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SIAMNUM
2010
137views more  SIAMNUM 2010»
13 years 2 months ago
A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem
In this paper we develop an a posteriori error analysis of a new conforming mixed finite element method for the coupling of fluid flow with porous media flow. The flows are govern...
Ivo Babuska, Gabriel N. Gatica
SIAMNUM
2010
115views more  SIAMNUM 2010»
13 years 2 months ago
Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusi
In this paper, we study the superconvergence property for the discontinuous Galerkin (DG) and the local discontinuous Galerkin (LDG) methods, for solving one-dimensional time depe...
Yingda Cheng, Chi-Wang Shu
SIAMNUM
2010
140views more  SIAMNUM 2010»
13 years 2 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
87views more  SIAMNUM 2010»
13 years 2 months ago
A Finite Element Method for Density Estimation with Gaussian Process Priors
Abstract. A variational problem characterizing the density estimator defined by the maximum a posteriori method with Gaussian process priors is derived. It is shown that this probl...
Michael Griebel, Markus Hegland
SIAMNUM
2010
103views more  SIAMNUM 2010»
13 years 2 months ago
Error Estimates for Space-Time Discretizations of a Rate-Independent Variational Inequality
This paper deals with error estimates for space-time discretizations in the context of nary variational inequalities of rate-independent type. After introducing a general abstract ...
Alexander Mielke, Laetitia Paoli, Adrien Petrov, U...