A recent study on the condition numbers of mixed least squares-total squares (MTLS) problem is due to Zheng and Yang (Numer Linear Algebra Appl. 2019;26(4):e2239). However, associated expressions are not compact Kronecker-product operations make computation costly. In this paper, we first present new alternative closed formula for order perturbation estimate MTLS solution. Then reveal relations...

The element-free Galerkin method is employed for two-dimensional analysis of steady-state heat transfer. The unknown response of the system, i.e. temperature is approximated using the moving least squares technique. Numerical integration of governing simultaneous system of equations is performed by Gauss quadrature and new modified nodal integration techniques. Numerical examples and tests have...

In this paper we propose a new arbitrary-order Finite Volume method for the numerical solution of Euler and Navier-Stokes equations on unstructured grids. Arbitrary order is achieved using modified Moving Least Squares reconstruction, which preserves mean values conservative variables. Hence, proposed scheme changes traditional error functional MLS reconstruction in to compare cell-averaged val...