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We make progress towards a 3D finite-element model for the magnetization of ahigh temperature superconductor (HTS): We suggest a method that takes intoaccount demagnetisation effects and flux creep, while it neglects the effectsassociated with currents that are not perpendicular to the local magneticinduction. We consider samples that are subjected to a uniform magnetic fieldvarying linearly with time. Their magnetization is calculated by means of aweak formulation in the magnetostatic approximation of the Maxwell equations(A-phi formulation). An implicit method is used for the temporal resolution(Backward Euler scheme) and is solved in the open source solver GetDP. Picarditerations are used to deal with the power law conductivity of HTS. The finiteelement formulation is validated for an HTS tube with large pinning strengththrough the comparison with results obtained with other well-establishedmethods. We show that carrying the calculations with a single time-step (asopposed to many small time-steps) produce results with excellent accuracy in adrastically reduced simulation time. The numerical method is extended to thestudy of the trapped magnetization of cylinders that are drilled with differentarrays of columnar holes arranged parallel to the cylinder axis.

Numerical simulation of the magnetization of high-temperature superconductors: 3D finite element method using a single time-step iteration