The Helmholtz equation, a cornerstone in mathematical physics, models wave propagation phenomena in acoustics, electromagnetism and seismic imaging. Its inherent computational challenges—particularly ...

The present paper is about a concept from mathematical analysis, namely the Helmholtz decomposition of vector fields that can be translated into a similar concept for certain directed graphs, also ...

Elastic reverse time migration (ERTM) has emerged as a critical seismic imaging technique that exploits the full vector nature of elastic waves to generate high-fidelity subsurface images. By ...