An expanded mixed covolume method for sobolev equation with convection term on triangular grids |
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Authors: | Zhichao Fang Hong Li |
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Institution: | School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China |
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Abstract: | The expanded mixed covolume method for the two‐dimensional Sobolev equation with convection term is developed and studied. This method uses the lowest‐order Raviart‐Thomas mixed finite element space as the trial function space. By introducing a transfer operator γh which maps the trial function space into the test function space and combining expanded mixed finite element with mixed covolume method, the continuous‐in‐time, discrete‐in‐time expanded mixed covolume schemes are constructed, and optimal error estimates for these schemes are obtained. Numerical results are given to examine the validity and effectiveness of the proposed schemes.© 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013 |
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Keywords: | Sobolev equation mixed covolume method expanded mixed covolume method Raviart‐Thomas spaces optimal error estimate |
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