Volume 11 (2021)
Volume 10 (2020)
Volume 9 (2019)
Volume 8 (2018)
Volume 7 (2017)
Volume 6 (2016)
Volume 5 (2015)
Volume 4 (2014)
Volume 3 (2013)
Volume 2 (2012)
Volume 1 (2011)
Finite Elements Method (FEM)
1. A new positive definite semi-discrete mixed finite element solution for parabolic equations

Zuliang Lu*

Volume 2, Issue 1 , Summer and Autumn 2012, , Pages 25-30

http://dx.doi.org/10.22061/jcarme.2012.40

Abstract
  In this paper, a positive definite semi-discrete mixed finite element method was presented for two-dimensional parabolic equations. In the new positive definite systems, the gradient equation and flux equations were separated from their scalar unknown equations.  Also, the existence and uniqueness ...  Read More

Control
2. Variational discretization and mixed methods for semilinear parabolic optimal control problems with integral constraint

Zuliang Lu*

Volume 1, Issue 1 , Summer and Autumn 2011, , Pages 29-36

http://dx.doi.org/10.22061/jcarme.2011.1

Abstract
  The aim of this work is to investigate the variational discretization and mixed finite element methods for optimal control problem governed by semi linear parabolic equations with integral constraint. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces ...  Read More