%0 Generic
%9 ['eprint_fieldopt_thesis_type_Master' not defined]
%A Mehta, Saurabh
%C Heidelberg, Germany
%D 2018
%F heidok:24230
%R 10.11588/heidok.00024230
%T Matrix Free approach for Raviart-Thomas anisotropic Tensor Product Finite Elements
%U https://archiv.ub.uni-heidelberg.de/volltextserver/24230/
%X In this thesis, we develop techniques for fast, efficient cell based operator evaluation of Raviart-Thomas finite elements and thereby extend the existing implementation of matrix free framework in deal.ii. The extensions allow the framework to also support anisotropic vector-valued finite elements in addition to existing isotropic Lagrangian finite elements. Tests on finite element operators in divergence conforming spaces for Mixed diffusion equation and Stokes equations show that the method is sufficiently accurate (relative error 10e-16) and for RT2 is already twice as fast as corresponding sparse matrix based solution.