SIAMNUM
2010
12 years 11 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...
MOC
2010
12 years 11 months ago
2010
We derive in this paper a unified framework for a priori and a posteriori error analysis of mixed finite element discretizations of second-order elliptic problems. It is based on ...
SIAMNUM
2011
12 years 12 months ago
2011
We derive energy-norm a posteriori error bounds for an Euler timestepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems. For acc...
SIAMNUM
2011
12 years 12 months ago
2011
We prove a posteriori error estimates for time discrete approximations, for semilinear parabolic equations with solutions that might blow-up in finite time. In particular we consi...
SIAMSC
2010
13 years 3 months ago
2010
For the finite volume discretization of a second-order elliptic model problem, we derive a posteriori error estimates which take into account an inexact solution of the associated...
SIAMSC
2010
13 years 3 months ago
2010
We develop an adaptive finite element method for solving the eddy current model with voltage excitations for complicated three dimensional structures. The mathematical model is ba...
SIAMSC
2010
13 years 3 months ago
2010
We propose certified reduced basis methods for the efficient and reliable evaluation of a general output that is implicitly connected to a given parameterized input through the ha...
SIAMSC
2010
13 years 3 months ago
2010
Abstract. We develop duality-based a posteriori error estimates for functional outputs of solutions of free-boundary problems via shape-linearization principles. To derive an appro...
SIAMSC
2010
13 years 3 months ago
2010
In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the hydrodynamic stability p...
MCS
2010
Springer
13 years 3 months ago
2010
Springer
Some aspects of goal-oriented a posteriori error estimation are addressed in the context of steady convection-diffusion equations. The difference between the exact and approxima...