On mesh refinement and accuracy of numerical solutions

Hong Zhou; Maria Peters; Adriaan van Oosterom

doi:10.1109/IEMBS.1993.979238

On mesh refinement and accuracy of numerical solutions

Hong Zhou
, Maria Peters
, Adriaan van Oosterom

University of Twente

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

3 Citations (Scopus)

205 Downloads (Pure)

Abstract

This paper investigates mesh refinement and its relation with the accuracy of the boundary element method (BEM) and the finite element method (FEM). TO this end an isotropic homogeneous spherical volume conductor, for which the analytical solution is available, wag used. The numerical results obtained with the BEM and FEM were compared with the results of the andytical solution. The results show that the accuracy of the numerical solutions is improved by enriching a mesh only if the enriched mesh not only incorporates a greater number of nodes but also follows more closely the actual geometry of the volume conductor involved.

Original language	English
Title of host publication	Proceedings of the 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society 1993
Publisher	IEEE
Pages	1476-1477
ISBN (Print)	0-7803-1377-1
DOIs	https://doi.org/10.1109/IEMBS.1993.979238
Publication status	Published - 1993
Event	15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 1993 - San Diego, United States Duration: 28 Oct 1993 → 31 Oct 1993 Conference number: 15

Conference

Conference	15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 1993
Abbreviated title	EMBC
Country/Territory	United States
City	San Diego
Period	28/10/93 → 31/10/93

Keywords

IR-56053

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10.1109/IEMBS.1993.979238

Zhou1993onFinal published version, 198 KB

Cite this

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title = "On mesh refinement and accuracy of numerical solutions",

abstract = "This paper investigates mesh refinement and its relation with the accuracy of the boundary element method (BEM) and the finite element method (FEM). TO this end an isotropic homogeneous spherical volume conductor, for which the analytical solution is available, wag used. The numerical results obtained with the BEM and FEM were compared with the results of the andytical solution. The results show that the accuracy of the numerical solutions is improved by enriching a mesh only if the enriched mesh not only incorporates a greater number of nodes but also follows more closely the actual geometry of the volume conductor involved.",

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author = "Hong Zhou and Maria Peters and \{van Oosterom\}, Adriaan",

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booktitle = "Proceedings of the 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society 1993",

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note = "15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 1993, EMBC ; Conference date: 28-10-1993 Through 31-10-1993",

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Zhou, H, Peters, M & van Oosterom, A 1993, On mesh refinement and accuracy of numerical solutions. in Proceedings of the 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society 1993. IEEE, pp. 1476-1477, 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 1993, San Diego, California, United States, 28/10/93. https://doi.org/10.1109/IEMBS.1993.979238

TY - GEN

T1 - On mesh refinement and accuracy of numerical solutions

AU - Zhou, Hong

AU - Peters, Maria

AU - van Oosterom, Adriaan

N1 - Conference code: 15

PY - 1993

Y1 - 1993

N2 - This paper investigates mesh refinement and its relation with the accuracy of the boundary element method (BEM) and the finite element method (FEM). TO this end an isotropic homogeneous spherical volume conductor, for which the analytical solution is available, wag used. The numerical results obtained with the BEM and FEM were compared with the results of the andytical solution. The results show that the accuracy of the numerical solutions is improved by enriching a mesh only if the enriched mesh not only incorporates a greater number of nodes but also follows more closely the actual geometry of the volume conductor involved.

AB - This paper investigates mesh refinement and its relation with the accuracy of the boundary element method (BEM) and the finite element method (FEM). TO this end an isotropic homogeneous spherical volume conductor, for which the analytical solution is available, wag used. The numerical results obtained with the BEM and FEM were compared with the results of the andytical solution. The results show that the accuracy of the numerical solutions is improved by enriching a mesh only if the enriched mesh not only incorporates a greater number of nodes but also follows more closely the actual geometry of the volume conductor involved.

KW - IR-56053

U2 - 10.1109/IEMBS.1993.979238

DO - 10.1109/IEMBS.1993.979238

M3 - Conference contribution

SN - 0-7803-1377-1

SP - 1476

EP - 1477

BT - Proceedings of the 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society 1993

PB - IEEE

T2 - 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 1993

Y2 - 28 October 1993 through 31 October 1993

ER -

On mesh refinement and accuracy of numerical solutions

Abstract

Conference

Keywords

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