Computations on preconditioning cubic Spline collocation method of elliptic equations

Yong Hun Lee

doi:10.1007/bf02941966

Computations on preconditioning cubic Spline collocation method of elliptic equations

Yong Hun Lee^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

Abstract

In this work we investigate the finite element preconditioning method for the C1-cubic spline collocation discretizations for an elliptic operator A defined by Au := ?δu+a₁u x +a₂u y +a0u in the unit square with some boundary conditions. We compute the condition number and the numerical solution of the preconditioning system for the several example problems. Finally, we compare the this preconditioning system with the another preconditioning system.

Original language	English
Pages (from-to)	279-294
Number of pages	16
Journal	Journal of Applied Mathematics and Computing
Volume	8
Issue number	2
DOIs	https://doi.org/10.1007/bf02941966
State	Published - 2001.05

Keywords

Cubic spline collocation
Finite element method
Preconditioned matrix

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1007/bf02941966

Cite this

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title = "Computations on preconditioning cubic Spline collocation method of elliptic equations",

abstract = "In this work we investigate the finite element preconditioning method for the C1-cubic spline collocation discretizations for an elliptic operator A defined by Au := ?δu+a1u x +a2u y +a0u in the unit square with some boundary conditions. We compute the condition number and the numerical solution of the preconditioning system for the several example problems. Finally, we compare the this preconditioning system with the another preconditioning system.",

keywords = "Cubic spline collocation, Finite element method, Preconditioned matrix",

author = "Lee, \{Yong Hun\}",

year = "2001",

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doi = "10.1007/bf02941966",

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AU - Lee, Yong Hun

PY - 2001/5

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N2 - In this work we investigate the finite element preconditioning method for the C1-cubic spline collocation discretizations for an elliptic operator A defined by Au := ?δu+a1u x +a2u y +a0u in the unit square with some boundary conditions. We compute the condition number and the numerical solution of the preconditioning system for the several example problems. Finally, we compare the this preconditioning system with the another preconditioning system.

AB - In this work we investigate the finite element preconditioning method for the C1-cubic spline collocation discretizations for an elliptic operator A defined by Au := ?δu+a1u x +a2u y +a0u in the unit square with some boundary conditions. We compute the condition number and the numerical solution of the preconditioning system for the several example problems. Finally, we compare the this preconditioning system with the another preconditioning system.

KW - Cubic spline collocation

KW - Finite element method

KW - Preconditioned matrix

UR - https://www.scopus.com/pages/publications/84906246047

U2 - 10.1007/bf02941966

DO - 10.1007/bf02941966

M3 - Journal article

AN - SCOPUS:84906246047

SN - 1598-5865

VL - 8

SP - 279

EP - 294

JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 2

ER -

Computations on preconditioning cubic Spline collocation method of elliptic equations

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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