An apparatus and method use a hybrid absorbing element defined by a implementation of matched layer and infinite element concepts to model time-domain and frequency domain wave propagation finite element calculations. The hybrid absorbing element includes three or more semi-infinite facets providing an essentially reflectionless interface for outgoing waves. Matched layer conditions are coupled to finite-element wavefield computation regions and infinite element conditions, which effectively disperse advancing waves at infinity. The disclosed apparatus and method result in the rapid attenuation of waves arriving at arbitrary angles, leading to elimination of reflection artifacts.