Accepted Manuscript Stabilized Lagrange multiplier method for elliptic and parabolic interface problems Ajit Patel, Sanjib Kumar Acharya, Amiya Kumar Pani PII: S0168-9274(17)30135-6 DOI: http://dx.doi.org/10.1016/j.apnum.2017.05.011 Reference: APNUM 3217 To appear in: Applied Numerical Mathematics Received date: 14 March 2016 Revised date: 22 May 2017 Accepted date: 29 May 2017 Please cite this article in press as: A. Patel et al., Stabilized Lagrange multiplier method for elliptic and parabolic interface problems, Appl. Numer. Math. (2017), http://dx.doi.org/10.1016/j.apnum.2017.05.011 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.