Corrigendum to: A CBS-type stabilizing algorithm for the consolidation of saturated porous media (International Journal for Numerical Methods in Engineering, (2005), 63, 4, (502-527), 10.1002/nme.1275)

While deriving the theoretical part of paper [1] again for chapter 5 in the book “Computational Geomechanics: Theory and Applications”, Second Edition, with authors A. Chan, M. Pastor, B. Schrefler, T. Shiomi, O. C. Zienkiewicz, ISBN9781118350478, in print at Wiley, the senior author discovered errors in some equations of this paper. The errors occurred during the transcription of the mass balance equation of the fluid phase from the second edition of the textbook [2]. The procedure has not been implemented as indicated in the original Equation (24) of [1] but the component matrices have been introduced in the code PLASCON listed in [2]. Hence the errors in the procedure do not affect the results published in [1] also because the effect of the difference in the matrix (21c) is minimal as shown by the validation example in [1].¹ The correct equations are: 14 (Formula presented.) 14b (Formula presented.) 18 (Formula presented.) 21 (Formula presented.) 21′ (Formula presented.) 21c (Formula presented.) 24 (Formula presented.) The same errors appear also in the mass balance equations of the fluid phase in a further paper [3] on the topic and the necessary changes are as listed below: Equation (10) should read like Equation (14b) above. Equation (11a) should read like the first one of Equation (18) above. Equation (13a) should read like Equation (21) above. Equation (13d) should read like Equation (21c) above. Equation (14a) should read like Equation (21′) above. Equation (29) becomes (Formula presented.) and Equation (47) should read (Formula presented.) The same remarks as above for the implementation in the code PLASCON apply.