quasi-linear convection-dominated transport problem based on characteristics-mixed finite element method

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ID: 220794
2013
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Abstract
We propose the characteristics-mixed method for approximating the solution to a convection-dominated transport problem. The new method is a combination of characteristic approximation to handle the convection part in time and a mixed finite element spatial approximation to deal with the diffusion part. Boundary conditions are incorporated in a natural fashion. The scheme is locally conservative since fluid is transported along the approximate characteristics on the discrete level and the test function can be piecewise constant. Analysis shows that the scheme has much smaller time-truncation errors than those of standard methods.
Reference Key
zhao2013discretequasi-linear Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Peixin Zhao;Hongying Man
Journal Journal of the American Heart Association
Year 2013
DOI
10.1155/2013/264025
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