Spectral properties of non-local uniformly-elliptic operators.
Davidson, Fordyce A., Dodds, Niall (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Davidson, Fordyce A., Dodds, Niall (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Gălăţan, Alin, Lupu, Cezar, Preda, Felician (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Andrey Andreev, Milena Racheva (2014)
Applications of Mathematics
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This article presents an idea in the finite element methods (FEMs) for obtaining two-sided bounds of exact eigenvalues. This approach is based on the combination of nonconforming methods giving lower bounds of the eigenvalues and a postprocessing technique using conforming finite elements. Our results hold for the second and fourth-order problems defined on two-dimensional domains. First, we list analytic and experimental results concerning triangular and rectangular nonconforming elements...
Khelifi, Abdessatar (2005)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 35J05, 35C15, 44P05 In this paper, we consider the variations of eigenvalues and eigenfunctions for the Laplace operator with homogeneous Dirichlet boundary conditions under deformation of the underlying domain of definition. We derive recursive formulas for the Taylor coefficients of the eigenvalues as functions of the shape-perturbation parameter and we establish the existence of a set of eigenfunctions that is jointly holomorphic...
Xuan, Benjin (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Davidson, F. A., Dodds, N.
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Flaut, Cristina (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Caliceti, Emanuela, Cannata, Francesco, Graffi, Sandro (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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