SIAMNUM
2010
13 years 6 months ago
2010
We derive a posteriori error estimates for the discretization of the heat equation in a unified and fully discrete setting comprising the discontinuous Galerkin, finite volume, mix...
SIAMNUM
2010
13 years 6 months ago
2010
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...
SIAMNUM
2010
13 years 6 months ago
2010
We present and analyze an algorithm to solve numerically BSDEs based on Picard's iterations and on a sequential control variate technique. Its convergence is geometric. Moreov...
SIAMNUM
2010
13 years 6 months ago
2010
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 ...
SIAMNUM
2010
13 years 6 months ago
2010
In [Z. Cai, C. Tong, P. S. Vassilevski, and C. Wang, Numer. Methods Partial Differential Equations, to appear], the authors developed and analyzed a mixed finite element method for...
SIAMNUM
2010
13 years 6 months ago
2010
Abstract. We study discontinuous Galerkin methods for solving elliptic variational inequalities, of both the first and second kinds. Analysis of numerous discontinuous Galerkin sch...
SIAMNUM
2010
13 years 6 months ago
2010
Polynomials with quaternionic coefficients located on only one side of the powers (we call them simple polynomials) may have two different types of zeros: isolated and spherical ze...
SIAMNUM
2010
13 years 6 months ago
2010
Hyperbolic cross approximations by some classical orthogonal polynomials/functions in both bounded and unbounded domains are considered in this paper. Optimal error estimates in pr...
SIAMNUM
2010
13 years 6 months ago
2010
In this paper we introduce a new class of diffeomorphic smoothers based on general spline smoothing techniques and on the use of some tools that have been recently developed in th...
SIAMNUM
2010
13 years 6 months ago
2010
We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric second order linear elliptic operators. The method is formulated on nonconforming meshes made of si...