A spectral method for Stokes equations

Hi Jun Choe; Jeong Ho Chu

doi:10.1016/S0096-3003(98)10062-0

A spectral method for Stokes equations

Hi Jun Choe, Jeong Ho Chu

Department of Mathematics

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

1 Citation (Scopus)

Abstract

We find a spectral method for the solutions to Stokes equations in the spherical domain. We represent the solutions in terms of spherical harmonics and find an algorithm deciding each coefficient of the given degree. Concrete power series expansions using the associated three-dimensional Legendre functions and two-dimensional complex variable functions are derived. Moreover the pressure can be decided from structure theorems for homogeneous solutions.

Original language	English
Pages (from-to)	131-151
Number of pages	21
Journal	Applied Mathematics and Computation
Volume	104
Issue number	2-3
DOIs	https://doi.org/10.1016/S0096-3003(98)10062-0
Publication status	Published - 1999 Sept

Bibliographical note

Funding Information:
The first author was supported by KOSEF, GARC and BSRI prg. of Korea Ministry of Educations.

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/S0096-3003(98)10062-0

Cite this

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title = "A spectral method for Stokes equations",

abstract = "We find a spectral method for the solutions to Stokes equations in the spherical domain. We represent the solutions in terms of spherical harmonics and find an algorithm deciding each coefficient of the given degree. Concrete power series expansions using the associated three-dimensional Legendre functions and two-dimensional complex variable functions are derived. Moreover the pressure can be decided from structure theorems for homogeneous solutions.",

author = "Choe, {Hi Jun} and Chu, {Jeong Ho}",

note = "Funding Information: The first author was supported by KOSEF, GARC and BSRI prg. of Korea Ministry of Educations. ",

year = "1999",

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journal = "Applied Mathematics and Computation",

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T1 - A spectral method for Stokes equations

AU - Choe, Hi Jun

AU - Chu, Jeong Ho

N1 - Funding Information: The first author was supported by KOSEF, GARC and BSRI prg. of Korea Ministry of Educations.

PY - 1999/9

Y1 - 1999/9

N2 - We find a spectral method for the solutions to Stokes equations in the spherical domain. We represent the solutions in terms of spherical harmonics and find an algorithm deciding each coefficient of the given degree. Concrete power series expansions using the associated three-dimensional Legendre functions and two-dimensional complex variable functions are derived. Moreover the pressure can be decided from structure theorems for homogeneous solutions.

AB - We find a spectral method for the solutions to Stokes equations in the spherical domain. We represent the solutions in terms of spherical harmonics and find an algorithm deciding each coefficient of the given degree. Concrete power series expansions using the associated three-dimensional Legendre functions and two-dimensional complex variable functions are derived. Moreover the pressure can be decided from structure theorems for homogeneous solutions.

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U2 - 10.1016/S0096-3003(98)10062-0

DO - 10.1016/S0096-3003(98)10062-0

M3 - Article

AN - SCOPUS:0347596682

SN - 0096-3003

VL - 104

SP - 131

EP - 151

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2-3

ER -

A spectral method for Stokes equations

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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