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Least-squares Galerkin procedures for parabolic integro-differential equations |
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| Authors: | Hui Guo Hongxing Rui |
| Institution: | Department of Mathematics, School of Mathematics and System Science, Shandong University, Jinan 250100, China |
| Abstract: | Two least-squares Galerkin finite element schemes are formulated to solve parabolic integro-differential equations. The advantage of this method is that it is not subject to the LBB condition. The convergence analysis shows that the least-squares mixed element schemes yield the approximate solution with optimal accuracy in H(div;Ω)×H1(Ω) and (L2(Ω))2×L2(Ω), respectively. |
| Keywords: | Author Keywords: Least-squares Galerkin finite element Parabolic integro-differential equation Convergence analysis |
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