numgeo now features mixed implicit-explicit (IMEX) schemes for efficient handling of challenging soil dynamics problems. The scheme is published in Computers and Geotechnics and the open access article is available here.
By applying implicit or explicit methods to different parts of the computational domain, the approach addresses these variations effectively. Using mortar contact discretization for domain decomposition, multiple systems of equations are solved simultaneously. The method is also extended to hydro-mechanical coupling in soil dynamics.
The IMEX scheme enhances efficiency by allowing larger time increments for stiff parts of the system (e.g. a pile), while maintaining accuracy for the less stiff domains (soil). This results in reduced computational time, especially in cases where purely explicit methods would require significantly smaller time steps to remain stable.
