A novel approach for volume-integral evaluation in the BEM

Jian Ding; Wenjing Ye

A novel approach for volume-integral evaluation in the BEM

^*Corresponding author for this work

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

Abstract

For non-homogeneous or nonlinear problems, a major difficulty in applying the Boundary Element Method (BEM) is the presence of volume integrals in the boundary integral formulation. In this paper, we describe a novel approach for evaluating these volume integrals without volume discretization of the problem domain. Based on this approach, an accelerated BEM solver for Poisson equations using only surface discretization has been developed. Case studies have been performed and results have been compared with analytical solutions.

Original language	English
Title of host publication	2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004
Editors	M. Laudon, B. Romanowicz
Pages	438-441
Number of pages	4
Publication status	Published - 2004
Externally published	Yes
Event	2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004 - Boston, MA, United States Duration: 7 Mar 2004 → 11 Mar 2004

Publication series

Name	2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004
Volume	2

Conference

Conference	2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004
Country/Territory	United States
City	Boston, MA
Period	7/03/04 → 11/03/04

Keywords

BEM
Fast algorithm
Poisson equation
Volume integral

Cite this

@inproceedings{813e942714b94c359de77155182eae9e,

title = "A novel approach for volume-integral evaluation in the BEM",

abstract = "For non-homogeneous or nonlinear problems, a major difficulty in applying the Boundary Element Method (BEM) is the presence of volume integrals in the boundary integral formulation. In this paper, we describe a novel approach for evaluating these volume integrals without volume discretization of the problem domain. Based on this approach, an accelerated BEM solver for Poisson equations using only surface discretization has been developed. Case studies have been performed and results have been compared with analytical solutions.",

keywords = "BEM, Fast algorithm, Poisson equation, Volume integral",

author = "Jian Ding and Wenjing Ye",

year = "2004",

language = "English",

isbn = "0972842276",

series = "2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004",

pages = "438--441",

editor = "M. Laudon and B. Romanowicz",

booktitle = "2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004",

note = "2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004 ; Conference date: 07-03-2004 Through 11-03-2004",

}

Ding, J & Ye, W 2004, A novel approach for volume-integral evaluation in the BEM. in M Laudon & B Romanowicz (eds), 2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004. 2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004, vol. 2, pp. 438-441, 2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004, Boston, MA, United States, 7/03/04.

A novel approach for volume-integral evaluation in the BEM. / Ding, Jian; Ye, Wenjing.
2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004. ed. / M. Laudon; B. Romanowicz. 2004. p. 438-441 (2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004; Vol. 2).

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

TY - GEN

T1 - A novel approach for volume-integral evaluation in the BEM

AU - Ding, Jian

AU - Ye, Wenjing

PY - 2004

Y1 - 2004

N2 - For non-homogeneous or nonlinear problems, a major difficulty in applying the Boundary Element Method (BEM) is the presence of volume integrals in the boundary integral formulation. In this paper, we describe a novel approach for evaluating these volume integrals without volume discretization of the problem domain. Based on this approach, an accelerated BEM solver for Poisson equations using only surface discretization has been developed. Case studies have been performed and results have been compared with analytical solutions.

AB - For non-homogeneous or nonlinear problems, a major difficulty in applying the Boundary Element Method (BEM) is the presence of volume integrals in the boundary integral formulation. In this paper, we describe a novel approach for evaluating these volume integrals without volume discretization of the problem domain. Based on this approach, an accelerated BEM solver for Poisson equations using only surface discretization has been developed. Case studies have been performed and results have been compared with analytical solutions.

KW - BEM

KW - Fast algorithm

KW - Poisson equation

KW - Volume integral

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M3 - Conference Paper published in a book

AN - SCOPUS:6344240813

SN - 0972842276

T3 - 2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004

SP - 438

EP - 441

BT - 2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004

A2 - Laudon, M.

A2 - Romanowicz, B.

T2 - 2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004

Y2 - 7 March 2004 through 11 March 2004

ER -

A novel approach for volume-integral evaluation in the BEM

Abstract

Publication series

Conference

Keywords

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