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The multigrid discretization of mixed discontinuous Galerkin method for the biharmonic eigenvalue problem.
- Source :
-
Mathematical Methods in the Applied Sciences . Sep2024, p1. 20p. 3 Illustrations. - Publication Year :
- 2024
-
Abstract
- The Ciarlet–Raviart mixed method is popular for the biharmonic equations/eigenvalue problem. In this paper, we propose a multigrid discretization based on the shifted‐inverse iteration of Ciarlet–Raviart mixed discontinuous Galerkin method for the biharmonic eigenvalue problem. We prove the a priori error estimates of the approximate eigenpairs. We also give the a posteriori error estimates of the approximate eigenvalues and prove the reliability of the estimator and implement adaptive computation. Numerical experiments show that our method can efficiently compute biharmonic eigenvalues. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BIHARMONIC equations
*GALERKIN methods
*DISCRETIZATION methods
*A priori
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 179451318
- Full Text :
- https://doi.org/10.1002/mma.10455