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SIAMJO
2011
8 years 20 days 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
SIAMNUM
2010
87views more  SIAMNUM 2010»
8 years 29 days ago
Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations
In this paper, we first study two flux recovery procedures for the conforming finite element approximation to general second-order elliptic partial differential equations. One is a...
Zhiqiang Cai, Shun Zhang
SIAMNUM
2010
91views more  SIAMNUM 2010»
8 years 29 days ago
Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements
Abstract. In [9], we introduced and analyzed a recovery-based a posteriori error estimator for conforming linear finite element approximation to interface problems. It was shown th...
Zhiqiang Cai, Shun Zhang
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