@Article{CiCP-15-4,
author = {},
title = {Numerical Analysis of an Adaptive FEM for Distributed Flux Reconstruction},
journal = {Communications in Computational Physics},
year = {2014},
volume = {15},
number = {4},
pages = {1068--1090},
abstract = {<p style="text-align: justify;">This paper studies convergence analysis of an adaptive finite element algorithm
for numerical estimation of some unknown distributed flux in a stationary
heat conduction system, namely recovering the unknown Neumann data on interior
inaccessible boundary using Dirichlet measurement data on outer accessible boundary.
Besides global upper and lower bounds established in [23], a posteriori local upper
bounds and quasi-orthogonality results concerning the discretization errors of the
state and adjoint variables are derived. Convergence and quasi-optimality of the proposed
adaptive algorithm are rigorously proved. Numerical results are presented to
illustrate the quasi-optimality of the proposed adaptive method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.050313.210613s},
url = {https://global-sci.com/article/80523/numerical-analysis-of-an-adaptive-fem-for-distributed-flux-reconstruction}
}