Constraint energy minimizing generalized multiscale finite element method for multi-continuum Richards equations

Tina Mai, Siu Wun Cheung, Jun Sur Richard Park

Abstract: Highlights•We consider the multi-continuum Richards equations, which form a coupled system of nonlinear partial differential equations.•The concepts of constraint energy minimization and spectral decomposition are used to construct multiscale basis functions.•The nonlinearity is tackled by Picard iteration on a low-dimensional multiscale space.•The global convergence of Picard iterative procedure is theoretically proven.•The error converges with the coarse-grid size, according to our numerical results, which are also very accurate.

External IDs:dblp:journals/jcphy/MaiCP23