An a posteriori-driven adaptive Mixed High-Order method with application to electrostatics

JOURNAL OF COMPUTATIONAL PHYSICS

卷:326

Article

Di Pietro, Daniele A.¹  Specogna, Ruben² 

[1] Univ Montpellier, Inst Montpellierain Alexander Grothendieck, F-34095 Montpellier, France

[2] Univ Udine, Polytech Dept Engn & Architecture, I-33100 Udine, Italy

关键词: Electrostatics;    Computational electromagnetism;    Mixed High-Order methods;    Hybrid High-Order methods;    Discrete Geometric Approach;    Discontinuous skeletal methods;    Variable diffusion;    A posteriori error analysis;   

DOI  :  10.1016/j.jcp.2016.08.041

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free