A method and system for atrial fibrillation analysis, characterization, and mapping is disclosed. A finite element model (FEM) representing a physical structure of a heart is generated. Electrogram data can be sensed at various locations in the heart using an electrophysiology catheter, and the electrogram data is mapped to the elements of the FEM. Function parameters, which measure some characteristics of AF arrhythmia, are then simultaneously calculated for all of the elements of the FEM based on the electrogram data mapped to the elements of the FEM. An artificial neural network (ANN) can be used to calculate the function parameters.