Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods
This paper deals with the nonconforming spectral approximation of variationally posed eigenvalue problems. It is an extension to more general situations of known previous results about nonconforming methods. As an application of the present theory, convergence and optimal order error estimates are p...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2009 |
| Country: | Argentina |
| Institution: | Universidad Nacional de La Plata |
| Repository: | SEDICI (UNLP) |
| Language: | English |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/82743 |
| Online Access: | http://sedici.unlp.edu.ar/handle/10915/82743 |
| Access Level: | Open access |
| Keyword: | Ciencias Exactas Eigenvalue problems Nonconforming methods Spectral approximation Steklov eigenvalue problem |
| Summary: | This paper deals with the nonconforming spectral approximation of variationally posed eigenvalue problems. It is an extension to more general situations of known previous results about nonconforming methods. As an application of the present theory, convergence and optimal order error estimates are proved for the lowest order Crouzeix-Raviart approximation of the eigenpairs of two representative second-order elliptical operators. |
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