A SUPG Formulation for Solving a Class of Singularly Perturbed Steady Problems in 2D

Date

2020-09-02

Author

Cengizci, Süleyman
Uğur, Ömür
Srinivasan, Natesan

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In this presentation, approximate solutions of singularly perturbed partial differential equations are examined. It is a well-known fact that the standard Galerkin finite element method (GFEM) experiences some instability problems in obtaining accurate approximations to the solution of convection-dominated equations. Therefore, in this work, the Streamline-Upwind/Petrov-Galerkin (SUPG) method is employed to overcome the instability issues for the numerical solution of these kinds of problems. Furthermore, the stabilized scheme is supported by a shock-capturing technique. Two numerical experiments are provided to compare the results obtained by the GFEM and SUPG methods.

URI

https://hdl.handle.net/11511/93745

Conference Name

The 20th Biennial Computational Techniques and Applications

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Graduate School of Applied Mathematics, Conference / Seminar

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Citation Formats

S. Cengizci, Ö. Uğur, and N. Srinivasan, “A SUPG Formulation for Solving a Class of Singularly Perturbed Steady Problems in 2D,” presented at the The 20th Biennial Computational Techniques and Applications, Sydney, Avustralya, 2020, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/93745.