105
Views
4
CrossRef citations to date
0
Altmetric
Section B

Solving anisotropic elliptic and parabolic equations by a meshless method: simulation of the electrical conductivity of a tissue

, , , &
Pages 1914-1926 | Received 19 Sep 2011, Accepted 14 May 2012, Published online: 12 Jun 2012

References

  • Benito , J. J. , Ureña , F. and Gavete , L. 2001 . Influence several factors in the generalized finite difference method . Appl. Math. Model. , 25 : 1039 – 1053 .
  • Benito , J. J. , Ureña , F. , Gavete , L. and Alvarez , R. 2003 . An h-adaptive method in the generalized finite difference . Comput. Methods Appl. Mech. Eng. , 192 : 735 – 759 .
  • Benito , J. J. , Ureña , F. , Gavete , L. and Alonso , B. 2007 . Solving parabolic and hyperbolic equations by generalized finite difference method . J. Comput. Appl. Math. , 209 ( 2 ) : 208 – 233 .
  • Gavete , L. , Gavete , M. L. and Benito , J. J. 2003 . Improvements of generalized finite difference method and comparison with other meshless method . Appl. Math. Model. , 27 ( 10 ) : 831 – 847 .
  • Lancaster , P. and Salkauskas , K. 1986 . Curve and Surface Fitting an Introduction , London : Academic Press .
  • Liszka , T. 1984 . An interpolation method for an irregular net of nodes . Int. J. Numer. Meth. Eng. , 20 : 1599 – 1612 .
  • Liszka , T. and Orkisz , J. 1980 . The finite difference method at arbitrary irregular grids and its application in applied mechanics . Comput. Structures , 11 : 83 – 95 .
  • Roth , B. J. and Beaudoin , D. L. 2003 . Approximate analytical solutions of the Bidomain equations for electrical simulation of cardiac tissue with curving fibers . Phys. Rev. E , 67 051925 [8 pp.]
  • Trew , M. L. , Smail , B. H. , Bullivant , D. P. , Hunter , P. J. and Pullan , A. J. 2005 . A generalized finite difference method for modelling cardiac electrical activation on arbitrary irregular computational meshes . Math. Biosci. , 198 : 169 – 189 .
  • Ureña , F. , Benito , J. J. , Gavete , L. and Alvarez , R. 2005 . Computational error approximation and h-adaptive algorithm for the 3-D generalized finite difference method . J. Comput. Methods Eng. Sci. Mech. , 6 : 31 – 39 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.