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