Three-dimensional data-driven magnetostatic field computation using real-world measurement data

This paper presents a practical case study of data-driven magnetostatic finite element solver applied to real-world three-dimensional problem. Instead using hard-coded phenomenological material model within the solver, computing approach reformulates boundary value problem such that field solution is directly computed on measurement data. The formulation results in minimization with Lagrange multiplier, where sought must conform Maxwell's equations while at same time being closest available an inductor excited by DC-current. Numerical for data sets increasing cardinality verify recovers conventional solution. Furthermore, this work concludes applicable computationally demanding problems. Simulations real world further show usability solver.