The paper aims to review some electromagnetic-thermal dosimetry methods for the assessment of human exposure to high frequency (HF) electromagnetic fields. The analysis approaches are based on certain integral/differential equation formulations and related numerical solution procedures for the calculation of specific absorption rate (SAR) and related temperature increase in a tissue. Illustrative computational examples for the human eye and the human brain exposed to HF electromagnetic fields are given in the paper. Also, some numerical results for the transcranial magnetic stimulation (TMS) are presented as an example of biomedical application of electromagnetic fields. The obtained numerical results for SAR are compared against exposure limits proposed by ICNIRP (International Commission on Non Ionizing Radiation Protection).