Mixed finite element domain decomposition for nonlinear parabolic problems

M. Y. Kim; E. J. Park; J. Park

doi:10.1016/S0898-1221(00)85016-6

Mixed finite element domain decomposition for nonlinear parabolic problems

M. Y. Kim, E. J. Park, J. Park

Department of Computational Science and Engineering

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

10 Citations (Scopus)

Abstract

Fully discrete mixed finite element method is considered to approximate the solution of a nonlinear second-order parabolic problem. A massively parallel iterative procedure based on domain decomposition technique is presented to solve resulting nonlinear algebraic equations. Robin type boundary conditions are used to transmit information between subdomains. The convergence of the iteration for each time step is demonstrated. Optimal-order error estimates are also derived. Numerical examples are given.

Original language	English
Pages (from-to)	1061-1070
Number of pages	10
Journal	Computers and Mathematics with Applications
Volume	40
Issue number	8
DOIs	https://doi.org/10.1016/S0898-1221(00)85016-6
Publication status	Published - 2000

Bibliographical note

Funding Information:
*This author wishes to acknowledge the financial support of the Korea Research Foundation in the program year of 1998. tThis author wishes to acknowledge the financial support of the Korea Research Foundation in the program year of 1998, KOSEF # 970701-01013, and KOSEF-COM2MAC. SThis author wishes to acknowledge the financial support of the Korea Research Foundation in the program year of 1998.

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/S0898-1221(00)85016-6

Cite this

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title = "Mixed finite element domain decomposition for nonlinear parabolic problems",

abstract = "Fully discrete mixed finite element method is considered to approximate the solution of a nonlinear second-order parabolic problem. A massively parallel iterative procedure based on domain decomposition technique is presented to solve resulting nonlinear algebraic equations. Robin type boundary conditions are used to transmit information between subdomains. The convergence of the iteration for each time step is demonstrated. Optimal-order error estimates are also derived. Numerical examples are given.",

author = "Kim, {M. Y.} and Park, {E. J.} and J. Park",

note = "Funding Information: *This author wishes to acknowledge the financial support of the Korea Research Foundation in the program year of 1998. tThis author wishes to acknowledge the financial support of the Korea Research Foundation in the program year of 1998, KOSEF # 970701-01013, and KOSEF-COM2MAC. SThis author wishes to acknowledge the financial support of the Korea Research Foundation in the program year of 1998.",

year = "2000",

doi = "10.1016/S0898-1221(00)85016-6",

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volume = "40",

pages = "1061--1070",

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T1 - Mixed finite element domain decomposition for nonlinear parabolic problems

AU - Kim, M. Y.

AU - Park, E. J.

AU - Park, J.

N1 - Funding Information: *This author wishes to acknowledge the financial support of the Korea Research Foundation in the program year of 1998. tThis author wishes to acknowledge the financial support of the Korea Research Foundation in the program year of 1998, KOSEF # 970701-01013, and KOSEF-COM2MAC. SThis author wishes to acknowledge the financial support of the Korea Research Foundation in the program year of 1998.

PY - 2000

Y1 - 2000

N2 - Fully discrete mixed finite element method is considered to approximate the solution of a nonlinear second-order parabolic problem. A massively parallel iterative procedure based on domain decomposition technique is presented to solve resulting nonlinear algebraic equations. Robin type boundary conditions are used to transmit information between subdomains. The convergence of the iteration for each time step is demonstrated. Optimal-order error estimates are also derived. Numerical examples are given.

AB - Fully discrete mixed finite element method is considered to approximate the solution of a nonlinear second-order parabolic problem. A massively parallel iterative procedure based on domain decomposition technique is presented to solve resulting nonlinear algebraic equations. Robin type boundary conditions are used to transmit information between subdomains. The convergence of the iteration for each time step is demonstrated. Optimal-order error estimates are also derived. Numerical examples are given.

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U2 - 10.1016/S0898-1221(00)85016-6

DO - 10.1016/S0898-1221(00)85016-6

M3 - Article

AN - SCOPUS:0342955010

SN - 0898-1221

VL - 40

SP - 1061

EP - 1070

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 8

ER -

Mixed finite element domain decomposition for nonlinear parabolic problems

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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