MathA domain decomposition framework for coupling physics-based and data-driven models in multi-physics problems
Multi-physics problems, involving coupled phenomena such as fluid mechanics, thermodynamics, and chemistry, are common in science and engineering. These problems often involve distinct governing equations (e.g., Navier–Stokes, elasticity, diffusion) and specialized solvers, making monolithic solutions computationally prohibitive. Domain decomposition (DD) offers an effective strategy by partitioning the domain into subregions with localized models, which […] Multi-physics problems, involving coupled phenomena such as fluid mechanics, thermodynamics, and chemistry, are common in science and engineering. These problems often involve distinct governing equations (e.g., Navier–Stokes, elasticity, diffusion) and specialized solvers, making monolithic solutions computationally prohibitive. Domain decomposition (DD) offers an effective strategy by partitioning the domain into subregions with localized models, which […]
