Benchmark results for testing adaptive finite element eigenvalue procedures
A discontinuous Galerkin method, with hp-adaptivity based on the approximate solution of appropriate dual problems, is employed for highly-accurate eigenvalue computations on a collection of benchmark examples. After demonstrating the effectivity of our computed error estimates on a few well-stu...
| Main Authors: | , , |
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| Format: | Article |
| Published: |
Elsevier
2011
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| Online Access: | https://eprints.nottingham.ac.uk/1430/ |
| Summary: | A discontinuous Galerkin method, with hp-adaptivity based on the approximate solution of appropriate dual problems, is employed for highly-accurate eigenvalue
computations on a collection of benchmark examples. After demonstrating the effectivity
of our computed error estimates on a few well-studied examples, we present results for several examples in which the coefficients of the partial-differential operators are discontinuous.
The problems considered here are put forward as benchmarks upon which other adaptive
methods for computing eigenvalues may be tested, with results compared to our own. |
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