| B. Dolsak. Defining a Geometric Mesh Model for FEM Analyses
Using Artificial Intelligence Techniques (in Slovene, with
English abstract), M.Sc. Thesis, University of Maribor, Faculty
of Technical Sciences, Slovenia, 1991.
B. Dolsak and S.Muggleton. The Application of Inductive Logic
Programming to Finite Element Mesh Design, Inductive Logic
Programming, Academic Press, 1992, pp. 453-472.
S. Dzeroski and B. Dolsak. Comparison of ILP Systems on the
Problem of Finite Element Mesh Design, ISSEK Workshop, Bled,
Slovenia, 1992.
B. Dolsak, A. Jezernik and I. Bratko. A Knowledge Base for
Finite Element Mesh Design. Artificial Intelligence in Engineering, 1995.
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| The resolution of a finite element (FE) mesh is determined by the number of elements on each of its edges. It depends on geometry of the body studied and on the boundary conditions. Given are descriptions of twelve structures for which experts have determined appropriate mesh resolution. They represent positive examples provided as facts of the form mesh(Edge,NumberOfElements). Background knowledge describes some of the factors that influence the resolution of a FE mesh, such as the type of edges, boundary conditions and loadings,as well as the shape of the structure (relations of neighbourhood). The problem is to learn rules that determine the resolution of a FE mesh for a given body from the geometry of the body, the types of edges, boundary conditions and loadings.
Background knowledge can be divided into two parts: attribute description of the edges and geometric relations between the edges. The used predicates have edges as arguments and they denote some attributes of the edges which pertain to the FE mesh, e.g.:
- the type of the considered edge (predicates long, usual, short, circuit, half_circuit, quarter_circuit, short_for_hole, long_for_hole, circuit_hole, half_circuit_hole, quarter_circuit_hole, not_important),
- the supports of the edge (predicates free, one_side_fixed, two_side_fixed, fixed),
- and its loads (not_loaded, one_side_loaded, two_side_loaded, cont_loaded).
The geometric representation is needed because the relationships between the edges seem to influence the FE mesh. Such an impact is clear e.g. in the case of the edges which are neighbouring or opposite (parallel) to each other. The dataset and relevant results are described in [Dolsak 91,92 and 95] and [Dzeroski 92]!
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and GMD 