@Article{IJNAMB-4-299, author = {SON-YOUNG YI AND JIM DOUGLAS, JR.}, title = {An Experimental Study of Several Multidimensional, Locally Conservative, Eulerian-Lagrangian Finite }, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2013}, volume = {4}, number = {3}, pages = {299--314}, abstract = {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.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/259.html} }