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JSCIC
2008
98views more  JSCIC 2008»
13 years 7 months ago
A Posteriori Error Estimates for Parabolic Variational Inequalities
We study a posteriori error estimates in the energy norm for some parabolic obstacle problems discretized with a Euler implicit time scheme combined with a finite element spatial ...
Yves Achdou, Frédéric Hecht, David P...
SIAMSC
2010
192views more  SIAMSC 2010»
13 years 5 months ago
Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows
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...
K. Andrew Cliffe, Edward J. C. Hall, Paul Houston
IFIP
2005
Springer
14 years 14 days ago
Numerical Approximation of a Control Problem for Advection-Diffusion Processes
Two different approaches are proposed to enhance the efficiency of the numerical resolution of optimal control problems governed by a linear advection– diffusion equation. In ...
Alfio Quarteroni, Gianluigi Rozza, L. Dedè,...
MOC
2002
92views more  MOC 2002»
13 years 6 months ago
Error indicators for the mortar finite element discretization of the Laplace equation
The mortar technique turns out to be well adapted to handle mesh adaptivity in finite elements, since it allows for working with nonnecessarily compatible discretizations on the el...
Christine Bernardi, Frédéric Hecht
SIAMJO
2011
13 years 1 months ago
Adaptive Multilevel Inexact SQP Methods for PDE-Constrained Optimization
We present a class of inexact adaptive multilevel trust-region SQP-methods for the efficient solution of optimization problems governed by nonlinear partial differential equations...
J. Carsten Ziems, Stefan Ulbrich