TY - JOUR
T1 - Spike-Layer Simulation for Steady-State Coupled Schrödinger Equations
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 566
EP - 582
PY - 2018
DA - 2018/02
SN - 7
DO - http://doi.org/10.4208/eajam.030616.130517a
UR - https://global-sci.org/intro/article_detail/eajam/10765.html
KW - Schrödinger equations, damped Newton iteration, adaptive finite element method, spike-layer solution.
AB - <p style="text-align: justify;">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.</p>