A two-grid discretization scheme for the Steklov eigenvalue problem |
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Authors: | Qin Li Yidu Yang |
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Affiliation: | 1. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, 550001, China
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Abstract: | In the paper, a two-grid discretization scheme is discussed for the Steklov eigenvalue problem. With the scheme, the solution of the Steklov eigenvalue problem on a fine grid is reduced to the solution of the Steklov eigenvalue problem on a much coarser grid and the solution of a linear algebraic system on the fine grid. Using spectral approximation theory, it is shown theoretically that the two-scale scheme is efficient and the approximate solution obtained by the scheme maintains the asymptotically optimal accuracy. Finally, numerical experiments are carried out to confirm the considered theory. |
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