CAS Seminar

G÷kce Tuba Masur

(Jacobs University)

"An adaptive surface finite element method for the Laplace-Beltrami equation"


Date: Tue, December 6, 2016
Time: 11:15
Place: Research I Seminar Room

Abstract: We present an adaptive surface finite element method for the Laplace-Beltrami equation. The equation is known as the manifold equivalence of the Laplace equation. A surface finite element method is formulated for this partial differential equation which is implemented in FEniCS, an open source software project for automated solutions of differential equations. We formulate a goal-oriented adaptive mesh refinement method based on a posteriori error estimates which are established with the dual-weighted residual method. Some computational examples are provided and implementation issues are discussed.