Abstract
A free boundary problem related to the stationary flow in a porous medium in which the capillary fringe is taken account of is analyzed and solved numerically. In particular two different numerical methods are applied. With the first method by means of a suitable transformation the solution of the problem is equivalent to the search for the minimum of a quadratic functional on a fixed domain. The second method applies a classical idea and determines the free boundary by means of successive approximations. The results of the two methods are compared with each other and with those obtained by means of an analogous model and found to be in good agreement. The first method, which is a new one, is better justified on a theoretical level and moreover is more convenient with regard to the programming effort and the execution time needed to carry it out on a computer.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Computer Methods in Applied Mechanics and Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
