Problems involving the evolution of two-and three-dimensional domains arise in many areas
of science and engineering. Emphasizing an Eulerian approach, Moving Shape Analysis …

Optimal control and shape optimization techniques have an increasing role in Fluid
Dynamics problems governed by partial differential equations (PDEs). In this paper, we …

In this paper, we study the Legendre–Galerkin spectral approximation of distributed optimal
control problems governed by Stokes equations. We show that the discretized control …

In this paper, we propose a second-order time-accurate ALE formulation of Lagrange–
Galerkin methods for the transient solution of Navier–Stokes equations for an …

In this article, we are investigating the numerical approximation of an inverse problem
involving the evolution of a Newtonian viscous incompressible fluid described by the Navier …

This project deals about the solution of the Navier Stokes Equations by the Method of
Characteristics--This method is used to eliminate the convective part of equations of the …