A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Computation of exterior moduli of quadrilaterals
Tekijät: Harri Hakula, Antti Rasila, Matti Vuorinen
Kustantaja: Kent State University
Kustannuspaikka: USA
Julkaisuvuosi: 2013
Journal: Electronic Transactions on Numerical Analysis
Tietokannassa oleva lehden nimi: Electronic Transactions on Numerical Analysis
Vuosikerta: 40
Aloitussivu: 436
Lopetussivu: 451
Sivujen määrä: 16
ISSN: 1068-9613
Verkko-osoite: http://www.emis.de/journals/ETNA/vol.40.2013/pp436-451.dir/pp436-451.pdf
We study the problem of computing the exterior modulus of a bounded quadrilateral. We reduce this problem to the numerical solution of the Dirichlet-Neumann problem for the Laplace equation. Several experimental results, with error estimates, are reported. Our main method makes use of an hp-FEM algorithm, which enables computations in the case of complicated geometry. For simple geometries, good agreement with computational results based on the SC Toolbox, is observed. We also use the reciprocal error estimation method introduced in our earlier paper to validate our numerical results. In particular, exponential convergence, in accordance with the theory of Babuška and Guo, is demonstrated. Copyright ©? 2013, Kent State University.