메뉴 건너뛰기




Volumn 43, Issue 1-2, 2013, Pages 249-269

A coupling method based on new MFE and FE for fourth-order parabolic equation

Author keywords

Error estimates; Finite element scheme; Fourth order parabolic equation; New coupling method; New mixed scheme; Square integrable (L 2( ))2 space

Indexed keywords

COUPLING METHODS; ERROR ESTIMATES; FINITE ELEMENT SCHEMES; FOURTH-ORDER PARABOLIC EQUATION; MIXED SCHEMES; SQUARE INTEGRABLE;

EID: 84883830673     PISSN: 15985865     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12190-013-0662-4     Document Type: Article
Times cited : (7)

References (18)
  • 1
    • 0007121464 scopus 로고    scopus 로고
    • Full-order convergence of a mixed finite element method for fourth-order elliptic equations
    • 1672219 10.1006/jmaa.1998.6209
    • Li, J.C.: Full-order convergence of a mixed finite element method for fourth-order elliptic equations. J. Math. Anal. Appl. 230, 329-349 (1999)
    • (1999) J. Math. Anal. Appl. , vol.230 , pp. 329-349
    • Li, J.C.1
  • 2
    • 34249287655 scopus 로고    scopus 로고
    • Optimal error estimates of mixed finite element method for a fourth-order nonlinear elliptic problem
    • 2332548 10.1016/j.jmaa.2006.12.053
    • Li, J.C.: Optimal error estimates of mixed finite element method for a fourth-order nonlinear elliptic problem. J. Math. Anal. Appl. 334, 183-195 (2007)
    • (2007) J. Math. Anal. Appl. , vol.334 , pp. 183-195
    • Li, J.C.1
  • 3
    • 33745795169 scopus 로고    scopus 로고
    • Optimal convergence analysis of mixed finite element methods for fourth-order elliptic and parabolic problems
    • 10.1002/num.20127
    • Li, J.C.: Optimal convergence analysis of mixed finite element methods for fourth-order elliptic and parabolic problems. Numer. Methods Partial Differ. Equ. 22, 884-896 (2006)
    • (2006) Numer. Methods Partial Differ. Equ. , vol.22 , pp. 884-896
    • Li, J.C.1
  • 4
    • 16244417462 scopus 로고    scopus 로고
    • Mixed methods for fourth-order elliptic and parabolic problems using radial basis function
    • 2131991 10.1007/s10444-004-1807-7
    • Li, J.C.: Mixed methods for fourth-order elliptic and parabolic problems using radial basis function. Adv. Comput. Math. 23, 21-30 (2005)
    • (2005) Adv. Comput. Math. , vol.23 , pp. 21-30
    • Li, J.C.1
  • 5
    • 1842779027 scopus 로고    scopus 로고
    • Analysis of expanded mixed methods for fourth-order elliptic problems
    • 10.1002/(SICI)1098-2426(199709)13:5<483: AID-NUM3>3.0.CO;2-F
    • Chen, Z.X.: Analysis of expanded mixed methods for fourth-order elliptic problems. Numer. Methods Partial Differ. Equ. 13(5), 483-503 (1997)
    • (1997) Numer. Methods Partial Differ. Equ. , vol.13 , Issue.5 , pp. 483-503
    • Chen, Z.X.1
  • 7
    • 0032357417 scopus 로고    scopus 로고
    • Finite element approximation of a fourth order nonlinear degenerate parabolic equation
    • 1650035 10.1007/s002110050377
    • Barrett, J.W.; Blowey, J.F.; Garcke, H.: Finite element approximation of a fourth order nonlinear degenerate parabolic equation. Numer. Math. 80, 525-556 (1998)
    • (1998) Numer. Math. , vol.80 , pp. 525-556
    • Barrett, J.W.1    Blowey, J.F.2    Garcke, H.3
  • 8
    • 80052156389 scopus 로고    scopus 로고
    • Finite element analysis for Cahn-Hilliard equation
    • 2271801 (in Chinese)
    • Zhang, T.: Finite element analysis for Cahn-Hilliard equation. Math. Numer. Sin. 28(3), 281-292 (2006) (in Chinese)
    • (2006) Math. Numer. Sin. , vol.28 , Issue.3 , pp. 281-292
    • Zhang, T.1
  • 9
    • 84860219409 scopus 로고    scopus 로고
    • Mixed finite element methods for a fourth order reaction diffusion equation
    • 2914790 10.1002/num.20679
    • Danumjaya, P.; Pani, A.K.: Mixed finite element methods for a fourth order reaction diffusion equation. Numer. Methods Partial Differ. Equ. 28(4), 1227-1251 (2012)
    • (2012) Numer. Methods Partial Differ. Equ. , vol.28 , Issue.4 , pp. 1227-1251
    • Danumjaya, P.1    Pani, A.K.2
  • 10
    • 84877262957 scopus 로고    scopus 로고
    • 1-Galerkin mixed element method and numerical simulation for the fourth-order parabolic partial differential equations
    • 3025431 (in Chinese)
    • 1-Galerkin mixed element method and numerical simulation for the fourth-order parabolic partial differential equations. Math. Numer. Sin. 34(2), 259-274 (2012) (in Chinese)
    • (2012) Math. Numer. Sin. , vol.34 , Issue.2 , pp. 259-274
    • Liu, Y.1    Li, H.2    He, S.3    Gao, W.4    Fang, Z.C.5
  • 11
    • 0242677020 scopus 로고    scopus 로고
    • A fourth-order parabolic equation modeling epitaxial thin film growth
    • 2008844 10.1016/S0022-247X(03)00474-8
    • King, B.B.; Stein, O.; Winkler, M.: A fourth-order parabolic equation modeling epitaxial thin film growth. J. Math. Anal. Appl. 286, 459-490 (2003)
    • (2003) J. Math. Anal. Appl. , vol.286 , pp. 459-490
    • King, B.B.1    Stein, O.2    Winkler, M.3
  • 12
    • 84871361849 scopus 로고    scopus 로고
    • Analysis of mixed finite element methods for fourth-order wave equations
    • 3003381 10.1016/j.camwa.2012.10.002
    • He, S.; Li, H.; Liu, Y.: Analysis of mixed finite element methods for fourth-order wave equations. Comput. Math. Appl. 65(1), 1-16 (2012)
    • (2012) Comput. Math. Appl. , vol.65 , Issue.1 , pp. 1-16
    • He, S.1    Li, H.2    Liu, Y.3
  • 13
    • 80054997378 scopus 로고    scopus 로고
    • New mixed element schemes for second order elliptic problem
    • 2724961 (in Chinese)
    • Chen, S.C.; Chen, H.R.: New mixed element schemes for second order elliptic problem. Math. Numer. Sin. 32(2), 213-218 (2010) (in Chinese)
    • (2010) Math. Numer. Sin. , vol.32 , Issue.2 , pp. 213-218
    • Chen, S.C.1    Chen, H.R.2
  • 14
    • 79960503639 scopus 로고    scopus 로고
    • A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair
    • 2818083 10.1080/00207160.2010.534466
    • Shi, F.; Yu, J.P.; Li, K.T.: A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair. Int. J. Comput. Math. 88(11), 2293-2305 (2011)
    • (2011) Int. J. Comput. Math. , vol.88 , Issue.11 , pp. 2293-2305
    • Shi, F.1    Yu, J.P.2    Li, K.T.3
  • 15
    • 80054984374 scopus 로고    scopus 로고
    • High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations
    • 2851420 10.1016/j.amc.2011.08.054
    • Shi, D.Y.; Zhang, Y.D.: High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations. Appl. Math. Comput. 218(7), 3176-3186 (2011)
    • (2011) Appl. Math. Comput. , vol.218 , Issue.7 , pp. 3176-3186
    • Shi, D.Y.1    Zhang, Y.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.