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A shape optimization problem for steklov eigenvalues in oscillating domains
(EDP Sciences, 2017-04)
In this paper we study the asymptotic behavior of some optimal design problems related to nonlinear Steklov eigenvalues, under irregular (but diffeomorphic) perturbations of the domain.
An Efficient Galerkin BEM to Compute High Acoustic Eigenfrequencies
(ASME-AMER SOC MECHANICAL ENG, 2009)
An efficient numerical method, using integral equations, is developed to calculate precisely the acoustic eigenfrequencies and their associated eigenvectors, located in a given high frequency interval. It is currently known ...
A posteriori error analysis for nonconforming approximation of multiple eigenvalues
(Wiley, 2017-01)
In this paper, we study an a posteriori error indicator introduced in E. Dari, R.G. Durán, and C. Padra, Appl. Numer. Math., 2012, for the approximation of the Laplace eigenvalue problem with Crouzeix–Raviart nonconforming ...
Eigenvalues for systems of fractional p-Laplacians
(Rocky Mt Math Consortium, 2018-12)
We study the eigenvalue problem for a system of fractional p-Laplacians, that is, (-Δp)ru=λαp|u|α-2u|v|β(-Δp)sv=λβp|u|α|v|β-2vu=v=0in Ω,in Ω,in Ωc=RNΩ. We show that there is a first (smallest) eigenvalue that is simple and ...
The limit as p→ ∞ in the eigenvalue problem for a system of p-Laplacians
(Springer Heidelberg, 2016-10)
In this paper, we study the behavior as p→ ∞ of eigenvalues and eigenfunctions of a system of p-Laplacians, that is (Formula presented.) in a bounded smooth domain Ω. Here α+ β= p. We assume that α/p→Γ and β/p→1-Γ as p→ ∞ ...
Solving an abstract nonlinear eigenvalue problem by the inverse iteration method
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAUFMG, 2018-09)
Sejam (X, ‖ · ‖X) e (Y, ‖ · ‖ Y) espaços de Banach sobre R, com X uniformemente convexo e compactamente embutido em Y. O método de iteração inversa é aplicado para resolver o problema de autovalor abstrato A (w) = λ ‖ w ‖ ...
Finite Element Approximation for the Fractional Eigenvalue Problem
(Springer/Plenum Publishers, 2018-10)
The purpose of this work is to study a finite element method for finding solutions to the eigenvalue problem for the fractional Laplacian. We prove that the discrete eigenvalue problem converges to the continuous one and ...
A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem
(Elsevier Science, 2014-10)
In this paper we obtain a priori and a posteriori error estimates for stabilized low-order mixed finite element methods for the Stokes eigenvalue problem. We prove the convergence of the method and a priori error estimates ...
Eigenvalues for a nonlocal pseudo p-Laplacian
(American Institute of Mathematical Sciences, 2016-12)
In this paper we study the eigenvalue problems for a nonlocal operator of order s that is analogous to the local pseudo p-Laplacian. We show that there is a sequence of eigenvalues λn→ ∞and that the first one is positive, ...