Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …

Two discrete functional analysis tools are established for spaces of piecewise polynomial
functions on general meshes:(i) a discrete counterpart of the continuous Sobolev …

The nonconforming Morley-type virtual element method for the incompressible Navier–
Stokes equations formulated in terms of the stream-function on simply connected polygonal …

The paper is concerned with the construction and convergence analysis of a discontinuous
Galerkin finite element method for the Cahn–Hilliard equation with convection. Using …

In this work we propose a novel Hybrid High-Order method for the incompressible Navier–
Stokes equations based on a formulation of the convective term including Temam's device …

A discontinuous Galerkin (DG) method with solenoidal approximation for the simulation of
incompressible flow is proposed. It is applied to the solution of the Stokes equations. The …

We solve elliptic interface problems using a discontinuous Galerkin (DG) method, for which
discontinuities in the solution and in its normal derivatives are prescribed on an interface …

In this study, a meshless numerical scheme, which is the combination of the generalized
finite difference method, the fictitious-nodes technique, and the two-step Newton-Raphson …

In this work, we consider the two-dimensional Navier–Stokes equations with boundary
conditions on the velocity on one part of the boundary and involving the pressure fluid on the …

In this work, a novel Hermite-type mesh-free model for incompressible viscous fluid flows is
proposed, as a way, to overcome the numerical difficulties experienced by solving under …