this work focuses on the correction of both the coecient and the right hand side matrices of the inconsistent matrix equations $ax = b$ and $xc = d$ with orthogonal constraint. by optimal correction approach, a general representation of the orthogonal solution is obtained. this method is tested on two examples to show that the optimal correction is eective and highly accurate.

Hydraulic fracturing is a complex nonlinear hydro-mechanical coupled process. Accurate numerical simulation of great significance for reducing costs and improving reservoir development benefits. The aim this paper to propose an efficient method the fracturing-to-production problem under unified framework that has good convergence accuracy. A model (HMFM) established poroelastic media saturated ...

In this paper, we show that the projection of a regular orthogonal array of strength t onto more than t factors consists of replicates of either a fractional factorial or a full factorial design of strength t, depending on the number of factors retained in the projection.

In this paper we show additional properties of the limit of the sequence produced by the subspace correction algorithm proposed by Fornasier and Schönlieb [24] for L2/TV -minimization problems. Inspired by the work of Vonesch and Unser [34], we adapt and specify this algorithm to the case of an orthogonal wavelet space decomposition and for deblurring problems.

recognition of relationship between the present day stress state and fractures is very important in fractured reservoirs. fractures that are parallel or oblique to maximum horizontal stress have more tendencies to tensile deformation and tensile deformed fractures will be more permeable. the dalan formation is one of the main gas reservoirs of iran witch most of the production from this formati...

It is shown that regularity of orthogonal wavelet matrices, i.e. vanishing of discrete moments of some of their rows, corresponds to maximizing the discrete moments of one of the rows. This leads to an algorithm for calculation of such wavelets by nding a vector which simultaneosly vanishes certain indeenite quadratic forms.