CAD Model simplification error estimation for electrostatics problems

Rahimi, N., Kerfriden, P. ORCID: https://orcid.org/0000-0002-7749-3996, Langbein, F. C. ORCID: https://orcid.org/0000-0002-3379-0323 and Martin, R. R. 2018. CAD Model simplification error estimation for electrostatics problems. SIAM Journal on Scientific Computing 40 (1) , B196-B227. 10.1137/16M1078641

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Abstract

Simplifying the geometry of a CAD model using defeaturing techniques enables more efficient discretisation and subsequent simulation for engineering analysis problems. Understanding the effect this simplification has on the solution helps to decide whether the simplification is suitable for a specific simulation problem. It can also help to understand the functional effect of a geometry feature. The effect of the simplification is quantified by a user-defined quantity of interest which is assumed to be (approximately) linear in the solution. A bound on the difference between the quantity of interest of the original and simplified solutions based on the energy norm is derived. The approach is presented in the context of electrostatics problems, but can be applied in general to a range of elliptic partial differential equations. Numerical results on the efficiency of the bound are provided for electrostatics problems with simplifications involving changes inside the problem domain as well as changes to the boundaries.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Advanced Research Computing @ Cardiff (ARCCA) Computer Science & Informatics Engineering
Uncontrolled Keywords:	geometry simplification error, defeaturing, finite-element analysis, goal-oriented error estimation, electrostatics
Publisher:	Society for Industrial and Applied Mathematics
ISSN:	1064-8275
Funders:	EU FP7 Marie Curie ITN INSIST, grant agreement no 289361
Date of First Compliant Deposit:	22 August 2017
Date of Acceptance:	17 August 2017
Last Modified:	06 Nov 2023 20:54
URI:	https://orca.cardiff.ac.uk/id/eprint/103848

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