Speaker
Description
Newly developed weak Galerkin (WG) finite element methods will be introduced for solving partial differential equations on polygonal mesh.
The weak Galerkin method is a natural extension of the standard Galerkin finite element method for the function with discontinuity where classical derivatives are substituted by weakly defined derivatives. Therefore, the weak Galerkin methods have the flexibility of employing discontinuous elements and, at the same time, share the simple formulations of continuous finite element methods.
The purpose of this presentation is to introduce some new developments of the WG methods and their applications. A robust WG method will be presented for solving the Reissner-Mindlin plate problem with uniform convergence. Also a simple WG method will be introduced to solve for singularly perturbed convection-diffusion-reaction problems. A posteriori analysis with simple estimator for WG method will also be discussed.
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