An Abstract Framework for the Convergence of Adaptive Finite Element Methods
Finite element methods are numerical methods that approximate solutions to
PDEs using piecewise polynomials on a mesh representing the problem
domain. Adaptive finite element methods are a class of finite element
methods that selectively refine specific elements in the mesh based on
their predicted error. In order to establish the viability of an AFEM, it
is essential to know whether or not that method can be proven to converge.
In this talk I will present a general framework that would establish
convergence for an AFEM and apply the framework to specific problems.
Tuesday, May 24, 2016
11:00AM AP&M 2402
Center for Computational Mathematics9500 Gilman Dr. #0112La Jolla, CA 92093-0112Tel: (858)534-9813