On least-squares approximations to compressible flow problems
โ Scribed by Tsu-Fen Chen
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 751 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0749-159X
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๐ SIMILAR VOLUMES
This article studies a least-squares finite element method for the numerical approximation of compressible Stokes equations. Optimal order error estimates for the velocity and pressure in the H 1 are established. The choice of finite element spaces for the velocity and pressure is not subject to the
In this paper we consider the solution of linear least squares problems min x Ax -b 2 2 where the matrix A โ R mรn is rank deficient. Put p = min{m, n}, let ฯ i , i = 1, 2, . . . , p, denote the singular values of A, and let u i and v i denote the corresponding left and right singular vectors. Then
## Abstract The method of โleast squaresโ, which falls under the category of weighted residual processes, is applied as a timeโstepping algorithm to oneโdimensional transient problems including the heat conduction equation, diffusionโconvection equation, and a nonโlinear unsaturated flow equation.