyword(s):  
Boundary Element ◽  
Large Scale ◽  
Fast Multipole Method ◽  
Main Idea ◽  
Least Square Method ◽  
Least Square ◽  
Fast Multipole ◽  
Large Scale Problems ◽  
Virtual Boundary ◽  
Virtual Boundary Element

In this paper, the fast multipole virtual boundary element - least square method (Fast Multipole VBE - LSM) is proposed and used to simulate 2-D elastic problems, which is based on the fast multipole method (FMM) and virtual boundary element - least square method (VBE - LSM).The main idea of the method is to change computational model by applying the FMM to conventional VBE - LSM. The memory and operations could be reduced to be of linear proportion to the degree of freedom (DOF) and large scale problems could be effectively solved on a common desktop with this method. Numerical results show that this method holds virtues of high feasibility, accuracy and efficiency. Moreover, the idea of this method can be generalized and extended in application.

A self-adaptive mesh refinement technique for boundary element solution of the Laplace equation.

1988 ◽  
Vol 3 (5) ◽  
pp. 309-319 ◽  
Author(s):  
J. J. Rencis ◽  
R. L. Mullen
Keyword(s):  
Boundary Element ◽  
Laplace Equation ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Element Solution ◽  
Self Adaptive
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