A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes

A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes

A numerical algorithm is presented to solve a benchmark problem proposed by Hemker (1996). The algorithm incorporates asymptotic information into the design of appropriate piecewise-uniform Shishkin meshes. Moreover, different co-ordinate systems are utilized due to the different geometries and asso...

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Veröffentlicht in:Journal of computational and applied mathematics 2022-08, Vol.409, p.114155, Article 114155
Hauptverfasser: Hegarty, A.F., O’Riordan, E.
Format: Artikel
Sprache:eng
Schlagworte:
Hemker problem
Shishkin mesh
Singularly perturbed
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Zusammenfassung:A numerical algorithm is presented to solve a benchmark problem proposed by Hemker (1996). The algorithm incorporates asymptotic information into the design of appropriate piecewise-uniform Shishkin meshes. Moreover, different co-ordinate systems are utilized due to the different geometries and associated layer structures that are involved in this problem. Numerical results are presented to demonstrate the effectiveness of the proposed numerical algorithm.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2022.114155