Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains

Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains

In this paper we present a discontinuous least-squares spectral element method for Stokes equations with primitive variable formulation on both smooth and non-smooth domains. We propose an exponentially accurate numerical scheme based on the stability estimates and implement it on different polygona...

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Veröffentlicht in:Journal of computational and applied mathematics 2020-07, Vol.372, p.112696, Article 112696
Hauptverfasser: Mohapatra, S., Dutt, P., Rathish Kumar, B.V., Gerritsma, Marc I.
Format: Artikel
Sprache:eng
Schlagworte:
Corner singularities
Geometrical meshes
Least-squares methods
Preconditioner
Stokes equations
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Zusammenfassung:In this paper we present a discontinuous least-squares spectral element method for Stokes equations with primitive variable formulation on both smooth and non-smooth domains. We propose an exponentially accurate numerical scheme based on the stability estimates and implement it on different polygonal domains. Preconditioned conjugate gradient method is used to obtain the numerical solution.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2019.112696