SIAMNUM
2010
13 years 9 months ago
2010
A number of works concerning rigorous convergence theory for adaptive finite element methods (AFEM) for controlling global energy errors have appeared in recent years. However, man...
SIAMNUM
2010
13 years 9 months ago
2010
This paper continues the convergence analysis in [M. Giles and S. Ulbrich, SIAM J. Numer. Anal., 48 (2010), pp. 882
SIAMNUM
2010
13 years 9 months ago
2010
SIAMNUM
2010
13 years 9 months ago
2010
Semidiscrete finite element approximation of the linear stochastic wave equation with additive noise is studied in a semigroup framework. Optimal error estimates for the determinis...
SIAMNUM
2010
13 years 9 months ago
2010
In this paper we develop boundary value methods for detecting Sacker-Sell spectra in discrete time dynamical systems. The algorithms are advancements of earlier methods for comput...
SIAMNUM
2010
13 years 9 months ago
2010
We consider the convergence of a volume corrected characteristics-mixed method (VCCMM) for advection-diffusion systems. It is known that, without volume correction, the method is f...
SIAMNUM
2010
13 years 9 months ago
2010
SIAMNUM
2010
13 years 9 months ago
2010
We consider the Saint-Venant system for shallow water flows with non-flat bottom. In the past years, efficient well-balanced methods have been proposed in order to well resolve sol...
SIAMNUM
2010
13 years 9 months ago
2010
We present a mathematical analysis of the asymptotic preserving scheme proposed in [M. Lemou and L. Mieussens, SIAM J. Sci. Comput., 31, pp. 334
SIAMNUM
2010
13 years 9 months ago
2010
Abstract. We introduce hybridization and postprocessing techniques for the RaviartThomas approximation of second-order elliptic eigenvalue problems. Hybridization reduces the Ravia...