scholarly journals Domain decomposition for parallel adaptive finite element algorithm

2010 ◽  
pp. 141-154 ◽  
Author(s):  
S.P. Kopysov ◽  
◽  
A.K. Novikov ◽  
Keyword(s):  
Finite Element ◽  
Domain Decomposition ◽  
Adaptive Finite Element ◽  
Element Algorithm

A hp adaptive finite element algorithm for fluorescence molecular tomography based on SPN model

2013 ◽  
Author(s):  
Hongbo Guo ◽  
Yuqing Hou ◽  
Xiaowei He ◽  
Jingjing Yu ◽  
Jingxing Cheng ◽  
...  
Keyword(s):  
Finite Element ◽  
Adaptive Finite Element ◽  
Fluorescence Molecular Tomography ◽  
Element Algorithm

scholarly journals Quasi-optimality of an Adaptive Finite Element Method for an Optimal Control Problem

2011 ◽  
Vol 11 (2) ◽  
pp. 107-128 ◽  
Author(s):  
Roland Becker ◽  
Shipeng Mao
Keyword(s):  
Optimal Control ◽  
Finite Element ◽  
Posteriori Error ◽  
Adaptive Finite Element Method ◽  
Error Estimator ◽  
Adaptive Finite Element ◽  
Posteriori Error Estimator ◽  
A Posteriori Error ◽  
Data Approximation ◽  
Element Algorithm

Abstract We prove quasi-optimality of an adaptive finite element algorithm for a model problem of optimal control including control constraints. The quasi-optimility expresses the fact that the decrease of error with respect to the number of mesh cells is optimal up to a constant. The considered algorithm is based on an adaptive marking strategy which compares a standard residualtype a posteriori error estimator with a data approximation term in each step of the algorithm in order to adapt the marking of cells.

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