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    A CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS

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    https://www.riss.kr/link?id=A103588245

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    A Crank-Nicolson characteristic finite element method is in troduced to construct approximate solutions of a Sobolev equation with a convection term. The higher order of convergences in the temporal direction and in the spatial direction in L2 normed space are verified for the Crank-Nicolson characteristic finite element method.
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    A Crank-Nicolson characteristic finite element method is in troduced to construct approximate solutions of a Sobolev equation with a convection term. The higher order of convergences in the temporal direction and in the spatial direction in L2 normed ...

    A Crank-Nicolson characteristic finite element method is in troduced to construct approximate solutions of a Sobolev equation with a convection term. The higher order of convergences in the temporal direction and in the spatial direction in L2 normed space are verified for the Crank-Nicolson characteristic finite element method.

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    참고문헌 (Reference)

    1 R. E. Ewing, "Time-stepping Galerkin methods for nonlinear Sobolev partial differential equations" 15 : 1125-1150, 1978

    2 D. N. Arnold, "Superconvergence of a finite approximation to the solution of a Sobolev equation in a single space variable" 36 : 53-63, 1981

    3 D. P. Yang, "Some least-squares Galerkin procedures for first-order time-dependent convection-diffusion system" 108 : 81-95, 1999

    4 R. W. Carroll, "Singular and degenerate Cauchy problems" Academic Press 1976

    5 D. M. Shi, "On the initial boundary value problem of nonlinear the equation of the migration of the moisture in soil" 13 : 31-38, 1990

    6 J. Douglas, "Numerical methods for convection-dominated diffusion problems based on combining the method of characteristic with finite element or finite difference procedures" 19 : 871-885, 1982

    7 A. Pehlivanov, "Least-squares mixed finite elements for second-order elliptic problems" 31 : 1368-1377, 1994

    8 H. Guo, "Least-squares Galerkin mixed finite element method for the Sobolev equation" 29 : 609-618, 2006

    9 엄미례, "L^2-error analysis of fully discrete discontinuous Galerkin approximations for nonlinear Sobolev equations" 대한수학회 48 (48): 897-915, 2011

    10 M. R. Ohm, "L2-error analysis of discontinuous Galerkin approx-imations for nonlinear Sobolev equations" 30 (30): 91-110, 2013

    1 R. E. Ewing, "Time-stepping Galerkin methods for nonlinear Sobolev partial differential equations" 15 : 1125-1150, 1978

    2 D. N. Arnold, "Superconvergence of a finite approximation to the solution of a Sobolev equation in a single space variable" 36 : 53-63, 1981

    3 D. P. Yang, "Some least-squares Galerkin procedures for first-order time-dependent convection-diffusion system" 108 : 81-95, 1999

    4 R. W. Carroll, "Singular and degenerate Cauchy problems" Academic Press 1976

    5 D. M. Shi, "On the initial boundary value problem of nonlinear the equation of the migration of the moisture in soil" 13 : 31-38, 1990

    6 J. Douglas, "Numerical methods for convection-dominated diffusion problems based on combining the method of characteristic with finite element or finite difference procedures" 19 : 871-885, 1982

    7 A. Pehlivanov, "Least-squares mixed finite elements for second-order elliptic problems" 31 : 1368-1377, 1994

    8 H. Guo, "Least-squares Galerkin mixed finite element method for the Sobolev equation" 29 : 609-618, 2006

    9 엄미례, "L^2-error analysis of fully discrete discontinuous Galerkin approximations for nonlinear Sobolev equations" 대한수학회 48 (48): 897-915, 2011

    10 M. R. Ohm, "L2-error analysis of discontinuous Galerkin approx-imations for nonlinear Sobolev equations" 30 (30): 91-110, 2013

    11 L. Guo, "H1-Galerkin mixed finite element method for the Sobolev equation" 26 : 301-314, 2006

    12 Y. Lin, "Galerkin methods for nonlinear Sobolev equations" 40 : 54-66, 1990

    13 Y. Lin, "Finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions" 165 : 180-191, 1992

    14 M. T. Nakao, "Error estimates of a Galerkin method for some nonlinear Sobolev equations in one space dimension" 47 : 139-157, 1985

    15 T. Sun, "Error estimates for a discontinuous Galerkin method with interior penalties applied to nonlinear Sobolev equations" 24 (24): 879-896, 2008

    16 H. Gu, "Characteristic finite element methods for nonlinear Sobolev equations" 102 : 51-62, 1999

    17 G. I. Barenblatt, "Basic conception in the theory of seepage of homogenous liquids in fissured rocks" 24 : 1286-1309, 1960

    18 D. P. Yang, "Analysis of least-squares mixed finite element methods for nonlinear non-stationary convection-diffusion problems" 69 : 929-929, 2000

    19 H. X. Rui, "A remark on least-squares mixed element methods for reaction-diffusion problems" 202 : 203-236, 2007

    20 P. L. Davis, "A quasilinear parabolic and related third order problem" 49 : 327-335, 1970

    21 T. Sun, "A priori error estimates for interior penalty discontinuous Galerkin method applied to nonlinear Sobolev equations" 200 : 147-159, 2008

    22 T. W. Ting, "A cooling process according to two-temperature theory of heat conduction" 45 : 23-31, 1974

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    2021-01-01 등재 등재학술지 유지 (재인증) KCI등재
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    2010-01-01 등재 등재후보 1차 PASS (등재후보1차) KCI등재후보
    2009-04-24 학회명변경 한글명 : 부산경남수학회 -> 영남수학회
    영문명 : The Busan Gyeongnam Mathematical Society -> Youngnam Mathematical Society
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    2008-01-01 등재 등재후보학술지 선정 (신규평가) KCI등재후보
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