Structure Preserving Finite Element Approximations of Markov Operators

Authors

Jiu Ding, University of Southern MississippiFollow
Aihui Zhou, Chinese Academy of SciencesFollow

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⊂R^N. 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

Recommended Citation

Ding, J., Zhou, A. (2002). Structure Preserving Finite Element Approximations of Markov Operators. Nonlinearity, 15(3), 923-936.
Available at: https://aquila.usm.edu/fac_pubs/3615