PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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Title:High Order Nitsche Extended FEM for Solving Interface Problem
Seminar:CCMA PDEs and Numerical Methods Seminar Series
Speaker:Fei Wang, Penn State
Abstract Link:http://personal.psu.edu/fuw7/
Abstract:
Multi-physics problems is an very active research field recently. The most difficult part is how to couple different systems, which means that we have to deal with the interface, which separates two phases of matter, each may be solid, liquid, or gaseous. The standard finite element cannot achieve the optimal convergence order due to lack of resolution for the interface. The interface-fitted mesh can conquer this difficulty, but if the problem is time-dependent, the domain need to be re-meshed each time step, which introduces interpolation error between two meshes. The extended finite element method (XFEM), which extends the classical finite element method by enriching the solution space locally around the interface with discontinuous functions, has shown its potential in a variety of applications that involve non-smooth solutions near interface. In this talk, we will discuss about using quadratic XFEM with Nitsche scheme to solve elliptic interface problem, and try to prove the optimal convergence order.

Room Reservation Information

Room Number:MB315
Date:09 / 26 / 2014
Time:03:30pm - 05:00pm