Abstract
We examine the equivalence between an extension of the Lehmann-Maehly-Goerisch method developed a few years ago by Zimmermann andMertins, and a geometrically motivated method developed more recently byDavies and Plum. We establish a general framework which allows sharpeningvarious previously known results in these two settings and determine explicitconvergence estimates for both methods. We demonstrate the applicability ofthe method of Zimmermann and Mertins by means of numerical tests on theresonant cavity problem.
Original language | English |
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Journal | Numerische Mathematik |
Early online date | 9 Jul 2016 |
DOIs | |
Publication status | E-pub ahead of print - 9 Jul 2016 |
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Profiles
-
Lyonell Boulton
- School of Mathematical & Computer Sciences - Associate Professor
- School of Mathematical & Computer Sciences, Mathematics - Associate Professor
Person: Academic (Research & Teaching)