메뉴 건너뛰기




Volumn 52, Issue 2, 2005, Pages 249-257

A meshless method for solving the EEG forward problem

Author keywords

EEG; EEG forward problem; Layered media; Meshless method; Moving least squares approximation; Numerical solution; Volume conductor

Indexed keywords

BOUNDARY ELEMENTS; CONVERGENCE RATE; ELECTRIC ACTIVITY; ELECTRIC POTENTIAL DISTRIBUTION;

EID: 13244251004     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/TBME.2004.840499     Document Type: Article
Times cited : (25)

References (28)
  • 1
    • 0024615692 scopus 로고
    • Realistic conductivity geometry model of the human head for interpretation of neuromagnetic data
    • Feb.
    • M. S. Hamäläinen and J. Sarvas, "Realistic conductivity geometry model of the human head for interpretation of neuromagnetic data," IEEE Trans. Biomed. Eng., vol. 36, no. 2, pp. 165-171, Feb. 1989.
    • (1989) IEEE Trans. Biomed. Eng. , vol.36 , Issue.2 , pp. 165-171
    • Hamäläinen, M.S.1    Sarvas, J.2
  • 2
    • 0026926316 scopus 로고
    • A linear discretization of the volume conductor boundary integral equation using analytically integrated elements
    • Sep.
    • J. C. de Munck, "A linear discretization of the volume conductor boundary integral equation using analytically integrated elements," IEEE Trans. Biomed. Eng., vol. 39, no. 9, pp. 986-990, Sep. 1992.
    • (1992) IEEE Trans. Biomed. Eng. , vol.39 , Issue.9 , pp. 986-990
    • De Munck, J.C.1
  • 3
    • 0020642191 scopus 로고
    • The solid angle of a plane triangle
    • Feb.
    • A. van Oosterom and 3. Strackee, "The solid angle of a plane triangle," IEEE Trans. Biomed. Eng., vol. 30, no. 2, pp. 125-126, Feb. 1983.
    • (1983) IEEE Trans. Biomed. Eng. , vol.30 , Issue.2 , pp. 125-126
    • Van Oosterom, A.1    Strackee, J.2
  • 4
    • 0026221026 scopus 로고
    • Finite-element model of the human head: Scalp potentials due to dipole sources
    • Sep.
    • Y. Yan, P. L. Nunez, and R. T. Hart, "Finite-element model of the human head: Scalp potentials due to dipole sources," Meth. Biol. Eng. Comput., vol. 29, pp. 475-481, Sep. 1991.
    • (1991) Meth. Biol. Eng. Comput. , vol.29 , pp. 475-481
    • Yan, Y.1    Nunez, P.L.2    Hart, R.T.3
  • 5
    • 0030027037 scopus 로고    scopus 로고
    • Computation of neuromagnetic fields using finite-elements method and Biot-Savart law
    • Jan.
    • S. P. van den Broek, H. Zhou, and M. J. Peters, "Computation of neuromagnetic fields using finite-elements method and Biot-Savart law," Med. Biol. Eng. Comput., vol. 34, pp. 21-26, Jan. 1996.
    • (1996) Med. Biol. Eng. Comput. , vol.34 , pp. 21-26
    • Van Den Broek, S.P.1    Zhou, H.2    Peters, M.J.3
  • 6
    • 0027689350 scopus 로고
    • A fast method to compute surface potentials in the multisphere model
    • Nov.
    • J. C. de Munck and M. J. Peters, "A fast method to compute surface potentials in the multisphere model," IEEE Trans. Biomed. Eng., vol. 40, no. 11, pp. 1166-1174, Nov. 1993.
    • (1993) IEEE Trans. Biomed. Eng. , vol.40 , Issue.11 , pp. 1166-1174
    • De Munck, J.C.1    Peters, M.J.2
  • 7
    • 0035201490 scopus 로고    scopus 로고
    • A fast method to derive realistic BEM models for E/MEG source reconstruction
    • D. van't Ent, J. C. de Munck, and A. L. Kaas, "A fast method to derive realistic BEM models for E/MEG source reconstruction," IEEE Trans. Biomed. Eng., vol. 48, no. 12, pp. 1434-1443, 2001.
    • (2001) IEEE Trans. Biomed. Eng. , vol.48 , Issue.12 , pp. 1434-1443
    • Van't Ent, D.1    De Munck, J.C.2    Kaas, A.L.3
  • 8
    • 0042964833 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin (MLPG) method: A simple & less-costly alternative to the finite element and boundary element methods
    • S. N. Atluri and S. Shen, "The meshless local Petrov-Galerkin (MLPG) method: A simple & less-costly alternative to the finite element and boundary element methods," Comput. Model. Eng. Sci., vol. 3, no. 1, pp. 11-51, 2002.
    • (2002) Comput. Model. Eng. Sci. , vol.3 , Issue.1 , pp. 11-51
    • Atluri, S.N.1    Shen, S.2
  • 10
    • 0031167261 scopus 로고    scopus 로고
    • A three-dimensional explicit element-free Galerkin method
    • T. Belytschko, P. Krysl, and Y. Krongauz, "A three-dimensional explicit element-free Galerkin method," Int. J. Numer. Meth. Fluids, vol. 24, pp. 1253-1270, 1997.
    • (1997) Int. J. Numer. Meth. Fluids , vol.24 , pp. 1253-1270
    • Belytschko, T.1    Krysl, P.2    Krongauz, Y.3
  • 13
    • 0041593773 scopus 로고    scopus 로고
    • Solving differential equations with radial basis functions: Multilevel methods and smoothing
    • G. E. Fasshauer, "Solving differential equations with radial basis functions: Multilevel methods and smoothing," Adv. Comput. Math., vol. 11, pp. 139-159, 1999.
    • (1999) Adv. Comput. Math. , vol.11 , pp. 139-159
    • Fasshauer, G.E.1
  • 14
    • 0031104069 scopus 로고    scopus 로고
    • The boundary node method for potential problems
    • Y. X. Mukherjee and S. Mukherjee, "The boundary node method for potential problems," Int. J. Numer. Meth. Eng., vol. 40, pp. 797-815, 1997.
    • (1997) Int. J. Numer. Meth. Eng. , vol.40 , pp. 797-815
    • Mukherjee, Y.X.1    Mukherjee, S.2
  • 15
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse aproximation and diffuse elements
    • B. Nayroles, G. Touzot, and P. Villon, "Generalizing the finite element method: Diffuse aproximation and diffuse elements," Comput. Mech., vol. 10, pp. 307-318, 1992.
    • (1992) Comput. Mech. , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 16
    • 0030294780 scopus 로고    scopus 로고
    • A finite point method in computational mechanics. Applications to convective transport and fluid flow
    • E. Oñate, S. Idelsohn, O. C. Zienkiewicz, and R. L. Taylor, "A finite point method in computational mechanics. Applications to convective transport and fluid flow," Int. J. Numer. Meth. Eng., vol. 39, no. 22, pp. 3839-3886, 1996.
    • (1996) Int. J. Numer. Meth. Eng. , vol.39 , Issue.22 , pp. 3839-3886
    • Oñate, E.1    Idelsohn, S.2    Zienkiewicz, O.C.3    Taylor, R.L.4
  • 17
    • 0032047472 scopus 로고    scopus 로고
    • A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
    • T. Zhu, J.-D. Zhang, and S. N. Atluri, "A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach," Comput. Mech., vol. 21, pp. 223-235, 1998.
    • (1998) Comput. Mech. , vol.21 , pp. 223-235
    • Zhu, T.1    Zhang, J.-D.2    Atluri, S.N.3
  • 18
    • 0024118925 scopus 로고
    • Mathematical dipoles are adequate to describe realistic generators of human brain activity
    • Nov.
    • J. C. de Munck, B. W. van Dijk, and H. Spekreijse, "Mathematical dipoles are adequate to describe realistic generators of human brain activity," IEEE Trans. Biomed. Eng., vol. 35, no. 11, pp. 960-966, Nov. 1988.
    • (1988) IEEE Trans. Biomed. Eng. , vol.35 , Issue.11 , pp. 960-966
    • De Munck, J.C.1    Van Dijk, B.W.2    Spekreijse, H.3
  • 21
    • 0033121766 scopus 로고    scopus 로고
    • Boundary and interface conditions in meshless methods
    • May
    • C. Hèrault and Y. Marèchal, "Boundary and interface conditions in meshless methods," IEEE Trans. Magn., vol. 35, no. 3, pp. 1450-1453, May 1999.
    • (1999) IEEE Trans. Magn. , vol.35 , Issue.3 , pp. 1450-1453
    • Hèrault, C.1    Marèchal, Y.2
  • 24
    • 0013378811 scopus 로고    scopus 로고
    • Sparse numerical linear algebra: Direct methods and preconditioning
    • I. S. Duff and G. A. Watson, Eds. Oxford, U.K.: Oxford Univ. Press. [Online]. Available: citeseer.ist.psu.edu/duff96sparse.html
    • I. S. Duff, "Sparse numerical linear algebra: Direct methods and preconditioning," in The State of the Art in Numerical Analysis, I. S. Duff and G. A. Watson, Eds. Oxford, U.K.: Oxford Univ. Press, 1997, pp. 27-62. [Online]. Available: citeseer.ist.psu.edu/duff96sparse.html.
    • (1997) The State of the Art in Numerical Analysis , pp. 27-62
    • Duff, I.S.1
  • 25
    • 0024755539 scopus 로고
    • On the numerical accuracy of the boundary element method
    • Oct.
    • J. W. H. Meijs, O. W. Weier, M. J. Peters, and A. van Oosterom, "On the numerical accuracy of the boundary element method," IEEE Trans. Biomed. Eng., vol. 36, no. 10, pp. 1038-1049, Oct. 1989.
    • (1989) IEEE Trans. Biomed. Eng. , vol.36 , Issue.10 , pp. 1038-1049
    • Meijs, J.W.H.1    Weier, O.W.2    Peters, M.J.3    Van Oosterom, A.4
  • 26
    • 3042775613 scopus 로고    scopus 로고
    • Zurich, Switzerland, [Online]
    • N. Krzebek and S. Sauter, "Fast Cluster Techniques for BEM," Univ. Zurich, Zurich, Switzerland, [Online]. Available: http://www.math.unizh. ch/fileadmin/math/preprints/04-02rev.pdf, 2002.
    • (2002) Fast Cluster Techniques for BEM
    • Krzebek, N.1    Sauter, S.2
  • 27
    • 0043234061 scopus 로고    scopus 로고
    • Sparse approximated inverse preconditioning for dense linear systems arising in computational electromagnetics
    • G. Alléon, M. Benzi, and L. Giraud, "Sparse approximated inverse preconditioning for dense linear systems arising in computational electromagnetics," Numer. Algorithms, vol. 16, no. 1, pp. 1-15, 1997.
    • (1997) Numer. Algorithms , vol.16 , Issue.1 , pp. 1-15
    • Alléon, G.1    Benzi, M.2    Giraud, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.