Publication details for Dr Stefano GianiGiani, S., Grubisic, L. & Ovall, J. (2012). Benchmark results for testing adaptive finite element eigenvalue procedures. Applied Numerical Mathematics 62(2): 121-140.
- Publication type: Journal Article
- ISSN/ISBN: 0168-9274 (print)
- DOI: 10.1016/j.apnum.2011.10.007
- Further publication details on publisher web site
Author(s) from Durham
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.