Results 21 to 30 of about 23,886 (254)
A Two-Scale Discretization Scheme for Mixed Variational Formulation of Eigenvalue Problems
Abstract and Applied Analysis, 2012 This paper discusses highly efficient discretization schemes for mixed variational formulation of eigenvalue problems. A new finite element two-scale discretization scheme is proposed by combining the mixed finite element method with the shifted-inverse ...
Yidu Yang +4 more
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Axioms, 2023 We consider two types of partial fractional differential equations in two dimensions with mixed fractional derivatives. Appropriate Lyapunov-type inequalities are proved, and applications to the certain eigenvalue problems are presented.
Tatiana Odzijewicz
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Nonlocal eigenvalue problems with variable exponent
Moroccan Journal of Pure and Applied Analysis, 2018 We consider the nonlocal eigenvalue problem of the following ...
Azroul Elhoussine, Shimi Mohammed
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Advanced Engineering Materials, EarlyView.This article presents a solver‐agnostic domain‐specific language (DSL) for computational structural mechanics that strengthens interoperability in virtual product development. Using a hierarchical data model, the DSL enables seamless exchange between diverse simulation tools and numerical methods.
Martin Rädel +3 more
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
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International Journal of Mathematics and Mathematical Sciences, 1979 We show in this paper that the sequence {max|uk|}, where the uk are the eigenfunctions of the problem Δu+λu=0 in D⊂Rn and u=0 on ∂D, is not bounded generally if one imposes the norm ∫Du2p(x)dx=1, p=(1),2,3,….
Yves Biollay
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Numerical Solutions of Quantum Mechanical Eigenvalue Problems
Frontiers in Physics, 2020 A large class of problems in quantum physics involve solution of the time independent Schrödinger equation in one or more space dimensions. These are boundary value problems, which in many cases only have solutions for specific (quantized) values of the ...
Asif Mushtaq +2 more
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Analyzing Electronic Excitations and Exciton Binding Energies in Y6 Films
Advanced Functional Materials, EarlyView.The Y6 molecule is used for increasing the efficiency of organic solar cells. The exciton binding energy is calculated for ensembles of Y6 molecules that are representative of the typically used films. The calculations show that the excitons typically spread out over many molecules.
Sahar Javaid Akram +2 more
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Results in Applied MathematicsThe differential operator eigenvalue problems often arise in the field of physics and engineering, such as solid band structure, electron orbitals of atoms or molecules, and quantum bound states.
Jiaoxia Huang, Yonghui Qin
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NON LINEAR EIGENVALUE PROBLEMS
Matemática Contemporânea, 2004 In this paper we consider generalized eigenvalue problems for a family of operators with a polynomial dependence on a complex parameter. This problem is equivalent to a genuine non self-adjoint operator. We discuss here existence of non trivial eigenstates for models coming from analytic theory of smoothness for P.D.E.
openaire +3 more sources