Optimal $L^2$ error estimates of mass- and energy-conserved FE schemes for a nonlinear Schrödinger-type system

Zhuoyue Zhang, Wentao Cai

In this paper, we present an implicit Crank-Nicolson finite element (FE) scheme for solving a nonlinear Schrödinger-type system, which includes Schrödinger-Helmholz system and Schr…