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H-Formulation Using the Discontinuous Galerkin Method for the 3-D Modeling of Superconductors

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In this paper, a new approach to model efficiently high-temperature superconductors, whose electrical behavior is characterized by a non-linear power law, in 3-D is investigated. The commonly used non-linear H-formulation… Click to show full abstract

In this paper, a new approach to model efficiently high-temperature superconductors, whose electrical behavior is characterized by a non-linear power law, in 3-D is investigated. The commonly used non-linear H-formulation will be discretized based on the discontinuous Galerkin method. This numerical approach will likely provide fast simulations through parallel computations. Its application on simple examples, such as a superconducting cube subjected to an external magnetic field, will show robustness, convergence, and fast computations.

Keywords: using discontinuous; formulation using; discontinuous galerkin; method modeling; galerkin method

Journal Title: IEEE Transactions on Magnetics
Year Published: 2018

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