Least-Squares Methods for Linear Elasticity

First-Order System Least Squares For Linear Elasticity: Numerical Results

Two first-order system least squares (FOSLS) methods based on L norms are applied to various boundary value problems of planar linear elasticity. Both use finite element discretization and multigrid solution methods. They are two-stage algorithms that solve first for the displacement flux variable (the gradient of displacement, which easily yields the deformation and stress variables), then for...

Estimating the Share and Elasticity of Substitution for Public and Private Health Expenditures in Iran

Background: The rate of substitution for private and public health expenditures is one of the factors that can explain the different effects of public and private health expenditures on health and life expectancy. Therefore, the purpose of this study was to estimate the return to scale, share, and elasticity of the substitution for public and private health expenditures in Iran. Methods: In th...

First-Order System Least Squares for the Stress-Displacement Formulation: Linear Elasticity

First-order System Least Squares (fosls) for Planar Linear Elasticity: Pure Traction Problem∗

This paper develops two first-order system least-squares (FOSLS) approaches for the solution of the pure traction problem in planar linear elasticity. Both are two-stage algorithms that first solve for the gradients of displacement (which immediately yield deformation and stress), then for the displacement itself (if desired). One approach, which uses L norms to define the FOSLS functional, is ...

Finite Element Methods of Least-Squares Type

We consider the application of least-squares variational principles to the numerical solution of partial differential equations. Our main focus is on the development of least-squares finite element methods for elliptic boundary value problems arising in fields such as fluid flows, linear elasticity, and convection-diffusion. For many of these problems, least-squares principles offer numerous th...