Bubble stabilization of Chebyshev-Legendre high-order element methods for the advection-diffusion equation

Philsu Kim; Sang Dong Kim; Yong Hun Lee

doi:10.4134/BKMS.2016.53.2.423

Bubble stabilization of Chebyshev-Legendre high-order element methods for the advection-diffusion equation

Philsu Kim, Sang Dong Kim, Yong Hun Lee

Research output: Contribution to journal › Article › peer-review

Abstract

The bubble stabilization technique of Chebyshev-Legendre high-order element methods for one dimensional advection-diffusion equation is analyzed for the proposed scheme by Canuto and Puppo in [8]. We also analyze the finite element lower-order preconditioner for the proposed stabilized linear system. Further, the numerical results are provided to support the developed theories for the convergence and preconditioning.

Original language	English
Pages (from-to)	423-440
Number of pages	18
Journal	Bulletin of the Korean Mathematical Society
Volume	53
Issue number	2
DOIs	https://doi.org/10.4134/BKMS.2016.53.2.423
State	Published - 2016

Keywords

Advection-diffusion equation
Bubble-stabilization
Chebyshev-Galerkin spectral method
Lower-order preconditioner

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10.4134/BKMS.2016.53.2.423

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title = "Bubble stabilization of Chebyshev-Legendre high-order element methods for the advection-diffusion equation",

abstract = "The bubble stabilization technique of Chebyshev-Legendre high-order element methods for one dimensional advection-diffusion equation is analyzed for the proposed scheme by Canuto and Puppo in [8]. We also analyze the finite element lower-order preconditioner for the proposed stabilized linear system. Further, the numerical results are provided to support the developed theories for the convergence and preconditioning.",

keywords = "Advection-diffusion equation, Bubble-stabilization, Chebyshev-Galerkin spectral method, Lower-order preconditioner",

author = "Philsu Kim and Kim, {Sang Dong} and Lee, {Yong Hun}",

note = "Publisher Copyright: {\textcopyright} 2016 Korean Mathematical Society.",

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language = "English",

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AU - Kim, Philsu

AU - Kim, Sang Dong

AU - Lee, Yong Hun

PY - 2016

Y1 - 2016

N2 - The bubble stabilization technique of Chebyshev-Legendre high-order element methods for one dimensional advection-diffusion equation is analyzed for the proposed scheme by Canuto and Puppo in [8]. We also analyze the finite element lower-order preconditioner for the proposed stabilized linear system. Further, the numerical results are provided to support the developed theories for the convergence and preconditioning.

AB - The bubble stabilization technique of Chebyshev-Legendre high-order element methods for one dimensional advection-diffusion equation is analyzed for the proposed scheme by Canuto and Puppo in [8]. We also analyze the finite element lower-order preconditioner for the proposed stabilized linear system. Further, the numerical results are provided to support the developed theories for the convergence and preconditioning.

KW - Advection-diffusion equation

KW - Bubble-stabilization

KW - Chebyshev-Galerkin spectral method

KW - Lower-order preconditioner

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U2 - 10.4134/BKMS.2016.53.2.423

DO - 10.4134/BKMS.2016.53.2.423

M3 - Article

AN - SCOPUS:84962019297

SN - 1015-8634

VL - 53

SP - 423

EP - 440

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 2

ER -

Bubble stabilization of Chebyshev-Legendre high-order element methods for the advection-diffusion equation

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