The boundary element method applied to a moving free boundary problem

• Published in: International journal for numerical methods in engineering Vol. 46; no. 8; pp. 1335 - 1346
• Main Authors: Quinn, Dennis W., Oxley, Mark E., Vosika, Donald C.
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 20.11.1999
• Subjects: boundary element method; contaminant transport; diffusion equation; free boundary; moving boundary

In this paper a boundary problem is considered for which the boundary is to be determined as part of the solution. A time‐dependent problem involving linear diffusion in two spatial dimensions which results in a moving free boundary is posed. The fundamental solution is introduced and Green’s Theore...