Conforming rectangular mixed finite elements for elasticity (Q639413)

A family of rectangular mixed finite elements for the stress-displacement system of the phase elasticity problem is described in the paper. Estimates of a certain type on the convergence velocity are found. In the reviewer's opinion the estimates in the paper (see Theorems 2 and 3) are not of an interest neither from the numerical point of view nor from the theoretical point of view because the aggregates \(\| \sigma\|_{m, \Omega}\), \(\|\text{div} \sigma\|_{m, \Omega}\), \(\| u\|_{m, \Omega}\) in these estimates demand additional procedure of estimating with the use of the right-hand side \(f\), whereas obtaining of such estimations is very difficult.