Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 19, Issue 5, Pages 721-747Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202509003590
Keywords
Eigenvalue problems; adaptivity; finite elements; convergence
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Funding
- CONICET (Argentina) [PIP 5478]
- Universidad Nacional del Litoral [CAI+D 12/H421]
- Universidad Nacional de San Luis [22/F730-FCFMyN]
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In this paper we prove convergence of adaptive finite element methods for second-order elliptic eigenvalue problems. We consider Lagrange finite elements of any degree and prove convergence for simple as well as multiple eigenvalues under a minimal refinement of marked elements, for all reasonable marking strategies, and starting from any initial triangulation.
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