Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Hegarty, Alan F."'
Autor:
Hegarty, Alan F., O'Riordan, Eugene
A Petrov-Galerkin finite element method is constructed for a singularly perturbed elliptic problem in two space dimensions. The solution contains a regular boundary layer and two characteristic boundary layers. Exponential splines are used as test fu
Externí odkaz:
http://arxiv.org/abs/2311.00554
Autor:
Hegarty, Alan F., O'Riordan, Eugene
Fitted finite element methods are constructed for a singularly perturbed convection-diffusion problem in two space dimensions. Exponential splines as basis functions are combined with Shishkin meshes to obtain a stable parameter-uniform numerical met
Externí odkaz:
http://arxiv.org/abs/2310.01237
Autor:
Hegarty, Alan F., O'Riordan, Eugene
A finite difference method is constructed to solve singularly perturbed convection-diffusion problems posed on smooth domains. Constraints are imposed on the data so that only regular exponential boundary layers appear in the solution. A domain decom
Externí odkaz:
http://arxiv.org/abs/2112.11835
Autor:
Hegarty, Alan F., O'Riordan, Eugene
A numerical algorithm is presented to solve a benchmark problem proposed by Hemker. The algorithm incorporates asymptotic information into the design of appropriate piecewise-uniform Shishkin meshes. Moreover, different co-ordinate systems are utiliz
Externí odkaz:
http://arxiv.org/abs/2006.11096
Autor:
Hegarty, Alan F., O'Riordan, Eugene
A finite difference method is constructed for a singularly perturbed convection diffusion problem posed on an annulus. The method involves combining polar coordinates, an upwind finite difference operator and a piecewise-uniform Shishkin mesh in the
Externí odkaz:
http://arxiv.org/abs/1804.07160
Publikováno v:
International Journal of Numerical Methods for Heat & Fluid Flow, 1995, Vol. 5, Issue 2, pp. 131-140.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/EUM0000000004115
Publikováno v:
Communications in Numerical Methods in Engineering. May95, Vol. 11 Issue 5, p435-441. 7p.
Publikováno v:
Communications in Numerical Methods in Engineering. Apr94, Vol. 10 Issue 4, p297-302. 6p.
Autor:
Ansari, Ali R. ali.ansari@ul.ie, Hegarty, Alan F.1 alan.hegarty@ul.ie
Publikováno v:
Computer Methods in Applied Mechanics & Engineering. Aug2003, Vol. 192 Issue 33/34, p3673. 15p.
Publikováno v:
Computational Methods in Applied Mathematics; 2003, Vol. 3 Issue 3, p373-386, 14p