涡流问题基于C-N差分格式的有限元耦合算法

摘要

Fully discrete potential-based finite element methods called A- methods are used to solve a transient eddy current problem in a three-dimensional convex bounded polyhedron.Using A- methods,fully discrete coupled Crank-Nicholson numerical scheme is developed.The existence and uniqueness of solution for this scheme together with the energy-norm error estimates are provided.To verify the validity of this scheme,some computer simulations are performed for the model from TEAM Workshop Problem 7.%基于势的全离散有限元法常用于解决三维凸有界多边形区域的瞬时涡流问题。本文采用A-法的全离散Crank-Nicholson格式耦合算法,给出能量模误差估计下其解的存在唯一性,并通过TEAM Workshop问题7的数值结果,验证此算法的有效性。