Hybrid Spectral Difference Methods for an Elliptic Equation

Youngmok Jeon, Eun-Jae Park, Dong Wook Shin

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A locally conservative, hybrid spectral difference method (HSD) is presented and analyzed for the Poisson equation. The HSD is composed of two types of finite difference approximations; the cell finite difference and the interface finite difference. Embedded static condensation on cell interior unknowns considerably reduces the global couplings, resulting in the system of equations in the cell interface unknowns only. A complete ellipticity analysis is provided. The optimal order of convergence in the semi-discrete energy norms is proved. Several numerical results are given to show the performance of the method, which confirm our theoretical findings.

Original languageEnglish
Pages (from-to)253-267
Number of pages15
JournalComputational Methods in Applied Mathematics
Volume17
Issue number2
DOIs
Publication statusPublished - 2017 Apr 1

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Poisson equation
Spectral Methods
Elliptic Equations
Difference Method
Condensation
Finite Difference
Cell
Unknown
Finite Difference Approximation
Ellipticity
Order of Convergence
Poisson's equation
System of equations
Interior
Norm
Numerical Results
Energy

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

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Hybrid Spectral Difference Methods for an Elliptic Equation. / Jeon, Youngmok; Park, Eun-Jae; Shin, Dong Wook.

In: Computational Methods in Applied Mathematics, Vol. 17, No. 2, 01.04.2017, p. 253-267.

Research output: Contribution to journalArticle

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