- Alessandrini , G. 1986 . An identification problem for an elliptic equation in two variables . Ann. Mat. Pura. Appl. , 145 : 265 – 296 .
- Allgower , E.L. , Böhmer , K. , Potra , F.A. and Rheinboldt , W.C. 1986 . A mesh-independence principle for operator equations and their discretizations . SIAM J. Numer. Anal. , 23 ( 1 ) : 160 – 169 .
- Allgower , E.L. and McCormick , S.F. 1978 . Newton's method with mesh refinements for numerical solution of nonlinear two-point boundary value problems . Numer. Math. , 29 ( 1 ) : 237 – 260 .
- Banks , H.T. and Kunisch , K. 1989 . Estimation Techniques for Distributed Parameter Systems , Boston : Birkhäuser .
- Bazaraa , M.S. and Shetty , C.M. 1979 . Nonlinear Programming, Theory and Algorithms , New York : John Wiley & Sons .
- Bocheve , P.B. and Gunzburger , M.D. 1993 . Accuracy of the least-squares methods for the navier-stokes equations . Comput. Fluids , 22 : 545 – 563 .
- Cai , Z. , Lazarov , R. , Manfeuffel , T. and McCormick , S. 1994 . First-order system least squares for second-order partial differential equations . Part I, SIAM Num. Anal. , 31 : 1785 – 1802 .
- Cai , Z. , Manfeuffel , T. and McCormick , S. 1997 . First-order system least squares for second-order partial differential equations . Part II, SIAM Num. Anal. , 34 : 425 – 454 .
- Carey , G.F. , Pehlivanov , A. and Shen , Y. 1994 . “ Least-squares mixed finite elements ” . In Finite Element Methods , Edited by: K[rbreve]í[zbreve]ek , M. , Neittaamäki , R. and Stenberg , R. 105 – 117 . Marcel Dekker, Inc. .
- Chang , C.L. and Nelson , J.J. 1997 . Least-squares finite element method for the stokes problem with zero residual of mass conservation . SIAM Num. Anal. , 34 : 480 – 489 .
- Chavent , G. 1980 . “ Indentification of distributed parameter system: About the least squares method ” . In Proc. 5th IFAC Symposium on Identifiability and System Parameter Estimation , Edited by: Iserman , R. 85 – 97 . Pergamon Press .
- Dixon , L. C. W. , Spedicato , E. and Szego , G. P. , eds. 1980 . Nonlinear optimisation, theory and algorithms , Birkhauser . The proceedings of an international summer school held at University of Bergamo, Italy, in September 1979 and repeated at the Hatfield Polytechnic, England, in July 1980).
- Ewing , R. , Lin , T. and Falk , R. 1987 . “ Inverse and ill-posed problems in reservoir simulation ” . In Inverse and Ill-Posed Problems , Edited by: Engl , H.W. and Groetsch , C.W. 483 – 497 . Academic Press, Inc .
- Falk , R.S. 1983 . Error estimates for the numerical identification of a variable coefficient . Math. Comp. , 40 : 537 – 546 .
- Frind , E.O. and Pinder , G.F. 1973 . Galerkin solution of the inverse problem for aquifer transmissivity . Water Resources Research , 9 : 1397 – 1410 .
- Ito , K. , Kroller , M. and Kunisch , K. 1991 . A numerical study of an augmented lagrangian method for the estimation of parameters in elliptic systems . SIAM J. Sci. and Stat. Computing , 12 : 884 – 910 .
- Ito , K. and Kunisch , K. 1990 . The augmented lagrangian method for parameter estimation in elliptic systems . SIAM J. Control and Optimation , 28 : 113 – 136 .
- Ito , K. and Kunisch , K. 1990 . The augmented lagrangian method for equality and inequality constrained problems in hilbert spaces . Mathematical Programming , 46 : 341 – 460 .
- Kärkkäinen , T. 1996 . Error estimates for distributed parameter identification in linear elliptic equations . Journal of Mathematical Systems, Estimation, and Control , 6 ( 1 ) : 117 – 120 .
- Kohn , R.V. and Lowe , B.D. 1988 . A variational method for parameter identification . RAIRO, Math. Model. and Numer. Anal , 22 ( 1 ) : 119 – 158 .
- Kunisch , K. 1988 . Inherent identifiability of parameters in elliptic differential equations . J. of Mathematical Analysis and Applications , 132 ( 1 ) : 453 – 472 .
- Kunisch , K. and White , L. 1987 . Identifiability under approximation for an elliptic boundary value problem . SIAM J. Control Optim. , 25 ( 1 ) : 279 – 297 .
- Lin T. A c° finite element method for an inverse problem. Applied Mathematics and Computation 1998 to appear
- McCormick , G.P. 1983 . “ Nonlinear Programming ” . In Theory, Algorithms, and Application , New York : John Wiley & Sons .
- Polis , M.P. and Goodson , R.E. 1976 . Parameter identification in distributed systems: a synthesizing overview . Proc. of the IEEE , 64 : 45 – 61 .
- Richter , G.R. 1981 . An inverse problem for the steady state diffusion equation . SIAM J. Appl. Math , 41 : 210 – 221 .
- Richter , G.R. 1981 . Numerical identification of a spatially varying diffusion coefficient . Math. Comp. , 36 : 375 – 386 .
- Rannacher , R. 1991 . “ On the convergence of the newton-raphson method for strongly nonlinear ” . In Nonlinear Computational Mechanics , Edited by: Wriggers , P. 11 – 30 . New York : Springer-Verlag . State of the Art
- Schultz , M.H. 1973 . Spline Analysis , Englewood Cliffs, N.J. : Prentice-Hall, Inc. .
- Yeh , W. 1986 . Review of parameter identification procedures in groundwater hydrology: the inverse problem . Water Resource Research , 22 : 95 – 108 .
- Zangwill , W.I. 1969 . Nonlinear Programming: A Unified Approach , Englewood Cliffs, N.J. : Prentice-Hall .
- Zeidler , E. 1990 . Nonlinear Functional Analysis and its Application, II/B , New York : Springer-Verlag .
- Choose new content alerts to be informed about new research of interest to you
- Easy remote access to your institution's subscriptions on any device, from any location
- Save your searches and schedule alerts to send you new results
- Export your search results into a .csv file to support your research