A semi-implicit, lowest order finite element scheme for the approximation of wave maps into smooth or convex surfaces is devised and its stability is analyzed. Convergence is established for the case of the unit sphere as a target manifold, which is unconditional in case of (2+1) Minkowski space. Numerical experiments illustrate the theoretical results.

A Newton-like method for convex functions is derived. It is shown that this method can be better than the Newton method. Especially good results can be obtained if we combine these two methods. Illustrative numerical examples are given. Mathematics Subject Classification: 65H05

Abstract: The aim of this work is to introduce an adaptive strategy to monitor the rate of convergence of a Newton-like method in numerical shape optimization. Such superlinear iterative algorithms are often computationally intensive and the rate of convergence depends on how accurate the numerical solution of the state equation is. The model concerns a cost function depending on the unknown do...

0953-5438/$ see front matter 2009 Elsevier B.V. A doi:10.1016/j.intcom.2009.05.008 * Corresponding author. Tel.: +1 434 544 8167. E-mail addresses: [email protected] (J.H. Pa (J.P. Landry), [email protected] (E. Kyper), rlievan Websites use shortcuts to facilitate navigation of large hierarchies of item categories. Two common types of shortcuts used for this purpose are location breadcrumb...

A bstract . The function h (z ) = ~ (z l i z ) is t he ewton map associated with the quadratic polynomial z 2 +1. The iterated dynamics of f on 3{ is usually st udied by exploit ing the conjugacy between f and the funct ion z f-> z2 In this paper we show how to use the technique of nested intervals t o yield a direct ana lysis of t he dynamics. We also show how to use the same technique to anal...

In this paper, we study electromagnetic wave scattering from periodic structures and eigenvalue analysis of the Helmholtz equation. Boundary element method (BEM) is an effective tool to deal with Helmholtz problems on bounded as well as unbounded domains. Recently, Oh et al.([29]) developed reproducing polynomial boundary particle methods (RPBPM) that can handle effectively boundary integral eq...