Title

Structure Preserving Finite Element Approximations of Markov Operators

Document Type

Article

Publication Date

5-1-2002

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

In this paper, we explore some properties of a Markov finite element approximation on a shape-regular triangulation over a polygonal region Ω⊂RN. In order to find a fixed density of a Markov operator P:L1(Ω)→L1(Ω) efficiently, we propose and analyse a finite element scheme for approximating P, which preserves the Markov structure of the operator.

Publication Title

Nonlinearity

Volume

15

Issue

3

First Page

923

Last Page

936

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