On mesh refinement and accuracy of numerical solutions

Hong Zhou, Maria Peters, Adriaan van Oosterom

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

2 Citations (Scopus)
40 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 languageEnglish
Title of host publicationProceedings of the 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society 1993
PublisherIEEE
Pages1476-1477
ISBN (Print)0-7803-1377-1
DOIs
Publication statusPublished - 1993
Event15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 1993 - San Diego, United States
Duration: 28 Oct 199331 Oct 1993
Conference number: 15

Conference

Conference15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 1993
Abbreviated titleEMBC
CountryUnited States
CitySan Diego
Period28/10/9331/10/93

Fingerprint

Boundary element method
Finite element method
Geometry

Keywords

  • IR-56053

Cite this

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 (pp. 1476-1477). IEEE. https://doi.org/10.1109/IEMBS.1993.979238
Zhou, Hong ; Peters, Maria ; van Oosterom, Adriaan. / On mesh refinement and accuracy of numerical solutions. Proceedings of the 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society 1993. IEEE, 1993. pp. 1476-1477
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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, United States, 28/10/93. https://doi.org/10.1109/IEMBS.1993.979238

On mesh refinement and accuracy of numerical solutions. / Zhou, Hong; Peters, Maria; van Oosterom, Adriaan.

Proceedings of the 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society 1993. IEEE, 1993. p. 1476-1477.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

TY - GEN

T1 - On mesh refinement and accuracy of numerical solutions

AU - Zhou, Hong

AU - Peters, Maria

AU - van Oosterom, Adriaan

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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.

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Zhou H, Peters M, van Oosterom A. 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. 1993. p. 1476-1477 https://doi.org/10.1109/IEMBS.1993.979238