دانشگاه تبریز
فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

 آمار

تعداد نشریات45
تعداد شماره‌ها1,414
تعداد مقالات17,372
تعداد مشاهده مقاله56,020,728
تعداد دریافت فایل اصل مقاله18,243,142
Rachid, Anas, Bahaj, Mohamed, Fakhar, Rachid. (1400). Finite volume element approximation for time dependent convection diffusion reaction equations with memory. سامانه مدیریت نشریات علمی, 9(4), 977-1000. doi: 10.22034/cmde.2020.30193.1447
Anas Rachid; Mohamed Bahaj; Rachid Fakhar. "Finite volume element approximation for time dependent convection diffusion reaction equations with memory". سامانه مدیریت نشریات علمی, 9, 4, 1400, 977-1000. doi: 10.22034/cmde.2020.30193.1447
Rachid, Anas, Bahaj, Mohamed, Fakhar, Rachid. (1400). 'Finite volume element approximation for time dependent convection diffusion reaction equations with memory', سامانه مدیریت نشریات علمی, 9(4), pp. 977-1000. doi: 10.22034/cmde.2020.30193.1447
Rachid, Anas, Bahaj, Mohamed, Fakhar, Rachid. Finite volume element approximation for time dependent convection diffusion reaction equations with memory. سامانه مدیریت نشریات علمی, 1400; 9(4): 977-1000. doi: 10.22034/cmde.2020.30193.1447

Finite volume element approximation for time dependent convection diffusion reaction equations with memory

Computational Methods for Differential Equations
مقاله 4، دوره 9، شماره 4، دی 2021، صفحه 977-1000    اصل مقاله (238 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.30193.1447
نویسندگان
Anas Rachid* 1، 2؛ Mohamed Bahaj3؛ Rachid Fakhar4
1Laboratoire LMA,ENS de Casablanca, Hassan II university of Casablanca, B.P 50069, Ghandi Casablanca, Morocco.
2ENSAM de Casablanca, Hassan II University of Casablanca, Casablanca, Morocco.
3Faculty of Sciences and Technology, University Hassan 1st, Settat, Morocco
4Laboratoire LS3M, Universit Hassan 1st, 25000 Khouribga, Morocco.
چکیده
Error estimates for element schemes for time-dependent for convection-diffusion-reaction equations with memory are derived and stated. For the spatially discrete scheme, optimal order error estimates in L2 , H1 , and W1,p norms for 2 ≤ p < ∞, are obtained. In this paper, we also study the lumped mass modification. Based on the Crank-Nicolson method, a time discretization scheme is discussed and related error estimates are derived.
کلیدواژه‌ها
Finite volume method؛ Crank-Nicolson method؛ Parabolic integrodifferential equation؛ Full discrete scheme؛ Error estimates
مراجع
  • [1]   M. Bahaj and A. Rachid, On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations, Journal of Mathematics, (2013), Article ID 464893.
  • [2]   M. Berggren, A vertex-centered, dual discontinuous Galerkin method, J. Comput. Appl. Math., 192 (2006), 175-181.
  • [3]   Z. Cai, On the finite volume method, Numer. Math, 58 (1991), 713–735.
  • [4]   P. Chatzipantelidies, A finite volume method based on the Crouziex–Raviart element for elliptic PDE’s in two dimension, Numer. Math, 82 (1999), 409–432.
  • [5]   P. Chatzipantelidis, Finite volume methods for elliptic PDE’s: A new approach, Mathematical modelling and Numerical Analysis, 36 (2002), 307-324.
  • [6]   P. Chatzipantelidis, R.D. Lazarov, and V. Thom´ee, Error  estimate  for  a  finite  volume  element method for parabolic equations in convex polygonal domains, Numer. Meth. PDEs, 20 (2004), 650–674.
  • [7]   C. Chen and T. Shih, Finite element methods for integrodifferential equations, world Scientific Singapore, 1997.
  • [8]   S. H. Chou, Analysis and convergence of a covolume method for the generalized Stokes problem, Math. Comp, 66 (1997), 85–104.
  • [9]   S. H. Chou, D. Y. Kwak, Analysis and convergence of the MAC scheme for the generalized Stokes problem, Numer.Meth.PDEs, 13 (1997), 147–162.
  • [10] S. H. Chou, D. Y. Kwak, Multigrid algorithms for a vertex-centered covolume method for elliptic problems. Numer. Math, 90 (2002), 441-458.
  • [11] S. H. Chou, D. Y. Kwak, and Q. Li , Lp error estimates and superconvergence for covolume or finite volume element methods, Numer. Methods PDEs, 19 (2002), 463-486.
  • [12] R. E. Ewing, R. D. Lazarov, and Y. Lin, Finite Volume element approximations of nonlocal in time one-dimensional flows in porous media, Computing, 64 (2000), 157-182.
  • [13] R. E. Ewing, R. D. Lazarov, and Y. Lin, Finite Volume element approximations of nonlocal reactive flows in porous media, Numer. Methods Partial Differential Equations, 16  (2000),  285- 311.
  • [14] R. E. Ewing, T. Lin, and Y. Lin, On the accuracy of the  finite  Volume  element  method  based  on piecewise linear polynomials, SIAM J. Numer. Anal, 39 (2002), 1865-1888.
  • [15] R.  Eymard,  T.  Gallou¨et,  and  R.  Herbin,  Finite  Volume  Methods:   Handbook  of  Numerical Analysis, North-Holland, Amsterdam, 2000.
  • [16] R. D. Lazarov and S. Z. Tomov, Adaptive finite volume element method for convection-diffusion- reaction problems in 3-D, in Scientific Computing and Application, Advances in Computation Theory and Practice NOVA Science Publ., Inc New York, 7 (2001), 91-106.
  • [17] H. Jianguo and X. Shitong, on the finite volume element method for general self-adjoint elliptic problems, SIAM J. Numer. Anal, 35 (1998), 1762-1774.
  • [18] Y.  Lin,  V.  Thom´e,  and  L.  B  Wahlbin,  Ritz-Volterra  projections  to  finite  element  spaces  and applications to integro-differential and related equations, SIAM J. Numer. Anal, 28 (1991), 1047-1070.
  • [19] X. Ma, S. Shu, and A Zhou, symmetric finite volume discretizations for parabolic problems, Comput. Methods Appl. Mech. engrg, 192 (2003), 4467-4485.
  • [20] I. D. Mishev, Finite volume and finite volume element methods for non-symmetric problems, Texas A&M Univ, Ph.D. Thesis, 1997, Tech Rept ISC-96-04-MATH.
  • [21] R. K. Sinha and J. Geiser, Error estimates for finite volume element methods for convection- diffusion-reaction equations, Appl. num Math, 57 (2007), 59-72.
  • [22] V. Thom´ee, Galerkin  finite  element  methods  for  parabolic  problems, (Springer series computa- tional mathematics), Springer Verlag New York, Inc., Secaucus, NJ, 2006.
  • [23] V. R. Voller, Basic Control Volume Finite Element Methods For Fluids And Solids, World Scientific, 2009.
آمار
تعداد مشاهده مقاله: 821
تعداد دریافت فایل اصل مقاله: 728


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب