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Two new least-squares mixed finite element procedures for convection-dominated Sobolev equations |
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| Authors: | Jian-song Zhang Dan-ping Yang Jiang Zhu |
| Institution: | [1]Department of Computational and Applied Mathematics, China Universityof Petroleum, Tsingdao 266555, China. [2]Department of Mathematics, East China Normal University, Shanghai 200062, China. [3]Laborat6rio Nacional de Computcao Cientifica, 25651-075 Petropolis, R J, Brazil. |
| Abstract: | Two new least-squares mixed finite element procedures are formulated for solving convection-dominated Sobolev equations. Optimal H(div;Ω)×H 1(Ω) norms error estimates are derived under the standard mixed finite spaces. Moreover, these two schemes provide the approximate solutions with first-order and second-order accuracy in time increment, respectively. |
| Keywords: | Least-square mixed finite element convection-dominated Sobolev equation convergence analysis |
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