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Dr. JaEun Ku, Oklahoma State University
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| Title: Solver-friendly hybrid mixed finite element methods |
| Abstract:
A new hybrid mixed finite element method to compute the flux variable
accurately and efficiently will be introduced. The method is a two–step method, based on a system of first-order equations for second-order elliptic partial differential equations. On a coarse mesh, the primary variable is approximated by a standard Galerkin method. Then, on a fine mesh, an H(div) projection is sought as an accurate approximation for the flux variable. The computation on a finer mesh can be carried out very efficiently using well developed preconditioners for the H(div) projection. Also, it will be shown that the mesh size h for the finer mesh can be taken as a square of the coarse meshsize H. This is a joint work with Dr. Young Ju Lee and Dr. Dongwoo Sheen. |
Spring 2022
Wed, Feb 19 at 11:00am in the conference room
Categories: Spring 2022
Friday, Nov 15 at 3:00pm in the conference room
Categories: Spring 2022
| Xiaoyu Fu, Sichuan University, China |
| Title: A unified treatment for controllability and observability of PDEs and its application |
| Abstract:
The purpose of this talk is to present a unified treatment on controllability/observability problems for PDEs. The starting point is some fundamental weighted identities for partial differential operators, via which one can derive suitable global Carleman estimates. Meanwhile, based on this weighted identity, we will give its application in the stability of inverse acoustic wave problems.
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