In this paper, we explore some properties of a Markov finite element approximation on a shape-regular triangulation over a polygonal region ⊂ R N . In order to find a fixed density of a Markov operator P : L 1 ( ) → L 1 ( ) efficiently, we propose and analyse a finite element scheme for approximating P , which preserves the Markov structure of the operator.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.