Although the roots of the “Finite Element Method” can be found in the work of Courant [84],
the method really took off in the 1950's when engineers started to solve numerically …

This paper focuses on the numerical analysis of a finite element method with stabilization for
the unsteady incompressible Navier–Stokes equations. Incompressibility and convective …

The kinetic energy of a flow is proportional to the square of the L 2 (Ω) norm of the velocity.
Given a sufficient regular velocity field and a velocity finite element space with polynomials …

In this paper we propose a new method to stabilize nonsymmetric indefinite problems. The
idea is to solve a forward and an adjoint problem simultaneously using a suitable stabilized …

By using the properties of the q-derivative, we show that q-Szász Mirakyan operators are
convex, if the function involved is convex, generalizing well-known results for q= 1. We also …

This paper studies non inf-sup stable finite element approximations to the evolutionary
Navier–Stokes equations. Several local projection stabilization (LPS) methods …

The solutions of elliptic problems with a Dirac measure right‐hand side are not in dimension
and therefore the convergence of the finite element solutions is suboptimal in the‐norm. In …

This paper focuses on the notion of suitable weak solutions for the three-dimensional
incompressible Navier–Stokes equations and discusses the relevance of this notion to …

Abstract The Fat Boundary Method is a method of the Fictitious Domain class, which was
proposed to solve elliptic problems in complex geometries with non-conforming meshes. It …

We study a higher-order surface finite element (SFEM) penalty-based discretization of the
tangential surface Stokes problem. Several discrete formulations are investigated which are …