Multi-dimensional discretization error estimation for convergent apparent order

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Improved discretization error estimates for first-order system least squares

We study the discretization accuracy for first-order system least squares (FOSLS) applied to Poisson’s equation as a model problem. The FOSLS formulation is based on an H1 elliptic bilinear form F . Since the order of convergence of the discretization in the L2 and H1 norms depends on the regularity of F , we examine this property in detail. We then use these results together with an Aubin-Nits...

متن کامل

Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part

For finite difference matrices that are monotone, a discretization error estimate in maximum norm follows from the truncation errors of the discretization. It enables also discretization error estimates for derivatives of the solution. These results are extended to convergent operator splittings of the difference matrix where the major, preconditioning part is monotone but the whole operator is...

متن کامل

Ant Colony Optimization for Multi-objective Digital Convergent Product Network

Convergent product is an assembly shape concept integrating functions and sub-functions to form a final product. To conceptualize the convergent product problem, a web-based network is considered in which a collection of base functions and sub-functions configure the nodes and each arc in the network is considered to be a link between two nodes. The aim is to find an optimal tree of functionali...

متن کامل

High-dimensional bolstered error estimation

MOTIVATION In small-sample settings, bolstered error estimation has been shown to perform better than cross-validation and competitively with bootstrap with regard to various criteria. The key issue for bolstering performance is the variance setting for the bolstering kernel. Heretofore, this variance has been determined in a non-parametric manner from the data. Although bolstering based on thi...

متن کامل

Discretization error in dynamical inverse problems: one-dimensional model case

We examine nonstationary inverse problems in which the time evolution of the unknown quantity is modelled by a stochastic partial differential equation. We consider the problem as a state estimation problem. The time discrete state evolution equation is exact since the solution is given by an analytic semigroup. For the practical reasons the space discretization of the time discrete state estim...

متن کامل

ذخیره 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 the Brazilian Society of Mechanical Sciences and Engineering

سال: 2005

ISSN: 1678-5878

DOI: 10.1590/s1678-58782005000400012