Comparison of Asymptotic and Numerical Approaches to the Study of the Resonant Tunneling in Two-Dimensional Symmetric Quantum Waveguides of Variable Cross-Sections
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-04263-4
Abstract: The waveguide considered coincides with a strip having two narrows of width ε. An electron wave function satisfies the Dirichlet boundary value problem for the Helmholtz equation. The part of the waveguide between the narrows… read more here.
Keywords: numerical approaches; asymptotic numerical; resonant tunneling; waveguides variable ... See more keywords
An Asymptotic-Numerical Method for a Class of Weakly Coupled System of Singularly Perturbed Convection-Diffusion Equations
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DOI: 10.1080/01630563.2019.1615946
Abstract: Abstract A weakly coupled convection dominated system of m-equations is analyzed. A higher order accurate asymptotic-numerical method is presented. The solutions of convection dominated problem are known to exhibit multi-scale character. There exist narrow region… read more here.
Keywords: system; convection; method; solution ... See more keywords
Hierarchical beam finite elements for geometrically nonlinear analysis coupled with Asymptotic Numerical Method
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DOI: 10.1080/15376494.2020.1743898
Abstract: This paper couples the Carrera's Unified Formulation (CUF) with the Asymptotic Numerical Method (ANM) for investigating geometrically nonlinear behaviors of beam structures. On the basis of CUF, a ... read more here.
Keywords: numerical method; beam finite; hierarchical beam; geometrically nonlinear ... See more keywords