contributor author | Raguraman Kannan | |
contributor author | Arif Masud | |
date accessioned | 2017-05-09T00:31:19Z | |
date available | 2017-05-09T00:31:19Z | |
date copyright | March, 2009 | |
date issued | 2009 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26744#021203_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/139762 | |
description abstract | This paper presents two stabilized formulations for the Schrödinger wave equation. First formulation is based on the Galerkin/least-squares (GLS) method, and it sets the stage for exploring variational multiscale ideas for developing the second stabilized formulation. These formulations provide improved accuracy on cruder meshes as compared with the standard Galerkin formulation. Based on the proposed formulations a family of tetrahedral and hexahedral elements is developed. Numerical convergence studies are presented to demonstrate the accuracy and convergence properties of the two methods for a model electronic potential for which analytical results are available. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Stabilized Finite Element Methods for the Schrödinger Wave Equation | |
type | Journal Paper | |
journal volume | 76 | |
journal issue | 2 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.3059564 | |
journal fristpage | 21203 | |
identifier eissn | 1528-9036 | |
keywords | Schrödinger equation | |
keywords | Eigenvalues | |
keywords | Functions | |
keywords | Finite element methods AND Bricks | |
tree | Journal of Applied Mechanics:;2009:;volume( 076 ):;issue: 002 | |
contenttype | Fulltext | |