메뉴 건너뛰기




Volumn 39, Issue 4, 2002, Pages 1219-1253

Numerical solution of an ionic Fokker-Planck equation with electronic temperature

Author keywords

Fokker Planck Landau equation; Kinetics model; Numerical scheme; Plasma physics

Indexed keywords


EID: 0035453010     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142999359669     Document Type: Article
Times cited : (31)

References (22)
  • 2
    • 0001044420 scopus 로고
    • Transport processes in a plasma
    • Consultants Bureau, New York
    • S. I. BRAGINSKII, Transport processes in a plasma, in Reviews of Plasma Physics, Vol. 1, Consultants Bureau, New York, 1965, pp. 205-311.
    • (1965) Reviews of Plasma Physics , vol.1 , pp. 205-311
    • Braginskii, S.I.1
  • 3
    • 0003257826 scopus 로고    scopus 로고
    • Fluid equations and transport, coefficients of plasmas
    • P. A. Raviart, ed., Masson, Paris
    • A. DECOSTER, Fluid equations and transport, coefficients of plasmas, in Modeling of Collisions, P. A. Raviart, ed., Masson, Paris, 1998.
    • (1998) Modeling of Collisions
    • Decoster, A.1
  • 6
    • 0031161707 scopus 로고    scopus 로고
    • Inégalité entropique pour un Solveur conservatif du système de la dynamique des gaz en coordonnés de Lagrange
    • B. DESPRÉS, Inégalité entropique pour un Solveur conservatif du système de la dynamique des gaz en coordonnés de Lagrange, C. R. Acad. Sci. Paris Sér. I Math., 324 (1997), pp. 1301-1306.
    • (1997) C. R. Acad. Sci. Paris Sér. I Math. , vol.324 , pp. 1301-1306
    • Després, B.1
  • 7
    • 0000421794 scopus 로고
    • Kinetic simulation of a collisional shock wave in a plasma
    • M. CASANOVA, O. LARROCHE, AND J. P. MATTE, Kinetic simulation of a collisional shock wave in a plasma, Phys. Rev. Lett., 67 (1991), pp. 2143-2146.
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 2143-2146
    • Casanova, M.1    Larroche, O.2    Matte, J.P.3
  • 8
    • 0000956425 scopus 로고
    • A practical difference scheme for Fokker-Planck equations
    • J. S. CHANG AND G. COOPER, A practical difference scheme for Fokker-Planck equations, J. Comput. Phys., 6 (1970), pp. 1-16.
    • (1970) J. Comput. Phys. , vol.6 , pp. 1-16
    • Chang, J.S.1    Cooper, G.2
  • 9
    • 0031572110 scopus 로고    scopus 로고
    • Fully implicit kinetic solution of collisional plasmas
    • V. A. MOUSSEAU AND D. A. KNOLL, Fully implicit kinetic solution of collisional plasmas, J. Comput. Phys., 136 (1997), pp. 308-323.
    • (1997) J. Comput. Phys. , vol.136 , pp. 308-323
    • Mousseau, V.A.1    Knoll, D.A.2
  • 10
    • 0000123934 scopus 로고
    • Implicit and conservative difference scheme for the Fokker-Planck equation
    • E. M. EPPERLEIN, Implicit and conservative difference scheme for the Fokker-Planck equation, J. Comput. Phys., 112 (1994), pp. 291-297.
    • (1994) J. Comput. Phys. , vol.112 , pp. 291-297
    • Epperlein, E.M.1
  • 11
    • 0001575743 scopus 로고
    • Conservative finite difference schemes for the Fokker-Planck equation not violating the law of an increasing entropy
    • YU. A. BEREZIN, V. N. KHUDICK, AND M. S. PEKKER, Conservative finite difference schemes for the Fokker-Planck equation not violating the law of an increasing entropy, J. Comput. Phys., 69 (1987), pp. 163-174.
    • (1987) J. Comput. Phys. , vol.69 , pp. 163-174
    • Berezin, Yu.A.1    Khudick, V.N.2    Pekker, M.S.3
  • 12
    • 0000583046 scopus 로고
    • The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case
    • P. DEGOND AND B. LUCQUIN-DESREUX, The Fokker-Planck asymptotics of the Boltzmann collision operator in the Coulomb case, Math. Models Methods Appl. Sci., 2 (1992), pp. 167-182.
    • (1992) Math. Models Methods Appl. Sci. , vol.2 , pp. 167-182
    • Degond, P.1    Lucquin-Desreux, B.2
  • 13
    • 0000576987 scopus 로고    scopus 로고
    • The asymptotics of collision operators for two species of particles of disparate masses
    • P. DEGOND AND B. LUCQUIN-DESREUX, The asymptotics of collision operators for two species of particles of disparate masses, Math. Models Methods Appl. Sci., 6 (1996), pp. 405-436.
    • (1996) Math. Models Methods Appl. Sci. , vol.6 , pp. 405-436
    • Degond, P.1    Lucquin-Desreux, B.2
  • 14
    • 21344479554 scopus 로고
    • An entropy scheme for the Fokker-Planck collision operator of plasma kinetic theory
    • P. DEGOND AND B. LUCQUIN-DESREUX, An entropy scheme for the Fokker-Planck collision operator of plasma kinetic theory, Numer. Math., 68 (1994), pp. 239-262.
    • (1994) Numer. Math. , vol.68 , pp. 239-262
    • Degond, P.1    Lucquin-Desreux, B.2
  • 16
    • 0000449286 scopus 로고    scopus 로고
    • Numerical analysis of conservative and entropy schemes for the Fokker-Planck-Landau equation
    • C. BUET AND S. CORDIER, Numerical analysis of conservative and entropy schemes for the Fokker-Planck-Landau equation, SIAM J. Numer. Anal., 36 (1999), pp. 953-973.
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 953-973
    • Buet, C.1    Cordier, S.2
  • 17
    • 0039498698 scopus 로고    scopus 로고
    • Conservative and entropy decaying numerical scheme for the isotropic Fokker-Planck-Landau equation
    • C. BUET, S. CORDIER, Conservative and entropy decaying numerical scheme for the isotropic Fokker-Planck-Landau equation, J. Comput. Phys., 145 (1998), pp. 228-245.
    • (1998) J. Comput. Phys. , vol.145 , pp. 228-245
    • Buet, C.1    Cordier, S.2
  • 18
    • 0031570220 scopus 로고    scopus 로고
    • Fast algorithms for numerical, conservative and entropy approximations of the Fokker-Planck-Landau equation
    • C. BUET, S. CORDIER, P. DEGOND, AND M. LEMOU, Fast algorithms for numerical, conservative and entropy approximations of the Fokker-Planck-Landau equation, J. Comput. Phys., 133 (1997), pp. 310-322.
    • (1997) J. Comput. Phys. , vol.133 , pp. 310-322
    • Buet, C.1    Cordier, S.2    Degond, P.3    Lemou, M.4
  • 20
    • 0041539911 scopus 로고    scopus 로고
    • Sur un schéma numérique semi-discret appliqué à une équation de Fokker-Planck isotrope
    • S. DELLACHERIE, Sur un schéma numérique semi-discret appliqué à une équation de Fokker-Planck isotrope, C. R. Acad. Sci. Paris Sér. I Math., 328 (1999), pp. 1219-1224.
    • (1999) C. R. Acad. Sci. Paris Sér. I Math. , vol.328 , pp. 1219-1224
    • Dellacherie, S.1
  • 21
    • 84941465845 scopus 로고
    • A lower bound for discrimination information in terms of variation
    • S. KULLBACK, A lower bound for discrimination information in terms of variation, IEEE Trans. Inform. Theory, 13 (1966), pp. 126-127.
    • (1966) IEEE Trans. Inform. Theory , vol.13 , pp. 126-127
    • Kullback, S.1
  • 22
    • 0032632377 scopus 로고    scopus 로고
    • Entropy production and the rate of convergence to equilibrium for the Fokker-Planck equation
    • G. TOSCANI, Entropy production and the rate of convergence to equilibrium for the Fokker-Planck equation, Quart. Appl. Math., 57 (1999), pp. 521-541.
    • (1999) Quart. Appl. Math. , vol.57 , pp. 521-541
    • Toscani, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.