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[01923] Primal hybrid method for quasi-linear parabolic problems

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @E703
  • Type : Contributed Talk
  • Abstract : In this article, a second order quasi-linear parabolic initial-boundary value problem is approximated by using primal hybrid finite element method and Lagrange multipliers. Semi-discrete and backward Euler based fully discrete schemes are discussed and optimal order error estimates are established by applying modified elliptic projection. Optimal order error estimates in maximum norm are also derived. Earlier results on maximum-norm superconvergence of the gradient in piecewise linear finite-element approximations of elliptic and parabolic problems are now carried over to quasi-linear case using primal hybrid method. Finally, the results on numerical experiments confirm our theoretical findings.
  • Classification : 65M60
  • Author(s) :
    • RAVINA SHOKEEN (The LNM Institute of Information Technology)
    • Ajit Patel (The LNM Institute of Information Technology)
    • Amiya Kumar Pani (BITS Goa)