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
Publications
Conference Publication
AIP Conference Proceedings
Mitchell S.L., Myers T.G.
DOI: 10.1063/1.3241367
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
Mitchell, SL; Myers, TG
ECMI 2008
Mitchell, S.L. and Myers, T.G.
Hydraulic Fracturing Summit VIII
Mitchell, S.L., Kuske, R., Peirce, A.P.
SANUM, 2007
Mitchell, S.L. and Myers, T.G.
SIAM Annual Meeting
Mitchell, S.L., Kuske, R., Peirce, A.P.
Hydraulic Fracturing Summit V
Mitchell, S.L., Kuske, R., Peirce, A.P.
Other Publication
Evaporative cooling and the Mpemba effect (vol 46, pg 881, 2010)
Vynnycky, M; Mitchell, SL; Maeno, N
Heat And Mass Transfer
DOI: 10.1007/s00231-010-0759-3
The laminar-turbulent transition of yield stress fluids in large pipes
Mitchell, SL; Myers, TG
Peer Reviewed Journal
On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion
Mitchell, SL,Vynnycky, M
Journal Of Computational And Applied Mathematics
DOI: 10.1016/j.cam.2015.12.021
Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change
Mitchell, SL
Journal Of Computational And Applied Mathematics
DOI: 10.1016/j.cam.2014.11.051
On the numerical solution of a Stefan problem with finite extinction time
Vynnycky, M,Mitchell, SL
Journal Of Computational And Applied Mathematics
DOI: 10.1016/j.cam.2014.08.023
Glacial melt under a porous debris layer
Evatt, GW,Abrahams, ID,Heil, M,Mayer, C,Kingslake, J,Mitchell, SL,Fowler, AC,Clark, CD
Journal Of Glaciology
DOI: 10.3189/2015Jo14J235
A mathematical model for nanoparticle melting with density change
Font, F,Myers, TG,Mitchell, SL
Microfluidics And Nanofluidics
DOI: 10.1007/s10404-014-1423-x
The oxygen diffusion problem: Analysis and numerical solution
Mitchell, SL,Vynnycky, M
Applied Mathematical Modelling
DOI: 10.1016/j.apm.2014.10.068
Mould-taper asymptotics and air gap formation in continuous casting
Florio, BJ,Vynnycky, M,Mitchell, SL,O'Brien, SBG
Applied Mathematics And Computation
DOI: 10.1016/j.amc.2015.07.011
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
Siam Journal On Applied Mathematics
DOI: 10.1137/120899200
An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue
Mitchell, SL
Applied Mathematical Modelling
DOI: 10.1016/j.apm.2014.02.021
Analysis and simplification of a mathematical model for high-pressure food processes
Smith, NAS,Mitchell, SL,Ramos, AM
Applied Mathematics And Computation
DOI: 10.1016/j.amc.2013.10.030
On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions
Mitchell, SL,Vynnycky, M
Journal Of Computational And Applied Mathematics
DOI: 10.1016/j.cam.2014.01.003
Reaction front formation in contaminant plumes
Cribbin, LB,Winstanley, HF,Mitchell, SL,Fowler, AC,Sander, GC
Journal Of Contaminant Hydrology
DOI: 10.1016/j.jconhyd.2014.10.006
One-dimensional solidification of supercooled melts
Font, F,Mitchell, SL,Myers, TG
International Journal Of Heat And Mass Transfer
DOI: 10.1016/j.ijheatmasstransfer.2013.02.070
ON THE ACCURACY OF A FINITE-DIFFERENCE METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS BOUNDARY CONDITIONS
Vynnycky, M,Mitchell, SL
Numerical Heat Transfer Part B-Fundamentals
DOI: 10.1080/10407790.2013.797312
Applying the combined integral method to one-dimensional ablation
Mitchell, SL
Applied Mathematical Modelling
DOI: 10.1016/j.apm.2011.05.032
Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers
Mitchell, SL,O'Brien, SBG
Applied Mathematics And Computation
DOI: 10.1016/j.amc.2012.06.026
An accurate finite-difference method for ablation-type Stefan problems
Mitchell, SL,Vynnycky, M
Journal Of Computational And Applied Mathematics
DOI: 10.1016/j.cam.2012.05.011
Energy conservation in the one-phase supercooled Stefan problem
Myers, TG,Mitchell, SL,Font, F
International Communications In Heat And Mass Transfer
DOI: 10.1016/j.icheatmasstransfer.2012.09.005
AN ACCURATE NODAL HEAT BALANCE INTEGRAL METHOD WITH SPATIAL SUBDIVISION
Mitchell, SL
Numerical Heat Transfer Part B-Fundamentals
DOI: 10.1080/10407790.2011.588133
Application of the combined integral method to Stefan problems
Myers, TG; Mitchell, SL
Applied Mathematical Modelling
DOI: 10.1016/j.apm.2011.02.049
An accurate numerical solution for the transient heating of an evaporating spherical droplet
Mitchell, SL; Vynnycky, M; Gusev, IG; Sazhin, SS
Applied Mathematics And Computation
DOI: 10.1016/j.amc.2011.03.161
Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions
Mitchell, SL; Myers, TG
International Journal Of Heat And Mass Transfer
DOI: 10.1016/j.ijheatmasstransfer.2010.04.015
Evaporative cooling and the Mpemba effect
Vynnycky, M; Mitchell, SL
Heat And Mass Transfer
DOI: 10.1007/s00231-010-0637-z
Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems
Mitchell, SL; Myers, TG
Siam Review
DOI: 10.1137/080733036
Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems
Mitchell, SL; Vynnycky, M
Applied Mathematics And Computation
DOI: 10.1016/j.amc.2009.07.054
APPLICATION OF THE HEAT-BALANCE AND REFINED INTEGRAL METHODS TO THE KORTEWEG-DE VRIES EQUATION
Myers, TG; Mitchell, SL
Thermal Science
DOI: 10.2298/TSCI0902113M
Approximate solution methods for one-dimensional solidification from an incoming fluid
Mitchell, SL; Myers, TG
Applied Mathematics And Computation
DOI: 10.1016/j.amc.2008.02.031
Heat balance integral method for one-dimensional finite ablation
Mitchell, SL; Myers, TG
Journal Of Thermophysics And Heat Transfer
DOI: 10.2514/1.31755
Unsteady contact melting of a rectangular cross-section material on a flat plate
Myers, TG; Mitchell, SL; Muchatibaya, G
Physics Of Fluids
DOI: 10.1063/1.2990751
Unsteady contact melting of a rectangular cross-section phase change material
Myers,TG; Mitchell, SL; Muchatibaya, G; Myers, TG; Mitchell, SL; Muchatibaya, G
Physics Of Fluids
A cubic heat balance integral method for one-dimensional melting of a finite thickness layer
Myers, TG; Mitchell, SL; Muchatibaya, G; Myers, MY
International Journal Of Heat And Mass Transfer
An asymptotic framework for finite hydraulic fractures including leak-off
Mitchell, SL; Kuske, R; Peirce, AP
S.I.A.M. Journal Of Applied Mathematics
An asymptotic framework for the analysis of hydraulic fractures: the impermeable case
Mitchell, SL , Kuske, R , Peirce, AP
Journal Of Applied Mechanics
Application of Box Schemes to Groundwater Flow Problems
Mitchell, SL; Morton, KW; Spence, A
Siam Journal On Scientific Computing