Finite Element Method Linear Triangular Element for Solving Nanoscale InAs⁄GaAs Quantum Ring Structures
نویسندگان
چکیده
منابع مشابه
B-Spline Finite Element Method for Solving Linear System of Second-Order Boundary Value Problems
In this paper, we solve a linear system of second-order boundary value problems by using the quadratic B-spline nite el- ement method (FEM). The performance of the method is tested on one model problem. Comparisons are made with both the analyti- cal solution and some recent results.The obtained numerical results show that the method is ecient.
متن کاملTriangular Elements in the Finite Element Method
For a plane polygonal domain Q and a corresponding (general) triangulation we define classes of functions pmix, v) which are polynomials on each triangle and which are in C^'CQ) and also belong to the Sobolev space ^""^'(n). Approximation theoretic properties are proved concerning these functions. These results are then applied to the approximate solution of arbitrary-order elliptic boundary va...
متن کاملGalerkin Finite Element Method and Finite Difference Method for Solving Convective Non-linear Equation
The fast progress has been observed in the development of numerical and analytical techniques for solving convection-diffusion and fluid mechanics problems. Here, a numerical approach, based in Galerkin Finite Element Method with Finite Difference Method is presented for the solution of a class of non-linear transient convection-diffusion problems. Using the analytical solutions and the L2 and ...
متن کاملFinite Element Method Solutions for Semi - linear
We compute general (non-radial) positive solutions of the semi-linear elliptic PDE u + u + u 5 = 0, in 3 space dimensions (where the nonlinearity is critical) using the Finite Element Method. We have overcome two fundamental diiculties in this approach. Firstly the convergence of the numerical solutions is very slow (on regular grids) and it is necessary to work with very ne meshes (10 6 nodes)...
متن کاملA Finite Element Method for Quantum Graphs
We study the numerical solution of boundary and initial value problems for differential equations posed on graphs or networks. The graphs of interest are quantum graphs, i.e., metric graphs endowed with a differential operator acting on functions defined on the graph’s edges with suitable side conditions. We describe and analyze the use of linear finite elements to discretize the spatial deriva...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Al-Mustansiriyah Journal of Science
سال: 2019
ISSN: 2521-3520,1814-635X
DOI: 10.23851/mjs.v30i2.150