Alan Hegarty
Senior Lecturer
| Year | Publication | |
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| 2000 | Robust Computational Techniques for Boundary Layers.
Farrell, PA; Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI (2000) Robust Computational Techniques for Boundary Layers. Boca raton, Florida: Chapman & Hall/CRC. [Details] |
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| 2009 | BAIL 2008 - Boundary and Interior Layers, Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008, Lecture Notes in Computational Science and Engineering, 69.
Hegarty, AF; Kopteva, N; O'Riordan, E; Stynes, M (Eds) (2009) BAIL 2008 - Boundary and Interior Layers, Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008, Lecture Notes in Computational Science and Engineering, 69. Berlin Heidelberg: Springer. [Details] |
| Year | Publication | |
|---|---|---|
| 1993 | 'Key to the computation of the transfer of a substance by convection-diffusion in a laminar fluid'
Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI (1993) 'Key to the computation of the transfer of a substance by convection-diffusion in a laminar fluid' In: Applications of Advanced Computational Methods for Boundary and Interior Layers. [Details] |
| Year | Publication | |
|---|---|---|
| 1993 | 'A COMPARISON OF UNIFORMLY CONVERGENT DIFFERENCE-SCHEMES FOR 2-DIMENSIONAL CONVECTION DIFFUSION-PROBLEMS'
HEGARTY, AF; ORIORDAN, E; STYNES, M (1993) 'A COMPARISON OF UNIFORMLY CONVERGENT DIFFERENCE-SCHEMES FOR 2-DIMENSIONAL CONVECTION DIFFUSION-PROBLEMS'. JOURNAL OF COMPUTATIONAL PHYSICS, 105 (1):24-32 [DOI] [Details] |
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| 1994 | 'USE OF CENTRAL-DIFFERENCE OPERATORS FOR SOLUTION OF SINGULARLY PERTURBED PROBLEMS'
HEGARTY, AF; MILLER, JJH; ORIORDAN, E; SHISHKIN, GI (1994) 'USE OF CENTRAL-DIFFERENCE OPERATORS FOR SOLUTION OF SINGULARLY PERTURBED PROBLEMS'. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 10 (4):297-302 [DOI] [Details] |
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| 1994 | 'Special numerical methods for convection-dominated laminar flows at arbitrary Reynolds number'
Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI (1994) 'Special numerical methods for convection-dominated laminar flows at arbitrary Reynolds number'. J. NUMERICAL MATHEMATICS, 2 (1):65-74 [Details] |
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| 1995 | 'ON A NOVEL MESH FOR THE REGULAR BOUNDARY-LAYERS ARISING IN ADVECTION-DOMINATED TRANSPORT IN 2 DIMENSIONS'
HEGARTY, AF; MILLER, JJH; ORIORDAN, E; SHISHKIN, GI (1995) 'ON A NOVEL MESH FOR THE REGULAR BOUNDARY-LAYERS ARISING IN ADVECTION-DOMINATED TRANSPORT IN 2 DIMENSIONS'. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 11 (5):435-441 [DOI] [Details] |
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| 1995 | 'NUMERICAL RESULTS FOR ADVECTION-DOMINATED HEAT-TRANSFER IN A MOVING FLUID WITH A NON-SLIP BOUNDARY-CONDITION'
HEGARTY, AF; MILLER, JJH; ORIORDAN, E; SHISHKIN, GI (1995) 'NUMERICAL RESULTS FOR ADVECTION-DOMINATED HEAT-TRANSFER IN A MOVING FLUID WITH A NON-SLIP BOUNDARY-CONDITION'. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 5 (2):131-140 [DOI] [Details] |
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| 1995 | 'SPECIAL MESHES FOR FINITE-DIFFERENCE APPROXIMATIONS TO AN ADVECTION-DIFFUSION EQUATION WITH PARABOLIC LAYERS'
HEGARTY, AF; MILLER, JJH; ORIORDAN, E; SHISHKIN, GI (1995) 'SPECIAL MESHES FOR FINITE-DIFFERENCE APPROXIMATIONS TO AN ADVECTION-DIFFUSION EQUATION WITH PARABOLIC LAYERS'. JOURNAL OF COMPUTATIONAL PHYSICS, 117 (1):47-54 [DOI] [Details] |
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| 1997 | 'Numerical results for advection-convection problems on fitted meshes'
Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI (1997) 'Numerical results for advection-convection problems on fitted meshes'. CWI QUARTERLY, 10 (3-4):235-289 [Details] |
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| 2001 | 'Parameter-uniform numerical methods for a class of singularly perturbed problems with a Neumann boundary condition'
Farrell, PA; Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI (2001) 'Parameter-uniform numerical methods for a class of singularly perturbed problems with a Neumann boundary condition'. NUMERICAL ANALYSIS AND ITS APPLICATIONS, 1988 :292-303 [Details] |
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| 2001 | 'On a necessary requirement for re-uniform numerical methods to solve boundary layer equations for flow along a flat plate'
Shishkin, GI; Farrell, PA; Hegarty, AF; Miller, JJH; O'Riordan, E (2001) 'On a necessary requirement for re-uniform numerical methods to solve boundary layer equations for flow along a flat plate'. NUMERICAL ANALYSIS AND ITS APPLICATIONS, 1988 :723-731 [Details] |
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| 2001 | 'On a necessary requirement for re-uniform numerical methods to solve boundary layer equations for flow along a flat plate'
Shishkin, GI; Farrell, PA; Hegarty, AF; Miller, JJH; O'Riordan, E (2001) 'On a necessary requirement for re-uniform numerical methods to solve boundary layer equations for flow along a flat plate'. LECTURE NOTES IN COMPUTER SCIENCE, 1988 (*):723-731 [Details] |
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| 2001 | 'A parameter robust method for a problem with a symmetry boundary layer'
Ansari, AR; Hegarty, AF; Shishkin, GI (2001) 'A parameter robust method for a problem with a symmetry boundary layer'. NUMERICAL ANALYSIS AND ITS APPLICATIONS, 1988 :18-26 [Details] |
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| 2002 | 'An experimental technique for computing parameter-uniform error estimates for numerical solutions of singular perturbation problems, with an application to Prandtl's problem at high Reynolds number'
Farrell, PA; Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI (2002) 'An experimental technique for computing parameter-uniform error estimates for numerical solutions of singular perturbation problems, with an application to Prandtl's problem at high Reynolds number'. APPLIED NUMERICAL MATHEMATICS, 40 (1-2):143-149 [DOI] [Details] |
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| 2003 | 'Numerical solution of a rimming flow problem using a moving mesh method'
Hegarty, AF;O'Brien, SB; Sikwila, S (2003) 'Numerical solution of a rimming flow problem using a moving mesh method'. COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 3 (3):373-386 [Details] |
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| 2003 | 'Numerical solution of a convection diffusion problem with Robin boundary conditions'
Ansari, AR; Hegarty, AF (2003) 'Numerical solution of a convection diffusion problem with Robin boundary conditions'. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 156 (1):221-238 [DOI] [Details] |
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| 2003 | 'A note on fitted operator methods for a laminar jet problem'
Ansari, AR; Hegarty, AF; Shishkin, GI (2003) 'A note on fitted operator methods for a laminar jet problem'. APPLIED NUMERICAL MATHEMATICS, 45 (4):353-365 [DOI] [Details] |
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| 2003 | 'A note on iterative methods for solving singularly perturbed problems using non-monotone methods on Shishkin meshes'
Ansari, AR; Hegarty, AF (2003) 'A note on iterative methods for solving singularly perturbed problems using non-monotone methods on Shishkin meshes'. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 192 (33-34):3673-3687 [DOI] [Details] |
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| 2003 | 'Computing realistic Reynolds-uniform error bound's for discrete derivatives of flow velocities in the boundary layer for Prandtl's problem'
Farrell, PA; Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI (2003) 'Computing realistic Reynolds-uniform error bound's for discrete derivatives of flow velocities in the boundary layer for Prandtl's problem'. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 43 (8):895-902 [DOI] [Details] |
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| 2003 | 'Parameter-uniform numerical methods for a laminar jet problem'
Ansari, AR; Hegarty, AF; Shishkin, GI (2003) 'Parameter-uniform numerical methods for a laminar jet problem'. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 43 (8):937-951 [DOI] [Details] |
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| 2003 | 'Numerical techniques for flow problems with singularities'
Farrell, PA; Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI (2003) 'Numerical techniques for flow problems with singularities'. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 43 (8):915-936 [DOI] [Details] |
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| 2004 | 'Singularly perturbed convection-diffusion problems with boundary and weak interior layers'
Farrell, PA; Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI (2004) 'Singularly perturbed convection-diffusion problems with boundary and weak interior layers'. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 166 (1):133-151 [DOI] [Details] |
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| 2004 | 'Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient'
Farrell, PA; Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI (2004) 'Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient'. MATHEMATICAL AND COMPUTER MODELLING, 40 (11-12):1375-1392 [DOI] [Details] |
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| 2009 | 'A shunted model of renal inner medulla with pre-bend transitions: Comparison with multi-nephron models'
Gonzalez M, Thomas SR, Hegarty AF (2009) 'A shunted model of renal inner medulla with pre-bend transitions: Comparison with multi-nephron models'. Faseb Journal, 23 (1):818.7-818.7-818.7-818.7 [DOI] [Details] |
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| 2017 | 'Parameter-uniform numerical method for singularly perturbed convection-diffusion problem on a circular domain'
Hegarty, AF,O'Riordan, E (2017) 'Parameter-uniform numerical method for singularly perturbed convection-diffusion problem on a circular domain'. Advances In Computational Mathematics, 43 :885-909 [DOI] [Details] |
| Year | Publication | |
|---|---|---|
| 1980 | First International Conference on Computational and Asymptotic Methods for Boundary and Interior Layers (BAIL I)
Farrell P.A., Hegarty A.F., Miller J.J.H., O'Reilly M.J. and Sloane A.A. (1980) Numerical results for singularly perturbed linear and quasi-linear differential equations using a coarse grid . In: J.J.H. Miller eds. First International Conference on Computational and Asymptotic Methods for Boundary and Interior Layers (BAIL I) , 01-JUN-80 - 05-JUN-80 , pp.275-280 [Details] |
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| 1980 | First International Conference on Computational and Asymptotic Methods for Boundary and Interior Layers (BAIL I)
Hegarty A.F., Miller J.J.H. and O'Riordan E. (1980) Uniform second order difference schemes for singular perturbation problems . In: J.J.H. Miller eds. First International Conference on Computational and Asymptotic Methods for Boundary and Interior Layers (BAIL I) , 01-JUN-80 - 05-JUN-80 , pp.301-305 [Details] |
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| 1982 | Second International Conference on Computational and Asymptotic Methods for Boundary and Interior Layers (BAIL II)
Hegarty, A.F. (1982) Uniformly difference schemes for a two-dimensional singular perturbation problem . In: J.J.H. Miller eds. Second International Conference on Computational and Asymptotic Methods for Boundary and Interior Layers (BAIL II) , 14-JUN-82 - 18-JUN-82 , pp.263-268 [Details] |
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| 1986 | Fourth International Conference on Computational and Asymptotic Methods for Boundary and Interior Layers (BAIL IV)
Hegarty, A.F. (1986) Uniformly accurate methods for two-dimensional singular perturbation problems . In: J.J.H. Miller and Novikov eds. Fourth International Conference on Computational and Asymptotic Methods for Boundary and Interior Layers (BAIL IV) , 10-JUL-86 - 15-JUL-86 , pp.314-319 [Details] |
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| 1991 | 13th IMACS World Congress
Hegarty A.F., Miller J.J.H., O'Riordan E. and Shishkin G.I. (1991) Special meshes for two dimensional elliptic singular perturbation problems . In: R. Vichnevetsky and J.J.H. Miller eds. 13th IMACS World Congress , 22-JUL-91 - 26-JUL-91 , pp.503-504 [Details] |
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| 1991 | 13th IMACS World Congress
Farrell P.A. and Hegarty A.F. (1991) On the Determination of the Order of Uniform Convergence . In: R. Vichnevetsky and J.J.H. Miller eds. 13th IMACS World Congress , 22-JUL-91 - 26-JUL-91 , pp.501-502 [Details] |
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| 1992 | BAIL VI
HEGARTY, AF; MILLER, JJH; ORIORDAN, E; SHISHKIN, GI (1992) NUMERICAL RESULTS FOR A CONVECTION-DIFFUSION PROBLEM WITH A NON-SLIP CONDITION BAIL VI , pp.67-68 [Details] |
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| 1995 | September Meeting, Irish Mathematical Society
Hegarty, A.F. (1995) Numerical solution of convection-diffusion problems on Shishkin meshes . In: * eds. September Meeting, Irish Mathematical Society , 02-SEP-95 - 04-SEP-95 , pp.*-* [Details] |
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| 1995 | Meeting on Singular Perturbation Problems
Hegarty A.F. (1995) Numerical solution of singular perturbation problems using central difference operators on special meshes . In: * eds. Meeting on Singular Perturbation Problems , 21-JAN-95 - 24-JAN-95 , pp.*-* [Details] |
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| 1999 | International Seminar on Applied Mathematics '91
O'Riordan E., Hegarty A.F. and Stynes M. (1999) Construction and analysis of some exponentially upwinded finite element methods for singularly perturbed two-dimensional elliptic problems . In: H.-G. Roos, A. Felgenhauer, L. Angermann eds. International Seminar on Applied Mathematics '91 , 30-DEC-99 - 30-DEC-99 , pp.91-96 [Details] |
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| 2001 | Eccomas Computational Fluid Dynamics Conference
Ansari A.R., Hegarty A.F. and Shishkin G.I. (2001) Parameter-uniform numerical methods for a laminar jet problem . In: * eds. Eccomas Computational Fluid Dynamics Conference , 02-SEP-01 - 07-SEP-01 , pp.*-* [Details] |
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| 2001 | Eccomas Computational Fluid Dynamics Conference
Farrell P.A., Hegarty A.F., Miller J.J.H., O'Riordan E. and Shishkin G.I. (2001) Computing realistic Reynolds¿uniform error bounds for discrete derivatives of flow velocities in the boundary layer for Prandtl¿s problem . In: * eds. Eccomas Computational Fluid Dynamics Conference , 02-SEP-01 - 07-SEP-01 , pp.*-* [Details] |
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| 2002 | BAIL 2002
Ansari, A.R. and Hegarty, A.F. (2002) On the use of effective preconditioners for solving singularly perturbed problems using non-monotone methods on Shishkin meshes . In: * eds. BAIL 2002 , 08-JUL-02 - 12-JUL-02 , pp.43-48 [Details] |
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| 2002 | BAIL 2002
Farrell, P.A., Hegarty, A.F., Miller, J.J.H., O'Riordan, E. and Shishkin. G.I. (2002) Singularly perturbed convection diffusion problems with boundary and weak interior layers . In: S.Wang eds. BAIL 2002 , 08-JUL-02 - 12-JUL-02 , pp.115-120 [Details] |
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| 2004 | 3rd Annual Workshop on Numerical Methods for Problems with Layer Phenomena
Sikwila, S., Hegarty, A.F. and Shishkin, G.I., (2004) Numerical Solution of Problems with Boundary and Interior Layers using an Adaptive Mesh Method., , Ireland, pp. 52-58. 2004 . In: Ansari, A.R., Hegarty, A.F. and Shishkin, G.I eds. 3rd Annual Workshop on Numerical Methods for Problems with Layer Phenomena , 09-FEB-04 - 10-FEB-04 , pp.52-58 [Details] |
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| 2004 | BAIL 2004
Ansari, A.R., Hegarty, A.F. and Shishkin, G.I. (2004) Robust numerical solution of a turbulent jet problem . In: * eds. BAIL 2004 , 01-JUL-04 - 04-JUL-04 , pp.*-* [Details] |
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| 2004 | 3rd Annual Workshop on Numerical Methods for Problems with Layer Phenomena
Ansari, A.R., Hegarty, A.F. and Shishkin, G.I. (2004) Numerical solution of the turbulent jet problem. In: Proceedings of the 3rd Annual Workshop on Numerical Methods for Problems with Layer Phenomena, University of Limerick, Ireland, pp. 70-75. 2004 . In: Ansari, A.R., Hegarty, A.F. and Shishkin, G.I eds. 3rd Annual Workshop on Numerical Methods for Problems with Layer Phenomena , 09-FEB-04 - 10-FEB-04 , pp.70-75 [Details] |
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| 2004 | BAIL 2004
Sikwila, S., Hegarty, A.F. and Shishkin, G.I. (2004) Novel robust adaptive techniques for the numerical solution of convection diffusion problems . In: * eds. BAIL 2004 , 01-JUL-04 - 08-JUL-04 , pp.*-* [Details] |
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| 2005 | Biennial Numerical Analysis Conference
Sikwila, S., Hegarty, A.F. and Shishkin, G.I. (2005) An adaptive mesh method for a singularly perturbed convection-diffusion problem . In: * eds. Biennial Numerical Analysis Conference , 28-JUN-05 - 01-JUL-05 , pp.*-* [Details] |
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| 2005 | 2nd International Conference, Computational Methods in Applied Mathematics
Sikwila, S., Hegarty, A.F. and Shishkin, G.I. (2005) An adaptive method for the robust numerical solution of convection diffusion problems . In: * eds. 2nd International Conference, Computational Methods in Applied Mathematics , 01-JUN-05 - 05-JUN-05 , pp.*-* [Details] |
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| 2006 | BAIL 2006
Branley, D., Hegarty, A.F., Purtill, H., Shishkin, G.I. (2006) On a Schwarz Method for a Singularly Peturbed Convection-Diffusion Problem with Discontinuous Boundary Data . In: G. Lube, G. Rapin eds. BAIL 2006 , 24-JUL-06 - 28-JUL-06 , pp.*-* [Details] |
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| 2006 | BAIL 2006
Hegarty,A.F., Sikwila, S., Shiskin, G.I. (2006) An adaptive method for the numerical solution of an elliptic convection diffusion problem . In: G. Lube, G.Rapin eds. BAIL 2006 , 24-JUL-06 - 28-JUL-06 , pp.*-* [Details] |
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| 2009 | Lecture Notes in Computational Science and Engineering
Hegarty A.F., Gonzalez M., Thomas S.R. (2009) Glycolysis as a source of External Osmoles: The vasa recta transient model Lecture Notes in Computational Science and Engineering , pp.153-161 [DOI] [Details] |
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| 2009 | AIP Conference Proceedings
Gonzalez M.T., Hegarty A.F., Thomas S.R. (2009) A shunt model of the inner medullary nephron with pre-bend transitions AIP Conference Proceedings , pp.1469-1471 [DOI] [Details] |
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| 2009 | NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
Gonzalez, MT; Hegarty, AF; Thomas, SR (2009) A Shunt Model of the Inner Medullary Nephron with Pre-Bend Transitions NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 , pp.1469-1471 [Details] |
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| 2012 | 6th International Conference on Boundary and Interior Layers (BAIL VI)
Hegarty A.F., Miller J.J.H., O'Riordan E. and Shishkin G.I.,Menakuru, S.,Ahmed, J.,Larvin, M.,Leeder, P. (2012) Numerical results for a convection-diffusion problem with a non-slip condition . In: J.J.H. Miller eds. 6th International Conference on Boundary and Interior Layers (BAIL VI) , 09-AUG-92 - 14-AUG-92 , pp.67-68 [Details] |