Prof. 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 AnalysisPeer 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 moreAn 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 moreAn 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 moreA 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 moreApplication 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 moreHydraulic Fracturing Summit VIII
Mitchell, S.L., Kuske, R., Peirce, A.P. (2008) Hydraulic Fracturing Summit VIII.
Read moreHydraulic Fracturing Summit V
Mitchell, S.L., Kuske, R., Peirce, A.P. (2005) Hydraulic Fracturing Summit V.
Read moreConference 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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