On Exact and Hieracrhical Finite Elements for Frame Structures

Ragnar Larsson and Nils-Erik Wiberg
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Ragnar Larsson: Chalmers Univ. of Techn., Dep. of Struc. Mech.
Nils-Erik Wiberg: Chalmers Univ. of Techn., Dep. of Struc. Mech.

Chapter D22 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 187-195 from Springer

Abstract: Summary If the approximation exactly fulfills the differential equation the FE-method is said to be exact. A single element then represents a continuous part of the structure and only a few elements are sufficient for an accurate result. The paper gives a unified discussion of the exact FE-method for frame structures and also shows that the load term can be handled by use of one ‘exact’ hierarchical base function.

Date: 1987
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DOI: 10.1007/978-94-009-3653-9_22

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