Stability and convergence of approximation schemes
نویسندگان
چکیده
منابع مشابه
Convergence Analysis of Meshfree Approximation Schemes
This work is concerned with the formulation of a general framework for the analysis of meshfree approximation schemes and with the convergence analysis of the local maximum-entropy (LME) scheme as a particular example. We provide conditions for the convergence in Sobolev spaces of schemes that are n-consistent in the sense of exactly reproducing polynomials of degree less than or equal to n ≥ 1...
متن کاملStability and Convergence of Finite-Element Approximation Schemes for Harmonic Maps
Abstract. This article discusses stability and convergence of approximation schemes for harmonic maps. A finite element discretization of an iterative algorithm due to F. Alouges is introduced and shown to be stable and convergent in general only on acute type triangulations. An a posteriori criterion is proposed which allows to monitor sufficient conditions for weak convergence to a harmonic m...
متن کاملStability and convergence of neural/fuzzy adaptive control schemes
This talk will consider several types of adaptive control structure for nonlinear systems, based on the approximation of nonlinear functions by neural or fuzzy networks, which are also used to generate the control signals. The dynamic equations will be formulated as a generalisation of direct self-tuning or modelreference adaptation, in order to address the issues of parameter convergence and s...
متن کاملStability and convergence of difference schemes for parabolic interface problems
In this paper we report results on stability and convergence of twolevel difference schemes for parabolic interface equations. Energy norms that rely on spectral problems containing the eigenvalue in boundary conditions or in conditions on conjugation are introduced. Necessary and sufficient stability conditions in these norms for weighted difference schemes are established. Convergence rate es...
متن کاملConvergence of variational approximation schemes for elastodynamics with polyconvex energy
We consider a variational scheme developed by S. Demoulini, D. M. A. Stuart and A. E. Tzavaras [Arch. Rat. Mech. Anal. 157 (2001)] that approximates the equations of three dimensional elastodynamics with polyconvex stored energy. We establish the convergence of the time-continuous interpolates constructed in the scheme to a solution of polyconvex elastodynamics before shock formation. The proof...
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 Mathematical Analysis and Applications
سال: 1967
ISSN: 0022-247X
DOI: 10.1016/0022-247x(67)90072-8