Least squares method for a nonlinear Stokes problem in glaciology
Eunjung Lee
Department of Computational Science and Engineering, Yonsei University
Date and time:
Tuesday, October 13, 2015 - 11:00am
Location:
GRVW 105
Abstract:
In this paper, we analyze the nonlinear Stokes equations which is appeared in glaciology problems with least-squares finite element method. The modified Picard iteration is used to linearize the given nonlinear problem. We first establish minimization problem which finds minimizer of residual functional in corresponding Sobolev spaces and prove theoretical results. From numerical experiments, we find an approximation of weak solution and verify the error estimates.