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Volumn 206, Issue 1, 2005, Pages 95-110

Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations

Author keywords

Adaptive mesh refinement; Parameter estimation; Sensitivity analysis

Indexed keywords

ADAPTIVE ALGORITHMS; CALIBRATION; CONSTRAINED OPTIMIZATION; ERRORS; MESH GENERATION; NUMBER THEORY; PARAMETER ESTIMATION; SENSITIVITY ANALYSIS;

EID: 33947237419     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.12.018     Document Type: Article
Times cited : (50)

References (14)
  • 2
    • 0010473350 scopus 로고    scopus 로고
    • Mesh adaptation for stationary flow control
    • R. Becker, Mesh adaptation for stationary flow control, J. Math. Fluid Mech. 3 (4) (2001) 317-341.
    • (2001) J. Math. Fluid Mech. , vol.3 , Issue.4 , pp. 317-341
    • Becker, R.1
  • 3
    • 0442298658 scopus 로고    scopus 로고
    • Multigrid techniques for finite elements on locally refined meshes
    • R. Becker, M. Braack, Multigrid techniques for finite elements on locally refined meshes, Numer. Linear Algebra Appl. (2000).
    • (2000) Numer. Linear Algebra Appl.
    • Becker, R.1    Braack, M.2
  • 4
    • 0030383153 scopus 로고    scopus 로고
    • A feed-back approach to error control in finite element methods: Basic analysis and examples
    • R. Becker, R. Rannacher, A feed-back approach to error control in finite element methods: Basic analysis and examples, East-West J. Numer. Math. 4 (1996) 237-264.
    • (1996) East-West J. Numer. Math. , vol.4 , pp. 237-264
    • Becker, R.1    Rannacher, R.2
  • 5
    • 85022001969 scopus 로고    scopus 로고
    • An optimal control approach to a-posteriori error estimation
    • A. Iserles (Ed.), Cambridege University Press
    • R. Becker, R. Rannacher, An optimal control approach to a-posteriori error estimation, in: A. Iserles (Ed.), Acta Numerica 2001, Cambridege University Press, 2001, pp. 1-102.
    • (2001) Acta Numerica 2001 , pp. 1-102
    • Becker, R.1    Rannacher, R.2
  • 6
    • 0842325124 scopus 로고    scopus 로고
    • A posteriori error estimation for finite element discretizations of parameter identification problems
    • R. Becker, B. Vexler, A posteriori error estimation for finite element discretizations of parameter identification problems, Numer. Math. 96 (3) (2004) 435-459.
    • (2004) Numer. Math. , vol.96 , Issue.3 , pp. 435-459
    • Becker, R.1    Vexler, B.2
  • 7
    • 11144329326 scopus 로고    scopus 로고
    • Solutions of 3D Navier-Stokes benchmark problems with adaptive finite elements
    • (accepted)
    • M. Braack, T. Richter. Solutions of 3D Navier-Stokes benchmark problems with adaptive finite elements. Comput. Fluids (accepted).
    • Comput. Fluids
    • Braack, M.1    Richter, T.2
  • 8
    • 0004041275 scopus 로고    scopus 로고
    • Numerical methods for unconstrained optimization and nonlinear equations, Number 16 in Classics in Applied Mathematics. SIAM
    • J.E. Dennis, R.B. Schnabel, Numerical methods for unconstrained optimization and nonlinear equations, Number 16 in Classics in Applied Mathematics. SIAM, Society for Industrial and Applied Mathematics, 1996.
    • (1996) Society for Industrial and Applied Mathematics
    • Dennis, J.E.1    Schnabel, R.B.2
  • 9
    • 2342466141 scopus 로고    scopus 로고
    • Parametric sensitivity analysis in optimal control of a reaction-diffusion system-part I solution differentiability
    • R. Griesse, Parametric sensitivity analysis in optimal control of a reaction-diffusion system-part I solution differentiability, Numer. Funct. Anal. Optim. 25 (1-2) (2004) 93-117.
    • (2004) Numer. Funct. Anal. Optim. , vol.25 , Issue.1-2 , pp. 93-117
    • Griesse, R.1
  • 10
    • 0029777695 scopus 로고
    • Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations
    • J.G. Heywood, R. Rannacher, S. Turek, Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations, Int. J. Numer. Math. Fluids 22 (1992) 325-352.
    • (1992) Int. J. Numer. Math. Fluids , vol.22 , pp. 325-352
    • Heywood, J.G.1    Rannacher, R.2    Turek, S.3
  • 12
    • 0037005085 scopus 로고    scopus 로고
    • Sensitivity analysis for parametric optimal control of semilinear parabolic equations
    • K. Malanowski, Sensitivity analysis for parametric optimal control of semilinear parabolic equations, J. Convex Anal. 9 (2) (2002) 543-561.
    • (2002) J. Convex Anal. , vol.9 , Issue.2 , pp. 543-561
    • Malanowski, K.1
  • 13
    • 0003982971 scopus 로고    scopus 로고
    • Springer Series in Operations Research, Springer, New York
    • J. Nocedal, S.J. Wright, Numerical Optimization. Springer Series in Operations Research, Springer, New York, 1999.
    • (1999) Numerical Optimization
    • Nocedal, J.1    Wright, S.J.2
  • 14
    • 85190135388 scopus 로고    scopus 로고
    • A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements
    • (accepted)
    • R. Rannacher, B. Vexler. A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements. SIAM J. Contr. Optim. (accepted).
    • SIAM J. Contr. Optim.
    • Rannacher, R.1    Vexler, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.