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A numerical framework to simplify CAD models for reliable estimates of physical quantities. (English) Zbl 1488.65639

Summary: The paper proposes a general numerical framework to simplify a CAD model into a volume mesh model under reliable control of certain prescribed physical quantity that the designer is interested in. Different from previous work, the proposed approach does not assume that the candidate features have been detected and can directly generate the simplified volume mesh model. In addition, it can efficiently estimate the quantitative impact of each individual feature via solving a linear equation of small dimension less than 10. This is achieved by reformulating the problem as estimating the solution differences caused by different stiffness matrices, using the combined approximation approach. Performance of this approach is demonstrated via numerical 2D examples.

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65D17 Computer-aided design (modeling of curves and surfaces)
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