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Curved composite boundary elements for second‐order two‐dimensional problems
Author(s) -
Silva Paul J.,
Mote C. D.
Publication year - 1988
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620260604
Subject(s) - boundary (topology) , enhanced data rates for gsm evolution , mathematics , geometry , finite element method , regular polygon , domain (mathematical analysis) , composite number , boundary element method , boundary value problem , mathematical analysis , structural engineering , engineering , algorithm , telecommunications
Finite elements with a curved edge often require relatively large numerical effort to form. 1–4 Relatively simple triangular elements with a single curved edge are developed in this paper for second‐order, two‐dimensional problems. A convex boundary element is formed as a composite of two straight‐edged triangles and a circular sector. Application of the convex composite boundary element results in less numerical effort for a comparable error in circular and elliptical domain test problems than the application of straight‐edged elements in all cases shown, and in most cases when compared to the curved isoparametric elements. For domains with concave boundaries, the application of straight‐edged, concave composite boundary and curved isoparametric elements give comparable accuracies and numerical efforts because of a fortuitous cancellation of error that occurs with straight‐edged elements in this case.