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The C-complementarities in the finite element method (FEM) are five canonical principles, completeness, continuity, consistency, correctness and correspondence, that guide the finite element method. These canonical virtues cannot be achieved at the same time, these are complementarities. While the first four are prescriptive rules to ensure robust elements, the last is a descriptive rule defining exactly how the procedure works from an organising principle like the least action principle. In science, as well as in art (life), one finds that it is not possible to achieve all virtues at the same time. Confucius noticed that life is full of contradictions and conflicts and what is most important is to seek harmony and balance. It is the same with finite element computation.
References
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- Prathap, G. and Mukherjee, S. (2004), Management-by-stress Model of Finite Element Computation, Research Report CM 0405, CSIR Centre for Mathematical Modelling and Computer Simulation, Bangalore, November 2004.[1]
Category:Continuum mechanics Category:Finite_element_method Category:Calculus of variations Category:Numerical differential equations Category:Structural analysis