L p Error estimate for minimal norm SBF interpolation
نویسندگان
چکیده
منابع مشابه
The L Norm Error Estimate for the Div-curl Least-squares Method for 3d-stokes Equations
This paper studies L2 norm error estimate for the div-curl leastsquares finite element method for Stokes equations with homogenous velocity boundary condition. The analysis using a different way from that in [11] shows that, without the divergence of the vorticity, the L2 norm error bound of the velocity is O(h 3 2 ) in the standard linear element method. AMS Subject Classification: 65N30
متن کاملOptimal Anisotropic Meshes for Minimizing Interpolation Errors in L-norm
In this paper, we present a new optimal interpolation error estimate in Lp norm (1 ≤ p ≤ ∞) for finite element simplicial meshes in any spatial dimension. A sufficient condition for a mesh to be nearly optimal is that it is quasi-uniform under a new metric defined by a modified Hessian matrix of the function to be interpolated. We also give new functionals for the global moving mesh method and ...
متن کاملA Multivariate Form of Hardy's Inequality and L P -error Bounds for Multivariate Lagrange Interpolation Schemes
The following multivariate generalisation of Hardy's inequality, that for m ? n=p > 0
متن کاملL∞-error Estimate for a System of Elliptic Quasivariational Inequalities
whereΩ is a bounded smooth domain ofRN ,N ≥ 1, with boundary ∂Ω,ai(u,v) are J-elliptic bilinear forms continuous on H1(Ω)×H1(Ω), (·,·) is the inner product in L2(Ω), and f i are J-regular functions. This system, introduced by Bensoussan and Lions (see [3]), arises in the management of energy production problems where J-units are involved (see [4] and the references therein). In the case studied...
متن کاملComplex Nonconvex l p Norm Minimization for Underdetermined Source Separation
Underdetermined source separation methods often rely on the assumption that the time-frequency source coefficients are independent and Laplacian distributed. In this article, we extend these methods by assuming that these coefficients follow a generalized Gaussian prior with shape parameter p. We study mathematical and experimental properties of the resulting complex nonconvex lp norm optimizat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2013
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2013-510