An integral representation of electrograms is used for large scale simulati
ons in an anisotropic model of the whole left ventricle. Numerical artifact
s, like spurious oscillations or peaks, may appear if the computational gri
d is not fine enough. To avoid an excessive increase in the number of eleme
nts and nodes, we present a numerical procedure based on a combination of:
a special refinement of the grid, a sub-element technique, a nonlinear inte
rpolation and a split form of the integral. The numerical simulations show
that in this way it is possible to suppress the numerical artifacts thus al
lowing an accurate computation of electrograms in any point inside or outsi
de the myocardial wall.