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
The oxygen diffusion problem: Analysis and numerical solution
Mitchell, SL,Vynnycky, M (2015) The oxygen diffusion problem: Analysis and numerical solution. Applied Mathematical Modelling :2763-2776
On the numerical solution of a Stefan problem with finite extinction time
Vynnycky, M,Mitchell, SL (2015) On the numerical solution of a Stefan problem with finite extinction time. Journal Of Computational And Applied Mathematics :98-109
Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change
Mitchell, SL (2015) Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change. Journal Of Computational And Applied Mathematics :58-73
Glacial melt under a porous debris layer
Evatt, GW,Abrahams, ID,Heil, M,Mayer, C,Kingslake, J,Mitchell, SL,Fowler, AC,Clark, CD (2015) Glacial melt under a porous debris layer. Journal Of Glaciology :825-836
A mathematical model for nanoparticle melting with density change
Font, F,Myers, TG,Mitchell, SL (2015) A mathematical model for nanoparticle melting with density change. Microfluidics And Nanofluidics :233-243
Mould-taper asymptotics and air gap formation in continuous casting
Florio, BJ,Vynnycky, M,Mitchell, SL,O'Brien, SBG (2015) Mould-taper asymptotics and air gap formation in continuous casting. Applied Mathematics And Computation :1122-1139
Analysis and simplification of a mathematical model for high-pressure food processes
Smith, NAS,Mitchell, SL,Ramos, AM (2014) Analysis and simplification of a mathematical model for high-pressure food processes. Applied Mathematics And Computation :20-37
An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue
Mitchell, SL (2014) An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue. Applied Mathematical Modelling :4396-4408
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
On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions
Mitchell, SL,Vynnycky, M (2014) On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions. Journal Of Computational And Applied Mathematics :49-64
Reaction front formation in contaminant plumes
Cribbin, LB,Winstanley, HF,Mitchell, SL,Fowler, AC,Sander, GC (2014) Reaction front formation in contaminant plumes. Journal Of Contaminant Hydrology :12-21
One-dimensional solidification of supercooled melts
Font, F,Mitchell, SL,Myers, TG (2013) One-dimensional solidification of supercooled melts. International Journal Of Heat And Mass Transfer :411-421
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
Energy conservation in the one-phase supercooled Stefan problem
Myers, TG,Mitchell, SL,Font, F (2012) Energy conservation in the one-phase supercooled Stefan problem. International Communications In Heat And Mass Transfer :1522-1525
Applying the combined integral method to one-dimensional ablation
Mitchell, SL (2012) Applying the combined integral method to one-dimensional ablation. Applied Mathematical Modelling :127-138
An accurate finite-difference method for ablation-type Stefan problems
Mitchell, SL,Vynnycky, M (2012) An accurate finite-difference method for ablation-type Stefan problems. Journal Of Computational And Applied Mathematics :4181-4192
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
AN ACCURATE NODAL HEAT BALANCE INTEGRAL METHOD WITH SPATIAL SUBDIVISION
Mitchell, SL (2011) AN ACCURATE NODAL HEAT BALANCE INTEGRAL METHOD WITH SPATIAL SUBDIVISION. Numerical Heat Transfer Part B-Fundamentals :34-56
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
Application of the combined integral method to Stefan problems
Myers, TG; Mitchell, SL (2011) Application of the combined integral method to Stefan problems. Applied Mathematical Modelling :4281-4294
Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems
Mitchell, SL; Myers, TG (2010) Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems. Siam Review :57-86
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
Evaporative cooling and the Mpemba effect
Vynnycky, M; Mitchell, SL (2010) Evaporative cooling and the Mpemba effect. Heat And Mass Transfer :881-890
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
APPLICATION OF THE HEAT-BALANCE AND REFINED INTEGRAL METHODS TO THE KORTEWEG-DE VRIES EQUATION
Myers, TG; Mitchell, SL (2009) APPLICATION OF THE HEAT-BALANCE AND REFINED INTEGRAL METHODS TO THE KORTEWEG-DE VRIES EQUATION. Thermal Science :113-119
Unsteady contact melting of a rectangular cross-section material on a flat plate
Myers, TG; Mitchell, SL; Muchatibaya, G (2008) Unsteady contact melting of a rectangular cross-section material on a flat plate. Physics Of Fluids
Approximate solution methods for one-dimensional solidification from an incoming fluid
Mitchell, SL; Myers, TG (2008) Approximate solution methods for one-dimensional solidification from an incoming fluid. Applied Mathematics And Computation :311-326
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
Heat balance integral method for one-dimensional finite ablation
Mitchell, SL; Myers, TG (2008) Heat balance integral method for one-dimensional finite ablation. Journal Of Thermophysics And Heat Transfer :508-514
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
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
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
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
Books
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
AIP Conference Proceedings
Mitchell S.L., Myers T.G. (2009) AIP Conference Proceedings. :1450-1452
Hydraulic Fracturing Summit VIII
Mitchell, S.L., Kuske, R., Peirce, A.P. (2008) Hydraulic Fracturing Summit VIII.
ECMI 2008
Mitchell, S.L. and Myers, T.G. (2008) ECMI 2008.
SANUM, 2007
Mitchell, S.L. and Myers, T.G. (2007) SANUM, 2007.
SIAM Annual Meeting
Mitchell, S.L., Kuske, R., Peirce, A.P. (2006) SIAM Annual Meeting.
Hydraulic Fracturing Summit V
Mitchell, S.L., Kuske, R., Peirce, A.P. (2005) Hydraulic Fracturing Summit V.
Conference Contributions
Published Reports
Editorials
Book Reviews
Other Publications
Evaporative cooling and the Mpemba effect (vol 46, pg 881, 2010)
Vynnycky, M; Mitchell, SL; Maeno, N (2011) Evaporative cooling and the Mpemba effect (vol 46, pg 881, 2010). Heat And Mass Transfer :863-863
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.