Backward Euler mixed FEM and regularity of parabolic integrao-differential equations with non-smooth data

Richard E. Ewing; Yanping Lin; Junping Wang; Xiaozhong Yang

Backward Euler mixed FEM and regularity of parabolic integrao-differential equations with non-smooth data

Richard E. Ewing, Yanping Lin, Junping Wang, Xiaozhong Yang

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

The nonFickian flow of fluid in porous media is complicated by the history effect which characterizes various mixing length growth of the flow, and can be modeled by an integro-differential equation. This paper studies a backward Euler scheme for the mixed finite element approximate solution of such problems with non-smooth initial data. A new regularity result is derived for the model problem, which can be used to design high order numerical schemes in time.

Original language	English
Pages (from-to)	283-295
Number of pages	13
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume	13
Issue number	2
Publication status	Published - 28 Dec 2006
Externally published	Yes

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

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title = "Backward Euler mixed FEM and regularity of parabolic integrao-differential equations with non-smooth data",

abstract = "The nonFickian flow of fluid in porous media is complicated by the history effect which characterizes various mixing length growth of the flow, and can be modeled by an integro-differential equation. This paper studies a backward Euler scheme for the mixed finite element approximate solution of such problems with non-smooth initial data. A new regularity result is derived for the model problem, which can be used to design high order numerical schemes in time.",

author = "Ewing, {Richard E.} and Yanping Lin and Junping Wang and Xiaozhong Yang",

year = "2006",

month = dec,

day = "28",

language = "English",

volume = "13",

pages = "283--295",

journal = "Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms",

issn = "1492-8760",

publisher = "Watam Press",

number = "2",

}

Backward Euler mixed FEM and regularity of parabolic integrao-differential equations with non-smooth data. / Ewing, Richard E.; Lin, Yanping; Wang, Junping et al.
In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, Vol. 13, No. 2, 28.12.2006, p. 283-295.

Research output: Journal article publication › Journal article › Academic research › peer-review

TY - JOUR

T1 - Backward Euler mixed FEM and regularity of parabolic integrao-differential equations with non-smooth data

AU - Ewing, Richard E.

AU - Lin, Yanping

AU - Wang, Junping

AU - Yang, Xiaozhong

PY - 2006/12/28

Y1 - 2006/12/28

N2 - The nonFickian flow of fluid in porous media is complicated by the history effect which characterizes various mixing length growth of the flow, and can be modeled by an integro-differential equation. This paper studies a backward Euler scheme for the mixed finite element approximate solution of such problems with non-smooth initial data. A new regularity result is derived for the model problem, which can be used to design high order numerical schemes in time.

AB - The nonFickian flow of fluid in porous media is complicated by the history effect which characterizes various mixing length growth of the flow, and can be modeled by an integro-differential equation. This paper studies a backward Euler scheme for the mixed finite element approximate solution of such problems with non-smooth initial data. A new regularity result is derived for the model problem, which can be used to design high order numerical schemes in time.

UR - http://www.scopus.com/inward/record.url?scp=33845684112&partnerID=8YFLogxK

M3 - Journal article

SN - 1492-8760

VL - 13

SP - 283

EP - 295

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

IS - 2

ER -

Backward Euler mixed FEM and regularity of parabolic integrao-differential equations with non-smooth data

Abstract

ASJC Scopus subject areas

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