Multigrid methods for the symmetric interior penalty method on graded meshes |
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| Authors: | S C Brenner J Cui L‐Y Sung |
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| Institution: | 1. Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, LA 70803, U.S.A.;2. Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, U.S.A. |
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| Abstract: | The symmetric interior penalty (SIP) method on graded meshes and its fast solution by multigrid methods are studied in this paper. We obtain quasi‐optimal error estimates in both the energy norm and the L2 norm for the SIP method, and prove uniform convergence of the W‐cycle multigrid algorithm for the resulting discrete problem. The performance of these methods is illustrated by numerical results. Copyright © 2009 John Wiley & Sons, Ltd. |
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| Keywords: | symmetric interior penalty method graded meshes multigrid |
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