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dc.contributor.author盧韻尹en_US
dc.contributor.authorLu, Yun-Yinen_US
dc.contributor.author薛名成en_US
dc.contributor.authorShiue, Ming-Chengen_US
dc.date.accessioned2014-12-12T02:43:03Z-
dc.date.available2014-12-12T02:43:03Z-
dc.date.issued2013en_US
dc.identifier.urihttp://140.113.39.130/cdrfb3/record/nctu/#GT070052308en_US
dc.identifier.urihttp://hdl.handle.net/11536/75322-
dc.description.abstractIn this thesis, the corner singularities from space-time domains for parabolic equations are considered. Our work is to give an improved penalty method, with an initial condition approximated by a Helmholtz equation with a boundary layer, and a boundary condition approached by a second order ordinary differential equation. Basically, we extend the work in \cite{CQT11_1} and \cite{CQT11_2} and intend to numerically fix the incompatibility problems with the presence of both zeroth and first order incompatibilities. Through two examples on two dimensional domains (rectangle and disk), we demonstrate this method's practicality and usage. In short, from the point of view of comparative errors in $L^{\infty}$, $L^2$ and $H^1$ norm, this improved penalty method has better performance.zh_TW
dc.description.abstractIn this thesis, the corner singularities from space-time domains for parabolic equations are considered. Our work is to give an improved penalty method, with an initial condition approximated by a Helmholtz equation with a boundary layer, and a boundary condition approached by a second order ordinary differential equation. Basically, we extend the work in \cite{CQT11_1} and \cite{CQT11_2} and intend to numerically fix the incompatibility problems with the presence of both zeroth and first order incompatibilities. Through two examples on two dimensional domains (rectangle and disk), we demonstrate this method's practicality and usage. In short, from the point of view of comparative errors in $L^{\infty}$, $L^2$ and $H^1$ norm, this improved penalty method has better performance.en_US
dc.language.isoen_USen_US
dc.subject拋物方程式zh_TW
dc.subject初始值與邊界值不相容zh_TW
dc.subject數值解法zh_TW
dc.subjectincompatible dataen_US
dc.subjectparabolic equationsen_US
dc.title拋物方程式之初始值與邊界值不相容的數值解法zh_TW
dc.titleNumerical study of the incompatible data between initial and boundary conditions for parabolic equationsen_US
dc.typeThesisen_US
dc.contributor.department應用數學系數學建模與科學計算碩士班zh_TW
Appears in Collections:Thesis