|Date:||Tue, December 6, 2016|
|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.