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Dr. Alan Hegarty

Biography

B.A. (Mathematics) Dublin University 1979 M.Sc., Dublin, 1982 Ph.D. Dublin, 1986

Research Interests

Numerical solution of singular perturbation problems. Special mesh methods. Adaptive and moving mesh methods.

Publications

Book

2000

Robust Computational Techniques for Boundary Layers
Farrell, PA; Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI

Book Chapter

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
Applications of Advanced Computational Methods for Boundary and Interior Layers

Conference Publication

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.
British Journal of Surgery

2009

AIP Conference Proceedings
Gonzalez M.T., Hegarty A.F., Thomas S.R.
DOI: 10.1063/1.3241372

2009

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2
Gonzalez, MT; Hegarty, AF; Thomas, SR

2006

BAIL 2006
Hegarty,A.F., Sikwila, S., Shiskin, G.I.

2006

BAIL 2006
Branley, D., Hegarty, A.F., Purtill, H., Shishkin, G.I.

2005

Biennial Numerical Analysis Conference
Sikwila, S., Hegarty, A.F. and Shishkin, G.I.

2005
2004
2004

BAIL 2004
Sikwila, S., Hegarty, A.F. and Shishkin, G.I.

2004

BAIL 2004
Ansari, A.R., Hegarty, A.F. and Shishkin, G.I.

2004
2002

BAIL 2002
Farrell, P.A., Hegarty, A.F., Miller, J.J.H., O'Riordan, E. and Shishkin. G.I.

2002

BAIL 2002
Ansari, A.R. and Hegarty, A.F.

2001

Eccomas Computational Fluid Dynamics Conference
Ansari A.R., Hegarty A.F. and Shishkin G.I.

2001

Eccomas Computational Fluid Dynamics Conference
Farrell P.A., Hegarty A.F., Miller J.J.H., O'Riordan E. and Shishkin G.I.

1999

International Seminar on Applied Mathematics '91
O'Riordan E., Hegarty A.F. and Stynes M.

1992

BAIL VI
HEGARTY, AF; MILLER, JJH; ORIORDAN, E; SHISHKIN, GI

1991

13th IMACS World Congress
Hegarty A.F., Miller J.J.H., O'Riordan E. and Shishkin G.I.

1991

13th IMACS World Congress
Farrell P.A. and Hegarty A.F.

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.

Peer Reviewed Journal

2004

Singularly perturbed convection-diffusion problems with boundary and weak interior layers
Farrell, PA; Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI
Journal Of Computational And Applied Mathematics DOI: 10.1016/j.cam.2003.09.033

2003

A note on fitted operator methods for a laminar jet problem
Ansari, AR; Hegarty, AF; Shishkin, GI
Applied Numerical Mathematics DOI: 10.1016/S0168-9274(02)00225-8

2003

Parameter-uniform numerical methods for a laminar jet problem
Ansari, AR; Hegarty, AF; Shishkin, GI
International Journal For Numerical Methods In Fluids DOI: 10.1002/fld.511

2003

Numerical solution of a rimming flow problem using a moving mesh method.
Hegarty, AF;O'Brien, SB; Sikwila, S
Computational Methods In Applied Mathematics

2003

Numerical techniques for flow problems with singularities
Farrell, PA; Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI
International Journal For Numerical Methods In Fluids DOI: 10.1002/fld.536

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
International Journal For Numerical Methods In Fluids DOI: 10.1002/fld.573

2003

Numerical solution of a convection diffusion problem with Robin boundary conditions
Ansari, AR; Hegarty, AF
Journal Of Computational And Applied Mathematics DOI: 10.1016/S0377-0427(02)00913-5

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
Lecture Notes In Computer Science

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
Numerical Analysis And Its Applications

2001

A parameter robust method for a problem with a symmetry boundary layer
Ansari, AR; Hegarty, AF; Shishkin, GI
Numerical Analysis And Its Applications

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
Numerical Analysis And Its Applications

1997

Numerical results for advection-convection problems on fitted meshes
Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI
Cwi Quarterly

1995

SPECIAL MESHES FOR FINITE-DIFFERENCE APPROXIMATIONS TO AN ADVECTION-DIFFUSION EQUATION WITH PARABOLIC LAYERS
HEGARTY, AF; MILLER, JJH; ORIORDAN, E; SHISHKIN, GI
Journal Of Computational Physics DOI: 10.1006/jcph.1995.1043

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
International Journal Of Numerical Methods For Heat & Fluid Flow DOI: 10.1108/EUM0000000004115

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
Communications In Numerical Methods In Engineering DOI: 10.1002/cnm.1640110508

1994

USE OF CENTRAL-DIFFERENCE OPERATORS FOR SOLUTION OF SINGULARLY PERTURBED PROBLEMS
HEGARTY, AF; MILLER, JJH; ORIORDAN, E; SHISHKIN, GI
Communications In Numerical Methods In Engineering DOI: 10.1002/cnm.1640100404

1994

Special numerical methods for convection-dominated laminar flows at arbitrary Reynolds number.
Hegarty, AF; Miller, JJH; O'Riordan, E; Shishkin, GI
J. Numerical Mathematics