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SIAMNUM
2010
129views more  SIAMNUM 2010»
12 years 10 months ago
Convergence of an Adaptive Finite Element Method for Controlling Local Energy Errors
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...
Alan Demlow
SIAMNUM
2010
116views more  SIAMNUM 2010»
12 years 10 months ago
Convergence of Linearized and Adjoint Approximations for Discontinuous Solutions of Conservation Laws. Part 2: Adjoint Approxima
This paper continues the convergence analysis in [M. Giles and S. Ulbrich, SIAM J. Numer. Anal., 48 (2010), pp. 882
Mike Giles, Stefan Ulbrich
SIAMNUM
2010
89views more  SIAMNUM 2010»
12 years 10 months ago
An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture
Siobhan Burke, Christoph Ortner, Endre Süli
SIAMNUM
2010
140views more  SIAMNUM 2010»
12 years 10 months ago
Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise
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...
Mihály Kovács, Stig Larsson, Fardin ...
SIAMNUM
2010
106views more  SIAMNUM 2010»
12 years 10 months ago
Computing Sacker-Sell spectra in Discrete Time Dynamical Systems
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...
Thorsten Hüls
SIAMNUM
2010
89views more  SIAMNUM 2010»
12 years 10 months ago
Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems
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...
Todd Arbogast, Wen-Hao Wang
SIAMNUM
2010
77views more  SIAMNUM 2010»
12 years 10 months ago
Mean Field Games: Numerical Methods
Yves Achdou, Italo Capuzzo Dolcetta
SIAMNUM
2010
71views more  SIAMNUM 2010»
12 years 10 months ago
A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows
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...
François Bouchut, Tomás Morales de L...
SIAMNUM
2010
120views more  SIAMNUM 2010»
12 years 10 months ago
Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit
We present a mathematical analysis of the asymptotic preserving scheme proposed in [M. Lemou and L. Mieussens, SIAM J. Sci. Comput., 31, pp. 334
Jian-Guo Liu, Luc Mieussens
SIAMNUM
2010
103views more  SIAMNUM 2010»
12 years 10 months ago
Hybridization and Postprocessing Techniques for Mixed Eigenfunctions
Abstract. We introduce hybridization and postprocessing techniques for the RaviartThomas approximation of second-order elliptic eigenvalue problems. Hybridization reduces the Ravia...
Bernardo Cockburn, Jayadeep Gopalakrishnan, F. Li,...