Weak coupling of solutions of first-order least-squares method

Weak coupling of solutions of first-order least-squares method

A theoretical analysis of a first-order least-squares finite element method for second-order self-adjoint elliptic problems is presented. We investigate the coupling effect of the approximate solutions uh for the primary function u and σh for the flux σ = −A∇u. We prove that the accuracy of the approximate solution uh for the primary function u is weakly affected by the flux σ = −A∇u. That is, ...

Meshfree First-order System Least Squares

We prove convergence for a meshfree first-order system least squares (FOSLS) partition of unity finite element method (PUFEM). Essentially, by virtue of the partition of unity, local approximation gives rise to global approximation in H(div) ∩ H(curl). The FOSLS formulation yields local a posteriori error estimates to guide the judicious allotment of new degrees of freedom to enrich the initial...

Least Squares Solutions of Inconsistent Fuzzy Linear Matrix Equations

First - Order System Least - Squares for Second - Order

The rst-order system least-squares methodology represents an alternative to standard mixed nite element methods. Among its advantages is the fact that the nite element spaces approximating the pressure and ux variables are not restricted by the inf-sup condition and that the least-squares functional itself serves as an appropiate error measure. This paper studies the rst-order system least-squa...

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 ...