A-stable discontinuous Galerkin–Petrov time discretization of higher order

A-stable discontinuous Galerkin-Petrov time discretization of higher order

Robust Two-Level Lower-Order Preconditioners for a Higher-Order Stokes Discretization with Highly Discontinuous Viscosities

The main goal of this paper is to present new robust and scalable preconditioned conjugate gradient algorithms for solving Stokes equations with large viscosities jumps across subregion interfaces and discretized on non-structured meshes. The proposed algorithms do not require the construction of a coarse mesh and avoid expensive communications between coarse and fine levels. The algorithms bel...

Higher order Galerkin time discretization for nonstationary incompressible flow

In this paper, we extend our work for the heat equation in [4] and for the Stokes equations in [5] to the nonstationary Navier-Stokes equations in two dimensions. We examine continuous Galerkin-Petrov (cGP) time discretization schemes for nonstationary incompressible flow. In particular, we implement and analyze numerically the higher order cGP(2)-method. For the space discretization, we use th...

Discontinuous Residue and Theme in Higher-Order Semiotic: A Case for Interlocking Systems

  The fallacy persists in discourse analysis research to explore lexicogrammatical phenomena detached from any adjacent plane of the meaning potential. In an attempt to dispel this and toss out some preconceived notions about what a modern SFG vantage point should involve, this study homes in on one aspect of SFG within prose fiction in particular, which is very revealing in terms of how separ...

Higher-order compatible discretization on hexahedrals

We derive a compatible discretization method that relies heavily on the underlying geometric structure, and obeys the topological sequences and commuting properties that are constructed. As a sample problem we consider the vorticityvelocity-pressure formulation of the Stokes problem. We motivate the choice for a mixed variational formulation based on both geometric as well as physical arguments...