ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991):65N15, 65N30, 65N50
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. 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 ${\Bbb R}^d$ , $d\in\{2,3\}$ . We describe a procedure to generate a sequence of bounded computational domains $\Omega_h^k$ , $k=1,2,...$ , more precisely, a sequence of successively finer and larger grids, until the desired accuracy of the solution $u_h$ 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050376
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