Modifying Finite Elements to use the Computational Efficiency of Diagonally Implicit Runge-Kutta Methods.
First I will show how using full space time finite elements to solve a parabolic PDE is mathematically similar to solving by fully implicit Runge Kutta methods. Having made this comparison, I will propose a new method that uses diagonally implicit Runge Kutta methods. I would like to prove that the new method retains the advantages of space time finite elements while reducing the computational complexity. Simulation results with error estimates will be shown that support this claim.
Tuesday, March 2, 2010
11:00AM AP&M 2402
Center for Computational Mathematics9500 Gilman Dr. #0112La Jolla, CA 92093-0112Tel: (858)534-9056