A Locally Conservative Eulerian-Lagrangian Finite Difference Method for a Parabolic Equation |
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Authors: | Jim Douglas Jr Chieh-Sen Huang |
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Institution: | (1) Department of Mathematics, Purdue University, West Lafayette, IN 47907-1395, USA;(2) Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 804, Taiwan |
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Abstract: | The object of this paper is to define a finite difference analogue of a locally conservative Eulerian—Lagrangian method based on mixed finite elements and to prove its convergence. The method is appropriate for convection-dominated diffusive processes; here, it will be considered in the case of a semilinear parabolic equation in a single space variable.This revised version was published online in October 2005 with corrections to the Cover Date. |
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Keywords: | Eulerian-Lagrangian method locally conservative parabolic equation finite difference method |
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