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@article{faucris.115505984,
abstract = {We present an adaptive finite element method for solving elliptic problems in exterior domains, that is for problems in the exterior of a bounded closed domain in ℝ^{d}, d ∈ {2,3}. We describe a procedure to generate a sequence of bounded computational domains Ω^{k}h, k = 1, 2, ..., more precisely, a sequence of successively finer and larger grids, until the desired accuracy of the solution uh is reached. To this end we prove an a posteriori error estimate for the error on the unbounded domain in the energy norm by means of a residual based error estimator. Furthermore we prove convergence of the adaptive algorithm. Numerical examples show the optimal order of convergence.},
author = {Bänsch, Eberhard and Dörfler, Willy},
doi = {10.1007/s002110050376},
faupublication = {no},
journal = {Numerische Mathematik},
note = {UnivIS-Import:2015-03-05:Pub.1998.nat.dma.lama3.adapti},
pages = {497-523},
peerreviewed = {Yes},
title = {{Adaptive} {Finite} {Elements} for {Exterior} {Domain} {Problems}},
volume = {80},
year = {1998}
}