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An adaptive mesh redistribution algorithm for convection-dominated problems
Convection-dominated problems are of practical applications
and in general may require extremely fine meshes over a small portion of
the physical domain. In this work an efficient adaptive mesh redistribution
(AMR) algorithm
will be developed for solving one- and two-dimensional
convection-dominated problems. Several test problems are computed by
using the proposed algorithm. The adaptive mesh results are compared
with those obtained with uniform meshes to demonstrate the effectiveness
and robustness of the proposed algorithm.