TY - JOUR
T1 - An Experimental Study of Several Multidimensional, Locally Conservative, Eulerian-Lagrangian Finite 
AU - SON-YOUNG YI AND JIM DOUGLAS, JR.
JO - International Journal of Numerical Analysis Modeling Series B
VL - 3
SP - 299
EP - 314
PY - 2013
DA - 2013/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/259.html
KW - locally conservative
KW - Eulerian-Lagrangian
KW - semilinear parabolic equation
KW - finite element method
AB - This paper is an experimental continuation of [7], where we presented one realization of a locally-conservative Eulerian-Lagrangian finite element method (LCELM) for a semilinear
parabolic equation and proved an optimal convergence rate. In this paper, we present two higher-
order extensions of the method of [7], along with one lower-order procedure. We show some
numerical results to illustrate the accuracy and efficiency of the LCELM procedures. Optimal
convergence rates for each method will be presented.