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Archive : Numerical Analysis and PDE

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Yangwen Zhang, University of DelawareYangwen Zhang, University of DelawareZoomTitle: Dirichlet boundary control of Stokes flow <br> Abstract: In this talk, we propose numerical methods for a Dirichlet boundary control problem for the Stokes equation. We obtain well-posedness and regularity results for the Dirichlet control problem, and we prove optimal a priori error estimates for the control. Moreover, we present numerical experiments to demonstrate the performance of the numerical methods and illustrate our numerical analysis results. 9/18/2020 3:00:00 PM9/18/2020 4:00:00 PMFalse
Dr. Qingguo Hong, Pennsylvania State UniversityDr. Qingguo Hong, Pennsylvania State UniversityEWG336Title: Parameter-robust iterative methods for Biot and multiple-permeability poroelasticity systems. <br><br> Abstract:In this talk, we consider the flux-based Biot and multiple-permeability poroelasticity systems describing multiple-network flow and deformation in a poro-elastic medium, also referred to as MPET models. The focus of the talk is on the convergence analysis of some iterative methods for the MPET models. These iterative methods include a commonly used fixed-stress split methods and the novelly designed Uzawa type methods. We prove the linear convergence of these fixed-point iteration and show that the contraction rates of these iterative methods do not depend on any of the physical parameters appearing in the models. These results are confirmed by numerical results. 3/13/2020 2:00:00 PM3/13/2020 3:00:00 PMFalse
Dr. Yuwen Li, Pennsylvania State university Dr. Yuwen Li, Pennsylvania State universityEWG336Title:A posteriori error and convergence analysis of adaptive mixed methods <br><br> Abstract: Many physical models are naturally derived as critical points of variational principles, which could be numerically solved by mixed finite element methods. On the other hand, adaptivity is indispensable for achieving the optimal computational complexity of numerical methods in general. <br> In this talk, first I will illustrate several basic ingredients in adaptive mixed finite element methods (AMFEMs) using the simple Poisson's equation in the mixed form. Then I will discuss AMFEMs for more complicated problems including the Stokes, Maxwell, Hodge Laplace equations, linear elasticity, heat/Darcy's flow, Biot's consolidation model, etc. 3/6/2020 3:00:00 PM3/6/2020 4:00:00 PMFalse
TALK CANCELLED TO BE RESCHEDULED Dr. Jennifer Ryan, Colorado School of MinesTALK CANCELLED TO BE RESCHEDULED Dr. Jennifer Ryan, Colorado School of MinesEWG336TALK CANCELLED TO BE RESCHEDULED 2/28/2020 3:00:00 PM2/28/2020 4:00:00 PMFalse

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  • Department of Mathematical Sciences
  • University of Delaware
  • 501 Ewing Hall
  • Newark, DE 19716, USA
  • Phone: 302-831-2653