Mc. Stylianou et B. Tabarrok, CONSISTENT LOCAL ERROR COMPUTATIONS .1. THEORY, International journal for numerical methods in engineering, 39(19), 1996, pp. 3219-3234
In Part I of this paper we examine the notion of invariant quantities
in problems encountered in computational mechanics. These invariant qu
antities are then used to verify results obtained by numerical techniq
ues. Examples in rigid-body dynamics, elastostatics and unsteady-state
heat flow are presented. In Part II, we use the invariant quantities
to compute consistent local errors in a finite-element analysis.