Summary: Mixed Methods Using Standard Conforming Finite Elements
, Todd Arbogast2
, and Yunqing Huang3
Department of Mathematical Sciences, University of Nevada,
Las Vegas, Nevada, U.S.A.
Institute for Computational Engineering & Sciences, University of Texas, Austin,
Texas, U.S.A. Supported by National Science Foundation grant DMS-0713815.
Hunan Key Laboratory for Computation and Simulation in Science
and Engineering, Xiangtan University, P.R.China.
Supported by the NSFC for Distinguished Young Scholars (10625106)
and National Basic Research Program of China under the grant 2005CB321701.
June 26, 2008
Abstract. We investigate the mixed finite element method (MFEM) for solving a second order
elliptic problem with a lowest order term, as might arise in the simulation of single phase flow
in porous media. We find that traditional mixed finite element spaces are not necessary when a
positive lowest order (i.e., reaction) term is present. Hence we propose to use standard conforming