The least squares spectral element method for the Cahn–Hilliard equation

A Least Squares Spectral Element Method for Incompressible Flow Simulations

Least-squares hp/spectral element method for elliptic problems

The solution of elliptic boundary value problems often leads to singularities due to nonsmoothness of the domains on which the problem is posed. This paper studies the performance of the nonconforming hp/spectral element method for elliptic problems on non smooth domains. This paper deals with monotone singularities of type rα and rα log r as well as the oscillating singularities of type rα sin...

Least-Squares Method for the Oseen Equation

This article studies the least-squares finite element method for the linearized, stationary Navier–Stokes equation based on the stress-velocity-pressure formulation in d dimensions (d = 2 or 3). The least-squares functional is simply defined as the sum of the squares of the L2 norm of the residuals. It is shown that the homogeneous least-squares functional is elliptic and continuous in the H(di...

Least-squares Spectral Element Methods

In setting up this workshop we had to decide whether we wanted to let you become familiar with the method in a complex setting – non-linear, time-dependent calculations – or restrict ourselves to simpler problems, which allows you to get a better understanding of the method. We have chosen for the second line for several reasons: 1) The method is quite new, so it is hard to find references whic...

Least – Squares Method For Estimating Diffusion Coefficient

 Abstract: Determination of the diffusion coefficient on the base of solution of a linear inverse problem of the parameter estimation using the Least-square method is presented in this research. For this propose a set of temperature measurements at a single sensor location inside the heat conducting body was considered. The corresponding direct problem was then solved by the application of the ...