… mixed mimetic spectral element advection operator, the upwinded mass flux advection …
problem is introduced for the standard mixed mimetic spectral element discretisation. In Section 2 …

We present a discretization of the linear advection of differential forms on bounded domains.
The framework established in [4] is extended to incorporate the Lie derivative, \…

… In this work we set out to construct a mimetic spectral finite element discretization for the
shallow water equations as given by (1), together with the diagnostic equations (2). In particular …

… The model uses a mixed mimetic spectral element discretization which allows for the exact
exchanges of kinetic, internal and potential energy via the compatibility properties of the …

In this work we present a mimetic spectral element discretization for the 2D incompressible
Navier–Stokes equations that in the limit of vanishing dissipation exactly preserves mass, …

… will make use of the spectral element method described in [9, 19], application of these ideas
to Stokes’ flow see [16–18]; Poisson equation for volume forms [22]; advection equation [21]; …

… Having discussed the mathematical concepts in the previous chapter, this chapter presents
the framework of the 1D and 2D mimetic Spectral Element Method (SEM). Moreover, this …

… As mentioned previously, the objective of this work is to apply the mimetic framework
developed in [46, 52] to the solution of systems of ordinary differential equations. The mimetic …

… novel mimetic finite difference (MFD) scheme for the advective term with divergence-free
advective … The method leverages the divergence-free property of the advective field, an intrinsic …

… We introduce a new family of optimization based limiters for the h – p spectral element
method. The native spectral element advection operator is oscillatory, but due to its mimetic …