Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967846 | Journal of Computational Physics | 2016 | 21 Pages |
Abstract
In this work we propose an adaptive version of the recently introduced Mixed High-Order method and showcase its performance on a comprehensive set of academic and industrial problems in computational electromagnetism. The latter include, in particular, the numerical modeling of comb-drive and MEMS devices. Mesh adaptation is driven by newly derived, residual-based error estimators. The resulting method has several advantageous features: It supports fairly general meshes, it enables arbitrary approximation orders, and has a moderate computational cost thanks to hybridization and static condensation. The a posteriori-driven mesh refinement is shown to significantly enhance the performance on problems featuring singular solutions, allowing to fully exploit the high-order of approximation.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Daniele A. Di Pietro, Ruben Specogna,