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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