Abstract
The finite element method is used extensively by engineers and modeling scientists to analyze deformations and stresses in physical structures. These structures are represented quantitatively as finite collections of elements. The displacement of each element is computed using algebraic equations. In order to design a numerical model of a physical structure it is necessary to decide the appropriate resolution for modeling each component part. Considerable expertise is required in choosing these resolution values. A too fine mesh leads to unnecessary computational overheads when executing the model. A too coarse mesh produces intolerable approximation errors. In this paper we demonstrate that rules for deciding on appropriate resolution values can be inductively constructed from expert provided examples. The Inductive Logic Programming algorithm Golem is employed for this purpose.
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