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Volumn 34, Issue 2, 2003, Pages 121-136

A penalized Robin approach for solving a parabolic equation with nonsmooth Dirichlet boundary conditions

Author keywords

Anisotropic Sobolev spaces; Dual variational formulation; Nonsmooth Dirichlet boundary condition; Parabolic equations; Singular perturbation

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; GEOMETRY; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; PROBLEM SOLVING; VARIATIONAL TECHNIQUES;

EID: 0038105509     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (27)

References (11)
  • 1
    • 0038477511 scopus 로고    scopus 로고
    • Asymptotic analysis of some control problems
    • N. Arada, N. El Fekih and J.P. Raymond, Asymptotic analysis of some control problems, Asymptotic Anal. 24 (2000). 343-366.
    • (2000) Asymptotic Anal. , vol.24 , pp. 343-366
    • Arada, N.1    El Fekih, N.2    Raymond, J.P.3
  • 2
    • 0038138554 scopus 로고    scopus 로고
    • Dirichlet boundary control of semilinear parabolic equations. Part 1: Problems with no state constraints
    • N. Arada and J.P. Raymond, Dirichlet boundary control of semilinear parabolic equations. Part 1: Problems with no state constraints, Appl. Math. Optim. 45 (2002), 125-143.
    • (2002) Appl. Math. Optim. , vol.45 , pp. 125-143
    • Arada, N.1    Raymond, J.P.2
  • 3
    • 84966227273 scopus 로고
    • The finite element method with penalty
    • I. Babuška, The finite element method with penalty, Math. Comp. 27 (1973), 221-228.
    • (1973) Math. Comp. , vol.27 , pp. 221-228
    • Babuška, I.1
  • 4
    • 0038138556 scopus 로고    scopus 로고
    • A penalized Robin approach for convection-diffusion equations
    • in preparation
    • F. Ben Belgacem, H. El Fekih and J.P. Raymond, A penalized Robin approach for convection-diffusion equations, in preparation.
    • Ben Belgacem, F.1    El Fekih, H.2    Raymond, J.P.3
  • 5
    • 0038477513 scopus 로고    scopus 로고
    • A singularly perturbed mixed boundary value problem
    • M. Costabel and M. Dauge, A singularly perturbed mixed boundary value problem, Comm. Partial Differential Equations 21 (11&12) (1996), 1919-1949.
    • (1996) Comm. Partial Differential Equations , vol.21 , Issue.11-12 , pp. 1919-1949
    • Costabel, M.1    Dauge, M.2
  • 6
    • 0032166349 scopus 로고    scopus 로고
    • A penalized Neumann control approach for solving an optimal Dirichlet control problem for the Navier-Stokes equations
    • L.S. Hou and S.S. Ravindran, A penalized Neumann control approach for solving an optimal Dirichlet control problem for the Navier-Stokes equations, SIAM J. Control Optim. 20 (1998), 1795-1814.
    • (1998) SIAM J. Control Optim. , vol.20 , pp. 1795-1814
    • Hou, L.S.1    Ravindran, S.S.2
  • 7
    • 0033294020 scopus 로고    scopus 로고
    • Numerical approximation of optimal flow control problems by a penalty method: Error estimates and numerical results
    • L.S. Hou and S.S. Ravindran, Numerical approximation of optimal flow control problems by a penalty method: error estimates and numerical results, SIAM J. Sci. Comput. 20 (1999), 1753-1777.
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1753-1777
    • Hou, L.S.1    Ravindran, S.S.2
  • 8
    • 0009516751 scopus 로고
    • Semidiscrete approximation of hyperbolic boundary value problem with nonhomogeneous Dirichlet boundary conditions
    • L. Lasiecka and J. Sokolowski, Semidiscrete approximation of hyperbolic boundary value problem with nonhomogeneous Dirichlet boundary conditions, SIAM J. Math. Anal. 20 (1989), 1366-1387.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 1366-1387
    • Lasiecka, L.1    Sokolowski, J.2
  • 11
    • 0038138557 scopus 로고
    • Contrôlabilité et observabilité des sytèmes distribués, problèmes et méthodes
    • Thesis, École Nationale des Ponts et Chaussées, Paris
    • T. Masrour, Contrôlabilité et observabilité des sytèmes distribués, problèmes et méthodes, Thesis, École Nationale des Ponts et Chaussées, Paris, 1995.
    • (1995)
    • Masrour, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.