摘要:

The penalty method is used to compute approximations for the solution of the obstacle problem for the biharmonic operator. By coupling the penalty parameter ε and the discretization parameter h a rate of convergence ofin the H2-norm is shown.

ISSN:0163-0563    

DOI:10.1080/01630568708816233

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

A Kantorowitsch-analysis of Newton's method in generalized Banach spaces is given. The application of generalized norms – mappings from a linear space into a partially ordered Banach space - improves convergence results and error estimatescompared with the real norm theory.

ISSN:0163-0563    

DOI:10.1080/01630568708816234

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

This paper develops a comprehensive theory of generalized inverse operators on Banach spaces. The paper is partly expository and partly new results. The expository part develops a unified theory of generalized inverses of linear (but not necessarily bounded) operators on normed spaces together with the additional properties that obtain in Hilbert spaces. This part provides a simplification and an extension of the unified approach developed by Nashed and Votruba for several generalized inverses of linear operators on topological vector spaces. The new results deal with bounded inner and bounded outer inverses, new extremal and proximinal properties and a few related observations and properties in several sections.

ISSN:0163-0563    

DOI:10.1080/01630568708816235

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

The aim of this paper is the shape restoration of a plane object from measurements of its diffracted field at a discrete and finite set of points. The plane sampling lattice is supposed: i) rectangular; ii)periodic.

ISSN:0163-0563    

DOI:10.1080/01630568708816236

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

Let: f is convex and lower semicontinuous}: this space with the metric of epiconvergence is compact, hence complete. Forand, let fpbe the function defined by fp(x)=f(x)-(p,x). Letbe the set of real-valued functionswhich are differentiable on all ofand s.t. fpis well-posed for every. Then,is a first category (i.e.: meager) set in.

ISSN:0163-0563    

DOI:10.1080/01630568708816237

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

Letdenote the space of splines of degreeni-1withrfixed knots ξ1…ξr, having multiphcities given bym= (m1…mr) A functionfisgeneralized convex with respect toconvex in ξj, ξj+ +where the integerk(j)depends onm, andfsatisfies certain derivative conditions at the knots. We prove that such a function has a strongly unique best uniform approximation from. Several applications are given.

ISSN:0163-0563    

DOI:10.1080/01630568708816238

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

We consider an autonomous dynamical system discretized by a one-step method. The pointz= 0 is assumed to be fixed under the continuous and the discrete flows. We allowz= 0 to be non-hyperbolic. The continuous system has a center-unstable manifold and we show the existence of approximating invariant manifolds for the discretizations. The manifolds for the continuous and the discrete systems share the property of being locally attracting at an exponential rate; the dynamics inside the manifolds can differ qualitatively, however, for all step-sizesh.

ISSN:0163-0563    

DOI:10.1080/01630568708816239

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

This paper focusses on quasilinear second order differential operators. Concerning their strong monotonicity and Lipschitz continuity sufficient conditions are stated which are both explicit and easy to show. Applying these functional analytic properties to nonlinear obstacle problems we prove error estimates in energy norm for the finite element method with

ISSN:0163-0563    

DOI:10.1080/01630568708816240

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

The paper contains some convergence results in uniform norms for the WR-like iteration method when appHed to a nonlinear stiff system which models MOS circuits. The discretization methods discussed include e.g. the backward differentiation methods of order ≤ 5.

ISSN:0163-0563    

DOI:10.1080/01630568708816241

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

Stability results for two unilateral problems involving differential operators of the form A(v) + F(V) are proved. The two cases are related by the fact that F(u)εL1(Ω) if u is a solution.

ISSN:0163-0563    

DOI:10.1080/01630568708816242

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor