My own experience in the field of magnetic and heat fields modelling is about 20 years. I'm dealing with COMSOL Multiphisics, ANSYS, MatLab-COMSOL modelling and coding.
In addition I have developed my own finite element package for periodic electromagnetic field in nonlinear media, which is more effective for this type of field then mentioned above.
My early foreign publications deals with this scientific branch is:
Chemerys V.T., Petukhov I.S., Raychenko O.I. Internal stresses and dangerous zones inside the conductor of high field magnets: attempt of joint analysis of magnetic, thermal and mechanical phenomena // Sixteen International Conference on Magnetic Technology. - September 26 - October 2, 1999, Florida, USA. - P.51;
Chemerys V.T., Petukhov I.S. Modelling of Connected Current Density and Temperature Distribution in Structurelly non-uniform conductors // International Symposium on Nonlinear Electromagn. Systems, Conf. Digest, 10-12 May, 1999, Pavia, Italy. - P.135.
Now I have about 40 publications on this topic