In this paper we investigate the L∞-stability of fully discrete approximations of abstract linear parabolic partial differential equations (PDEs). The method under consideration is based on an hp-type ...
SIAM Journal on Numerical Analysis, Vol. 54, No. 5 (2016), pp. 2750-2774 (25 pages) We consider robust iterative methods for discontinuous Galerkin (DG) H(div, Ω)-conforming discretizations of the ...
Discontinuous Petrov-Galerkin (DPG) methods have emerged as a robust class of finite element techniques designed to enhance stability and accuracy in numerical simulations. By employing discontinuous ...