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Goal-oriented error estimation and h-adaptivity for Maxwell’s equations

✍ Scribed by P. Ingelström; A. Bondeson

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
735 KB
Volume
192
Category
Article
ISSN
0045-7825

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✦ Synopsis

Goal-oriented error estimates, based on dual solutions, are derived for the S-parameters of a waveguide cavity resonator and a computationally cheap method is proposed to compute these. Numerical results show that the error estimators are relatively accurate, usually well within a factor 2 from the exact errors. Adaptive mesh-refinement based on these estimates recovers optimal convergence rates for complete and incomplete, first and second order, curl-conforming finite elements of N e ed e elec type, despite singularities at reentrant corners. It is also shown numerically that the convergence rate is independent of the element-order when singularities are present and the mesh is refined uniformly.

📜 SIMILAR VOLUMES

New approaches to error estimation and a
New approaches to error estimation and adaptivity for the Stokes and Oseen equations
✍ J.T. Oden; S. Prudhomme 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 214 KB 👁 1 views

We present a new approach to deliver reliable approximations of the norm of the residuals resulting from finite element solutions to the Stokes and Oseen equations. The method is based upon a global solve in a bubble space using iterative techniques. This provides an alternative to the classical equ