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

Authors:
Tong Kang;Kwang Ik Kim
Affiliations:
Communication University of China, Department of Applied Mathematics, School of Sciences, 100024, Beijing, People’s Republic of China;Pohang University of Science and Technology, Department of Mathematics, 790-784, Pohang, Republic of Korea
Venue:
Computing
Year:
2009

Citing 3
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Abstract

Fully discrete potential-based finite element methods called $${\mathbf{A}-\phi}$$methods are used to solve a transient eddy current problem in a three-dimensional convex bounded polyhedron. Using $${\mathbf{A}-\phi}$$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.