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

S. Mohapatra; P. Dutt; B. V. Rathish Kumar; Marc I. Gerritsma

doi:10.1016/j.cam.2019.112696

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

S. Mohapatra^*, P. Dutt, B. V. Rathish Kumar, Marc I. Gerritsma

^*Corresponding author for this work

Aerodynamics

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4 Citations (Scopus)

Abstract

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.

Original language	English
Article number	112696
Number of pages	20
Journal	Journal of Computational and Applied Mathematics
Volume	372
DOIs	https://doi.org/10.1016/j.cam.2019.112696
Publication status	Published - 1 Jul 2020

Keywords

Corner singularities
Geometrical meshes
Least-squares methods
Preconditioner
Stokes equations

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10.1016/j.cam.2019.112696

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title = "Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains",

abstract = "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.",

keywords = "Corner singularities, Geometrical meshes, Least-squares methods, Preconditioner, Stokes equations",

author = "S. Mohapatra and P. Dutt and {Rathish Kumar}, {B. V.} and Gerritsma, {Marc I.}",

year = "2020",

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doi = "10.1016/j.cam.2019.112696",

language = "English",

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T1 - Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains

AU - Mohapatra, S.

AU - Dutt, P.

AU - Rathish Kumar, B. V.

AU - Gerritsma, Marc I.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - 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.

AB - 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.

KW - Corner singularities

KW - Geometrical meshes

KW - Least-squares methods

KW - Preconditioner

KW - Stokes equations

UR - http://www.scopus.com/inward/record.url?scp=85078520575&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2019.112696

DO - 10.1016/j.cam.2019.112696

M3 - Article

AN - SCOPUS:85078520575

SN - 0377-0427

VL - 372

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

M1 - 112696

ER -

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

Abstract

Keywords

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