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      KCI우수등재

      A LOCAL CONSERVATIVE MULTISCALE METHOD FOR ELLIPTIC PROBLEMS WITH OSCILLATING COEFFICIENTS

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      https://www.riss.kr/link?id=A106931648

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      다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

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      한국어
      A new multiscale finite element method for elliptic problems with highly oscillating coefficients are introduced. A hybridization yields a locally flux-conserving numerical scheme for multiscale problems. Our approach naturally induces a homogenized equation which facilitates error analysis. Complete convergence analysis is given and numerical examples are presented to validate our analysis.
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      A new multiscale finite element method for elliptic problems with highly oscillating coefficients are introduced. A hybridization yields a locally flux-conserving numerical scheme for multiscale problems. Our approach naturally induces a homogenized e...

      A new multiscale finite element method for elliptic problems with highly oscillating coefficients are introduced. A hybridization yields a locally flux-conserving numerical scheme for multiscale problems. Our approach naturally induces a homogenized equation which facilitates error analysis. Complete convergence analysis is given and numerical examples are presented to validate our analysis.

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      참고문헌 (Reference)

      1 T. J. R. Hughes, "The variational multiscale method. A paradigm for computational mechanics" 166 : 3-24, 1998

      2 W. E, B. Engquist, "The heterogeneous multi-scale methods" 1 (1): 87-132, 2003

      3 T. Y. Hou, "Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation" 2 (2): 185-205, 2004

      4 F. Brezzi, "Numerical Analysis vol. 420" Chapman & Hall/CRC 69-82, 2000

      5 Y. Jeon, "Nonconforming cell boundary element methods for elliptic problems on triangular mesh" 58 (58): 800-814, 2008

      6 Y. Jeon, "New locally conservative finite element methods on a rectangular mesh" 123 (123): 97-119, 2013

      7 Y. Efendiev, "Multiscale Finite Element Methods, Theory and Applications, Surveys and Tutorials in the Applied Mathematical Sciences, vol.4" Springer 2009

      8 P. Jenny, "Multi-scale finite-volume method for elliptic problems in subsurface flow simulation" 187 : 47-67, 2003

      9 C. Schwab, "Lect. Notes Comput. Sci. Eng., vol. 20" Springer-Verlag 197-237, 2002

      10 Y. Jeon, "Hybrid Spectral Difference Methods for an Elliptic Equation" 17 (17): 253-267, 2017

      1 T. J. R. Hughes, "The variational multiscale method. A paradigm for computational mechanics" 166 : 3-24, 1998

      2 W. E, B. Engquist, "The heterogeneous multi-scale methods" 1 (1): 87-132, 2003

      3 T. Y. Hou, "Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation" 2 (2): 185-205, 2004

      4 F. Brezzi, "Numerical Analysis vol. 420" Chapman & Hall/CRC 69-82, 2000

      5 Y. Jeon, "Nonconforming cell boundary element methods for elliptic problems on triangular mesh" 58 (58): 800-814, 2008

      6 Y. Jeon, "New locally conservative finite element methods on a rectangular mesh" 123 (123): 97-119, 2013

      7 Y. Efendiev, "Multiscale Finite Element Methods, Theory and Applications, Surveys and Tutorials in the Applied Mathematical Sciences, vol.4" Springer 2009

      8 P. Jenny, "Multi-scale finite-volume method for elliptic problems in subsurface flow simulation" 187 : 47-67, 2003

      9 C. Schwab, "Lect. Notes Comput. Sci. Eng., vol. 20" Springer-Verlag 197-237, 2002

      10 Y. Jeon, "Hybrid Spectral Difference Methods for an Elliptic Equation" 17 (17): 253-267, 2017

      11 T. Arbogast, "Homogenization-based mixed multiscale finite elements for problems with anisotropy" 9 (9): 624-653, 2011

      12 V. V. Jikov, "Homogenization of Differential Operators and Integral Functionals" Springer-Verlag 1994

      13 A. Abdulle, "Finite difference HMM for homogenization problems" 191 : 18-39, 2003

      14 M.-Y. KIM, "Coupling discontinuous Galerkin discretizations using mortar finite elements for advection–diffusion–reaction problems" 67 : 181-198, 2014

      15 R. Du, "Convergence of the heterogeneous multiscale finite element method for ellitpic problems with nonsmoothe microstructures" 8 (8): 1770-1783, 2010

      16 G. Sangalli, "Capturing small scales in elliptic problems using a residual-free bubbles finite element method" 1 : 485-503, 2003

      17 A. Bensoussan, "Asymptotic Analysis for periodic Structures" North-Holland 1978

      18 M. Arshad, "Analysis of Multiscale Mortar Mixed Approximation of Nonlinear Elliptic Equations" 75 (75): 401-418, 2018

      19 M. G. Larson, "Adaptive variational multiscale methods based on a posteriori error estimation: Energy norm estimates for elliptic problems" 196 (196): 2313-2324, 2007

      20 J. T. Oden, "Adaptive hierarchical modeling of heterogeneous structures" 133 : 404-415, 1999

      21 L. Zhao, "A new hybrid staggered discontinuous Galerkin method on general meshes" 82 : 12-, 2020

      22 김미영, "A multiscale mortar mixed finite element method for slightly compressible flows in porous media" 대한수학회 44 (44): 1103-1119, 2007

      23 T. Arbogast, "A multiscale mortar mixed finite element method" 6 (6): 319-346, 2007

      24 G. Allaire, "A multiscale finite element method for numerical homogenization" 4 (4): 790-812, 2005

      25 T. Y. Hou, "A multiscale finite element method for elliptic problems in composite materials and porous media" 134 : 169-189, 1997

      26 M.-Y. KIM, "A multiscale discontinuous galerkin method for convection–diffusion–reaction problems" 68 : 2251-2261, 2014

      27 Y. Jeon, "A multiscale cell boundary element method for elliptic problems" 59 (59): 2801-2813, 2009

      28 Z. Chen, "A mixed multiscale finite element method for elliptic problems with oscillating coefficients" 72 : 541-576, 2003

      29 Y. Jeon, "A hybridized finite element method for the Stokes problem" 68 (68): 2222-2232, 2014

      30 Y. Jeon, "A hybrid discontinuous Galerkin method for elliptic problems" 48 (48): 1968-1983, 2010

      31 D.-w. Shin, "A hybrid discontinuous Galerkin method for advection-diffusion-reaction problems" 95 : 292-303, 2015

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      학술지 이력

      학술지 이력
      연월일 이력구분 이력상세 등재구분
      2022 평가예정 계속평가 신청대상 (등재유지)
      2017-01-01 평가 우수등재학술지 선정 (계속평가)
      2013-01-01 평가 등재 1차 FAIL (등재유지) KCI등재
      2010-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2007-01-01 평가 등재학술지 선정 (등재후보2차) KCI등재
      2006-01-01 평가 등재후보 1차 PASS (등재후보1차) KCI등재후보
      2005-10-14 학술지명변경 한글명 : 한국산업응용수학회지 -> Journal of the Korean Society for Industrial and Applied Mathematics KCI등재후보
      2005-05-24 학회명변경 영문명 : 미등록 -> The Korean Society for Industrial and Applied Mathematics KCI등재후보
      2005-03-08 학회명변경 한글명 : 한국산업정보응용수학회 -> 한국산업응용수학회
      영문명 : Korea Society For Industrial And Applied Mathematics -> Korea Society For Industrial And Applied Mathematics      		 KCI등재후보
      2004-01-01 평가 등재후보학술지 선정 (신규평가) KCI등재후보
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      학술지 인용정보

      학술지 인용정보
      기준연도 WOS-KCI 통합IF(2년) KCIF(2년) KCIF(3년)
      2016 0.24 0.24 0.18
      KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
      0.15 0.14 0.41 0
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