Computer Implemented Apparatus and Method for Finite Element Modeling Using Hybrid Absorbing Element

摘要

An apparatus and method use a hybrid absorbing element defined by a novel implementation of perfectly matched layer and infinite element concepts to model time-domain and frequency domain wave propagation finite element calculations. The hybrid absorbing element comprises three or more semi-infinite facets providing an essentially reflectionless interface for outgoing waves. Perfectly 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. The hybrid absorbing element modeling approach reduces memory usage and related computational costs, especially when applied to large three-dimensional models and simulations and to large-scale simulations on massively parallel computing structures, cloud resources, or similar clustered or distributed compute and storage resources. The hybrid absorbing element can use a lumped, diagonal inertial operator for compatibility with explicit time-domain computations.