Md. Rucki et Gr. Miller, AN ALGORITHMIC FRAMEWORK FOR FLEXIBLE FINITE ELEMENT-BASED STRUCTURALMODELING, Computer methods in applied mechanics and engineering, 136(3-4), 1996, pp. 363-384
A framework is presented that provides new levels of computational fle
xibility for general finite element-based structural modelling. The ap
proach is based on object-oriented programming methods in which the cl
asses defining the framework represent both traditional and non-tradit
ional finite element modelling abstractions. The framework supports a
wide range of algorithmic methods and techniques: degree of freedom- a
nd element-based, iterative and direct algorithms are accommodated for
solving linear and non-linear problems in static and dynamic contexts
. In order to adapt the solution to factors including the modelling as
sumptions, the required levels of efficiency and accuracy, and variati
ons in a model in space and over time, algorithms can be selected and
changed dynamically, and distinct algorithms can be used in different
parts of a model. An evaluation of the framework using various criteri
a shows that in addition to enabling new kinds of efficiencies, it exh
ibits performance comparable to traditional implementations in executi
ng fundamental computations.