We present high-order mimetic finite-difference operators that satisfy the extended Gauss
theorem. These operators have the same order of accuracy in the interior and at the …

We present a new scheme for solving Navier–Stokes equations using mimetic difference
operators. These operators can be constructed to high orders of accuracy and maintain the …

This paper proposes finite-difference schemes based on triangular stencils to approximate
partial derivatives using bivariate Lagrange polynomials. We use first-order partial derivative …

The mimetic discretization of a boundary value problem (BVP) seeks to reproduce the same
underlying properties that are satisfied by the continuous solution. In particular, the Castillo …

This study presents a comprehensive examination of the structural and operatorial
foundations within mimetic discretizations, with a focus on bridging the gap between discrete …

While global-and basin-scale processes can be captured quite well with computationally-
inexpensive hydrostatic models, smaller-scale features such as shoaling nonlinear internal …

This paper presents a comprehensive study on the spectral properties of mimetic finite-
difference operators and their application in the robust fluid–structure interaction (FSI) …

ABSTRACT New h-, p-, and hp-versions of the least-squares collocation method (LSCM) are
proposed and implemented for solving the Dirichlet problem for a Poisson equation …

We investigate the construction and usage of mimetic operators in curvilinear staggered
grids. Specifically, we extend the Corbino-Castillo operators so they can be utilized to solve …

The vadose zone is the portion of the subsurface above the water table and its pore space
usually contains air and water. Due to the presence of infiltration, erosion, plant growth …