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 …

This paper studies non-inf-sup stable virtual element methods for the Navier-Stokes
problems based on “equal-order” virtual elements. Two equivalent pressure stabilizations …

This paper studies a stabilized virtual element method for the unsteady Navier-Stokes
problems on polygonal meshes. Using “equal-order” virtual elements in space and the …

In this manuscript, we present a globally divergence-free weak Galerkin finite element
method with the IMEX-SAV scheme for solving the Kelvin–Voigt viscoelastic fluid flow model …

In this paper, we present a defect correction weak Galerkin finite element method for solving
the Kelvin–Voigt viscoelastic fluid flow model, which can guarantee that the discrete velocity …

We consider the second-order projection schemes for the time-dependent natural
convection problem. By the projection method, the natural convection problem is decoupled …

A fully discrete Crank-Nicolson leap-frog time stepping decoupled (CNLFD) scheme is
presented and studied for the fluid–fluid interaction problems. The proposed scheme deals …

In this article, we propose and analyse a local projection stabilized and characteristic
decoupled scheme for the fluid–fluid interaction problems. We use the method of …

In this paper, we present a numerical scheme, prove stability, existence of solutions,
uniqueness and convergence of the incompressible Navier–Stokes equations. It has the …

In this paper, a full discrete local projection stabilized (LPS) method is proposed to solve the
optimal control problems of the unsteady Navier-Stokes equations with equal order …