【摘要】 应用最小二乘方法数值求解全内反射显微镜模型对应的时谐散射问题.先利用平面波函数和倏逝波函数构造试探函数空间,再利用解及其法向导数在单元内边界处的跃度和外边界条件定义目标泛函.结果表明,该方法简单易行,所需剖分单元少,算法精度高.数值实验验证了算法的有效性.更多还原

【Abstract】 A least squares method was used to solve the time harmonic scattering problem corresponding to total internal reflection microscopy.The trial space was constructed via plane wave functions and evanescent wave functions and the functional was defined by means of the interface jumps of the solution and its normal derivative and the discrepancy with respect to the boundary condition.Our method easily used needs fewer elements with high accuracy.Numerical examples presented illustrate the effectiveness of the approach.更多还原