# Dr. Sarah Mitchell

## Biography

Sarah Mitchell is a Senior Lecturer and Head of the Department of Mathematics and Statistics at the University of Limerick (UL). She obtained her undergraduate degree in 1999 (MMath in Mathematics) and her PhD in 2003, both from the University of Bath, UK. Afterwards she took up two postdoc positions in Canada (University of British Columbia, 2003-2006) and South Africa (University of Cape Town, 2006-2008), before starting a lectureship position in Applied Mathematics at UL in January 2008. In September 2013 she became Deputy Head of Department and then took over as Head in September 2016.Her main research interests are in numerical and mathematical modelling of moving boundary problems relevant to solidification (such as casting of metals) or melting (such as glaciers) and modelling drug diffusion in glassy polymers.## Research Interests

Mathematical Modelling, Numerical Analysis## Peer Reviewed Journals

### On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion

Mitchell, SL,Vynnycky, M (2016) On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion. Journal Of Computational And Applied Mathematics :259-274

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### ASYMPTOTIC AND NUMERICAL SOLUTIONS OF A FREE BOUNDARY PROBLEM FOR THE SORPTION OF A FINITE AMOUNT OF SOLVENT INTO A GLASSY POLYMER

Mitchell, SL,O'Brien, SBG (2014) ASYMPTOTIC AND NUMERICAL SOLUTIONS OF A FREE BOUNDARY PROBLEM FOR THE SORPTION OF A FINITE AMOUNT OF SOLVENT INTO A GLASSY POLYMER. Siam Journal On Applied Mathematics :697-723

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### ON THE ACCURACY OF A FINITE-DIFFERENCE METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS

Vynnycky, M,Mitchell, SL (2013) ON THE ACCURACY OF A FINITE-DIFFERENCE METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS. Numerical Heat Transfer Part B-Fundamentals :275-292

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### Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers

Mitchell, SL,O'Brien, SBG (2012) Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers. Applied Mathematics And Computation :376-388

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### An accurate numerical solution for the transient heating of an evaporating spherical droplet

Mitchell, SL; Vynnycky, M; Gusev, IG; Sazhin, SS (2011) An accurate numerical solution for the transient heating of an evaporating spherical droplet. Applied Mathematics And Computation :9219-9233

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### Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions

Mitchell, SL; Myers, TG (2010) Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions. International Journal Of Heat And Mass Transfer :3540-3551

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### Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems

Mitchell, SL; Vynnycky, M (2009) Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems. Applied Mathematics And Computation :1609-1621

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### Unsteady contact melting of a rectangular cross-section phase change material

Myers,TG; Mitchell, SL; Muchatibaya, G; Myers, TG; Mitchell, SL; Muchatibaya, G (2008) Unsteady contact melting of a rectangular cross-section phase change material. Physics Of Fluids

Read more### An asymptotic framework for the analysis of hydraulic fractures: the impermeable case

Mitchell, SL , Kuske, R , Peirce, AP (2007) An asymptotic framework for the analysis of hydraulic fractures: the impermeable case. Journal Of Applied Mechanics :365-372

Read more### A cubic heat balance integral method for one-dimensional melting of a finite thickness layer

Myers, TG; Mitchell, SL; Muchatibaya, G; Myers, MY (2007) A cubic heat balance integral method for one-dimensional melting of a finite thickness layer. International Journal Of Heat And Mass Transfer :5307-5315

Read more### An asymptotic framework for finite hydraulic fractures including leak-off

Mitchell, SL; Kuske, R; Peirce, AP (2007) An asymptotic framework for finite hydraulic fractures including leak-off. S.I.A.M. Journal Of Applied Mathematics :364-386

Read more### Application of Box Schemes to Groundwater Flow Problems

Mitchell, SL; Morton, KW; Spence, A (2006) Application of Box Schemes to Groundwater Flow Problems. Siam Journal On Scientific Computing :1202-1225

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## Book Chapters

## Edited Books

## Other Journals

## Conference Publications

### NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2

Mitchell, SL; Myers, TG (2009) NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2. :1450-1452

Read more### Hydraulic Fracturing Summit VIII

Mitchell, S.L., Kuske, R., Peirce, A.P. (2008) Hydraulic Fracturing Summit VIII.

Read more### Hydraulic Fracturing Summit V

Mitchell, S.L., Kuske, R., Peirce, A.P. (2005) Hydraulic Fracturing Summit V.

Read more## Conference Contributions

## Published Reports

## Editorials

## Book Reviews

## Other Publications

### The laminar-turbulent transition of yield stress fluids in large pipes

Mitchell, SL; Myers, TG (2007) The laminar-turbulent transition of yield stress fluids in large pipes.

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