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In this work, we present a parallel, fully-distributed finite elementnumerical framework to simulate the low-frequency electromagnetic response ofsuperconducting devices, which allows to efficiently exploit HPC platforms. Weselect the so-called H-formulation, which uses the magnetic field as a statevariable. N\'ed\'elec elements (of arbitrary order) are required for anaccurate approximation of the H-formulation for modelling electromagneticfields along interfaces between regions with high contrast medium properties.An h-adaptive mesh refinement technique customized for N\'ed\'elec elementsleads to a structured fine mesh in areas of interest whereas a smart coarseningis obtained in other regions. The composition of a tailored, robust, parallelnonlinear solver completes the exposition of the developed tools to tackle theproblem. First, a comparison against experimental data is performed to show theavailability of the finite element approximation to model the physicalphenomena. Then, a selected state-of-the-art 3D benchmark is reproduced,focusing on the parallel performance of the algorithms.

Simulation of high temperature superconductors and experimental validation