The splitting method is a powerful method for solving partial differential equations. Various
splitting methods have been designed to separate different physics, nonlinearities, and so …

In fluid flow simulation, the multi-continuum model is a useful strategy. When the
heterogeneity and contrast of coefficients are high, the system becomes multiscale, and …

The interaction between fluid and poroelastic structure is a complex problem that couples
the Stokes equations with the Biot system. In this work, we rewrite the poroelastic equations …

In this paper, a weighted discontinuous Galerkin finite element method and an upwind
format are presented to solve the coupled Brinkman–Darcy flow and transport model. The …

We consider the Cauchy problem for a first-order evolution equation with memory in a finite-
dimensional Hilbert space when the integral term is related to the time derivative of the …

Multi-physics are widely studied and used in numerical analysis and simulation. Physics-
based splitting methods are introduced, in which different methods are applied to solve each …