Based on an expanded mixed finite element method, we con- sider the semidiscrete approximations of the solution u of the quasilinear pseudo-parabolic equation defined on Ω ⊂ R d , 1 ≤ d ≤ 3. We construct the semidiscrete approximations of ∇u...
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https://www.riss.kr/link?id=A103363752
2014
English
KCI등재,SCIE,SCOPUS
학술저널
67-86(20쪽)
0
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
Based on an expanded mixed finite element method, we con- sider the semidiscrete approximations of the solution u of the quasilinear pseudo-parabolic equation defined on Ω ⊂ R d , 1 ≤ d ≤ 3. We construct the semidiscrete approximations of ∇u...
Based on an expanded mixed finite element method, we con- sider the semidiscrete approximations of the solution u of the quasilinear pseudo-parabolic equation defined on Ω ⊂ R d , 1 ≤ d ≤ 3. We construct the semidiscrete approximations of ∇u and a(u)∇u + b(u)∇u t as well as u and prove the existence of the semidiscrete approximations. And also we prove the optimal convergence of ∇u and a(u)∇u + b(u)∇u t as well as u in L² normed space.
참고문헌 (Reference)
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2 R. E. Ewing, "Time-stepping Galerkin methods for nonlinear Sobolev partial differential equations" 15 (15): 1125-1150, 1978
3 D. N. Arnold, "Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable" 36 (36): 53-63, 1981
4 R. W. Carroll, "Singular and Degenerate Cauchy Problems" Academic Press 1976
5 P. J. Chen, "On a theory of heat conduction involving two temperatures" 19 (19): 614-627, 1968
6 D. Shi, "Nonconforming H1-Galerkin mixed FEM for Sobolev equations on anisotropic meshes" 25 (25): 335-344, 2009
7 Y. Chen, "Lp error estimates of two-grid schemes of expanded mixed finite element methods" 209 (209): 197-205, 2009
8 F. Gao, "Local discontinuous Galerkin finite element method and error estimates for one class of Sobolev equation" 41 (41): 436-460, 2009
9 D. Shi, "High accuracy analysis of a new nonconforming mixed finite element scheme for sobolev equation" 218 (218): 3176-3186, 2011
10 J. Jr. Douglas, "Global estimates for mixed methods for second order elliptic equations" 44 (44): 39-52, 1985
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CONDITIONAL CENTRAL LIMIT THEOREMS FOR A SEQUENCE OF CONDITIONAL INDEPENDENT RANDOM VARIABLES
ROBUSTLY SHADOWABLE CHAIN COMPONENTS OF C1 VECTOR FIELDS
TIGHT TOUGHNESS CONDITION FOR FRACTIONAL (g, f, n)-CRITICAL GRAPHS
학술지 이력
연월일 | 이력구분 | 이력상세 | 등재구분 |
---|---|---|---|
2023 | 평가예정 | 해외DB학술지평가 신청대상 (해외등재 학술지 평가) | |
2020-01-01 | 평가 | 등재학술지 유지 (해외등재 학술지 평가) | ![]() |
2010-01-01 | 평가 | 등재학술지 유지 (등재유지) | ![]() |
2008-01-01 | 평가 | 등재학술지 유지 (등재유지) | ![]() |
2006-01-01 | 평가 | 등재학술지 유지 (등재유지) | ![]() |
2004-01-01 | 평가 | 등재학술지 유지 (등재유지) | ![]() |
2001-07-01 | 평가 | 등재학술지 선정 (등재후보2차) | ![]() |
1999-01-01 | 평가 | 등재후보학술지 선정 (신규평가) | ![]() |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.4 | 0.14 | 0.3 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.23 | 0.19 | 0.375 | 0.03 |