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Volume 4, Issue 3
An Experimental Study of Several Multidimensional, Locally Conservative, Eulerian-Lagrangian Finite

SON-YOUNG YI AND JIM DOUGLAS, JR.

Int. J. Numer. Anal. Mod. B, 4 (2013), pp. 299-314

Published online: 2013-04

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  • 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.
  • Keywords

locally conservative Eulerian-Lagrangian semilinear parabolic equation finite element method

  • AMS Subject Headings

65M12 65M25 76S05

  • Copyright

COPYRIGHT: © Global Science Press

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@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} }
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.
SON-YOUNG YI AND JIM DOUGLAS, JR.. (2013). An Experimental Study of Several Multidimensional, Locally Conservative, Eulerian-Lagrangian Finite . International Journal of Numerical Analysis Modeling Series B. 4 (3). 299-314. doi:
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