Registered Data

[CT106]

  • Session Time & Room
    • CT106 (1/1) : 5D @E605 [Chair: Ajit Patel]
  • Classification
    • CT106 (1/1) : Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M)

[00568] PRIMAL HYBRID METHOD FOR QUASILINEAR PARABOLIC PROBLEMS

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @E605
  • Type : Contributed Talk
  • Abstract : A second-order quasi-linear parabolic initial-boundary value problem is approximated by using primal hybrid finite element method and Lagrange multipliers. Semidiscrete 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 quasilinear case using primal hybrid method. Finally, the results on numerical experiments confirm our theoretical findings.
  • Classification : 65M60
  • Format : Talk at Waseda University
  • Author(s) :
    • Ajit Patel (The LNM Institute of Information Technology)
    • Ravina Shokeen (The LNM Institute of Information Technology)
    • Amiya Kumar Pani (Birla Institute of Technology & Science, Pilani)

[01135] Computational framework for design, optimization, and control of sintering process

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @E605
  • Type : Contributed Talk
  • Abstract : Optimization and control of sintering, which is governed by macroscopic coupled electro-thermo-mechanical model, is critical for additive manufacturing. To reduce time in making process design decisions, we present a hybridized model-based and data-driven computational framework. In particular, we demonstrate an inverse estimation strategy combining offline-online efficient data assimilation and surrogate modeling. We test the performance of the proposed method in accelerating the estimation of sintering process parameters and hard-to-measure material properties like viscosity.
  • Classification : 65M32, 65F55, 74H15, 60-08, 74D99
  • Author(s) :
    • Rahul Dhopeshwar (TU Eindhoven)
    • Harshit Bansal (TU Eindhoven)
    • Karen Veroy (TU Eindhoven)

[00494] A two-grid discontinuous Galerkin method to nonlinear time-fractional diffusion equations

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @E605
  • Type : Contributed Talk
  • Abstract : A two-grid algorithm for discontinuous Galerkin method is proposed for nonlinear time-fractional diffusion initial-boundary-value problems. The numerical scheme consists of DG method for the spatial derivatives and L1-scheme for time stepping. Error estimate for the proposed scheme is obtained. The numerical experiments are presented to prove the efficiency of our algorithm.
  • Classification : 65M60, 65M15
  • Author(s) :
    • SANDIP MAJI (Indian Institute of Technology Guwahati)
    • Natesan Srinivasan (Indian Institute of Technology Guwahati)