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Fully discrete potential-based finite element methods for a transient eddy current problem

机译:瞬态涡流问题的基于完全离散势的有限元方法

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摘要

Fully discrete potential-based finite element methods called A - φ methods are used to solve a transient eddy current problem in a three-dimensional convex bounded polyhedron. Using A - φ methods, fully discrete coupled and decoupled numerical schemes are developed. The existence and uniqueness of solutions for these schemes together with the energy-norm error estimates are provided. To verify the validity of both schemes, some computer simulations are performed for the model from TEAM Workshop Problem 7.
机译:基于完全离散的基于势的有限元方法(称为A-φ方法)用于解决三维凸有界多面体中的瞬态涡流问题。使用A-φ方法,开发了完全离散的耦合和解耦数值方案。提供了这些方案的解决方案的存在性和唯一性以及能量范数误差估计。为了验证这两种方案的有效性,对来自TEAM Workshop问题7的模型进行了一些计算机仿真。

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