Mixed covolume method for parabolic problems on triangular grids |
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| Authors: | Suxiang Yang Ziwen Jiang |
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| Affiliation: | aSchool of Statistics and Mathematics, Shandong Economic University, Jinan 250014, China;bSchool of Mathematical Sciences, Shandong Normal University, Jinan 250014, China |
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| Abstract: | In this paper, we present a mixed covolume method for parabolic equations on triangular grids. This method use the lowest order Raviart–Thomas (R–T) mixed finite element space as the trial space. We prove the optimal order of convergence for the approximate pressure and velocity in L2-norm. Furthermore, we obtain the quasi-optimal error estimates for the approximate pressure in L∞-norm. |
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| Keywords: | Parabolic problems Mixed covolume method Generalized mixed covolume elliptic projection Optimal error estimates |
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