Rothe method for parabolic variational–hemivariational inequalities

Convergence of Rothe Scheme for Hemivariational Inequalities of Parabolic Type

This article presents the convergence analysis of a sequence of piecewise constant and piecewise linear functions obtained by the Rothe method to the solution of the first order evolution partial differential inclusion u′(t)+Au(t)+ι∗∂J(ιu(t)) 3 f(t), where the multivalued term is given by the Clarke subdifferential of a locally Lipschitz functional. The method provides the proof of existence of...

A Rothe-immersed Interface Method for an Elliptic-parabolic Interface Problem

INTRODUCTION This paper concerns what we term a parabolic-elliptic interface problem. Two – dimensional problems are investigated in many papers [1-4]. They arise in the study of two-dimensional eddy currents [2], in the quasistationary two-dimensional magnetic fields [1], surface measurements [3], etc. In the present paper we shall concentrate on the following simplified model from the biochem...

Method of Rothe for a Hyperbolic

WELL- POSEDNESS OF THE ROTHE DIFFERENCE SCHEME FOR REVERSE PARABOLIC EQUATIONS

A Convergent Adaptive Wavelet–rothe Method for Elastoplastic Hardening*

The Arabian Journal for Science and Engineering, Volume 29, Number 2C. December 2004 17 †To whom correspondence should be addressed. A CONVERGENT ADAPTIVE WAVELET–ROTHE METHOD FOR ELASTOPLASTIC HARDENING* Giovanni Naldi Universitá di Milano, Dipartimento di Matematica Via Saldini 50, I-20133 Milano, Italy e-mail: [email protected] Karsten Urban† Universität Ulm, Abteilung Numerik, D-8...