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Spike-Layer Simulation for Steady-State Coupled Schrödinger Equations

Spike-Layer Simulation for Steady-State Coupled Schrödinger Equations

Year:    2017

East Asian Journal on Applied Mathematics, Vol. 7 (2017), Iss. 3 : pp. 566–582

Abstract

An adaptive finite element method is adopted to simulate the steady state coupled Schrödinger equations with a small parameter. We use damped Newton iteration to solve the nonlinear algebraic system. When the solution domain is elliptic, our numerical results with Dirichlet or Neumann boundary conditions are consistent with previous theoretical results. For the dumbbell and circular ring domains with Dirichlet boundary conditions, we obtain some new results that may be compared with future theoretical analysis.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.030616.130517a

East Asian Journal on Applied Mathematics, Vol. 7 (2017), Iss. 3 : pp. 566–582

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Schrödinger equations damped Newton iteration adaptive finite element method spike-layer solution.

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