Dirichlet degrees of freedom need not be eliminated

J.M.L. Maubach

doi:10.1016/j.apnum.2007.11.007

Dirichlet degrees of freedom need not be eliminated

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

Abstract

Dirichlet degrees of freedom are often eliminated from discretized initial value boundary value equations. This has advantages (creation of a symmetric system of equations and simplification of the equations) and a potential disadvantage (modification of the equations could lead to a more complex and less convenient implementation). This paper demonstrates that no elimination is needed to keep all elimination-related advantages – if one uses standard iterative solution techniques in a proper manner.

Original language	English
Pages (from-to)	1852-1860
Journal	Applied Numerical Mathematics
Volume	58
Issue number	12
DOIs	https://doi.org/10.1016/j.apnum.2007.11.007
Publication status	Published - 2008

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title = "Dirichlet degrees of freedom need not be eliminated",

abstract = "Dirichlet degrees of freedom are often eliminated from discretized initial value boundary value equations. This has advantages (creation of a symmetric system of equations and simplification of the equations) and a potential disadvantage (modification of the equations could lead to a more complex and less convenient implementation). This paper demonstrates that no elimination is needed to keep all elimination-related advantages – if one uses standard iterative solution techniques in a proper manner.",

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AB - Dirichlet degrees of freedom are often eliminated from discretized initial value boundary value equations. This has advantages (creation of a symmetric system of equations and simplification of the equations) and a potential disadvantage (modification of the equations could lead to a more complex and less convenient implementation). This paper demonstrates that no elimination is needed to keep all elimination-related advantages – if one uses standard iterative solution techniques in a proper manner.

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