G. I. Marchuk, Basic and Adjoint Equations of the Dynamics of Atmosphere and Ocean, Meteorol. Gidrol, issue.2, 1974.

G. I. Marchuk, Adjoint Equations and Complex System Analysis, 1992.
DOI : 10.1007/978-94-017-0621-6

G. I. Marchuk and V. I. Agoshkov, Adjoint Equations in Nonlinear Problems and Their Applications, Functional and Numerical Methods of Mathematical Physics (Naukova Dumka, 1988.

G. I. Marchuk, V. I. Agoshkov, and V. P. Shutyaev, Adjoint Equations and Methods of Perturbations in the Nonlinear Problems of Mathematical Physics, 1993.

V. V. Penenko and N. N. Obraztsov, A Variational Initialization Method for the Fields of the Meteorological Elements, Meteorol. Gidrol.Sov. Meteorol. Hydrol, issue.11 11, 1976.

V. V. Penenko and N. N. Obraztsov, A Variational-difference Method for the Objective Analysis of Meteorological-element Fields, Meteorol. Gidrol., No.Sov. Meteorol. Hydrol, issue.6 6, 1978.

M. A. Tolstykh, N. A. Dianskii, A. V. Gusev, and D. B. Kiktev, Simulation of Seasonal Anomalies of Atmospheric Circulation Using Coupled Atmosphere- Ocean Model, Izv. Akad. Nauk, Fiz. Atmos. Okeana, issue.2 2, pp.50-50, 2014.

A. Adcroft and D. Marshall, How Slippery are Piecewise-constant Coastlines in Numerical Ocean Models?, Tellus A, p.50, 1998.

A. Arakawa and V. Lamb, Computational Design of the Basic Dynamical Processes of the UCLA General Circulation Model, Methods in Computational Physics, p.17, 1977.
DOI : 10.1016/B978-0-12-460817-7.50009-4

E. Blayo, A regional quasigeostrophic circulation model of the western North Atlantic: a model-data comparison, Journal of Marine Systems, vol.5, issue.6, p.5, 1994.
DOI : 10.1016/0924-7963(94)90006-X

F. Bryan, Parameter Sensitivity of Primitive Equation Ocean General Circulation Models, Journal of Physical Oceanography, vol.17, issue.7, 1987.
DOI : 10.1175/1520-0485(1987)017<0970:PSOPEO>2.0.CO;2

H. T. Chen, S. Y. Lin, H. R. Wang, and L. C. Fang, Estimation of two-sided boundary conditions for two-dimensional inverse heat conduction problems, International Journal of Heat and Mass Transfer, vol.45, issue.1, p.45, 2002.
DOI : 10.1016/S0017-9310(01)00138-7

P. Courtier and O. Talagrand, Variational Assimilation of Meteorological Observations with the Adjoint Vorticity Equation, Quart. J. Roy. Meteorol. Soc, vol.113, 1987.

S. Danilov, G. Kivman, and J. Schroter, A Finite-element Ocean Model: Principles and Evaluation, Ocean Modelling, p.6, 2004.

F. J. Doblas-reyes, J. Garcia-serrano, and F. Lienert, Seasonal climate predictability and forecasting: status and prospects, Wiley Interdisciplinary Reviews: Climate Change, vol.91, issue.4, 2013.
DOI : 10.1002/wcc.217

F. Dupont, D. Straub, and C. Lin, Influence of a Step-like Coastline on the Basin Scale Vorticity Budget of Mid-latitude Gyre Models, Tellus A, p.55, 2003.

M. Eby and G. Holloway, Sensitivity of a Large-scale Ocean Model to a Parameterization of Topographic Series, J. Phys. Oceanogr, p.24, 1994.

M. Ghil and P. Malanotte-rizzoli, Data Assimilation in Meteorology and Oceanography, Adv. Geophys, vol.33, 1991.
DOI : 10.1016/S0065-2687(08)60442-2

S. Gillijns, B. De, and . Moor, Joint State and Boundary Condition Estimation in Linear Data Assimilation Using Basis Function Expansion, Proceedings of the 26th IASTED International Conference on Modelling, Identification, and Control, 2007.

S. D. Griffiths, Kelvin wave propagation along straight boundaries in C-grid finite-difference models, Journal of Computational Physics, vol.255, p.255, 2013.
DOI : 10.1016/j.jcp.2013.08.040

L. Hascoet and V. Pascual, TAPENADE 2.1 Users Guide, 2004.
URL : https://hal.archives-ouvertes.fr/inria-00069880

W. R. Holland, Baroclinic and topographic influences on the transport in western boundary currents, Geophysical Fluid Dynamics, vol.13, issue.1, p.4, 1973.
DOI : 10.1073/pnas.33.11.318

E. Kalnay, M. Kanamitsu, and W. E. Baker, Global Numerical Weather Prediction at the National Meteorological Center, Bulletin of the American Meteorological Society, vol.71, issue.10, p.71, 1990.
DOI : 10.1175/1520-0477(1990)071<1410:GNWPAT>2.0.CO;2

E. Kazantsev, Boundary conditions control for a shallow-water model, International Journal for Numerical Methods in Fluids, vol.106, issue.1, p.68, 2012.
DOI : 10.1002/fld.2526

URL : https://hal.archives-ouvertes.fr/hal-00764540

E. Kazantsev, Identification of Optimal Topography by Variational Data Assimilation, J. Phys. Math, vol.1, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00340394

E. Kazantsev, Identification of Optimal Boundary Approximation by Variational Data Assimilation, J. Comp. Phys, issue.2, p.229, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00938191

E. Kazantsev, Optimized Boundary Conditions at Staircase-shaped Coastlines, Ocean Dynamics, p.65, 2015.

E. Kazantsev, Optimal Boundary Conditions for ORCA-2 Model, Ocean Dynamics, p.63, 2013.

E. Kazantsev, Optimal boundary discretization by variational data assimilation, International Journal for Numerical Methods in Fluids, vol.128, issue.3, p.65, 2011.
DOI : 10.1002/fld.2240

URL : https://hal.archives-ouvertes.fr/inria-00388862

E. Kazantsev, Sensitivity of a shallow-water model to parameters, Nonlinear Analysis: Real World Applications, vol.13, issue.3, p.13, 2012.
DOI : 10.1016/j.nonrwa.2011.11.006

URL : https://hal.archives-ouvertes.fr/hal-00652299

F. Dimet, A General Formalism of Variational Analysis, p.73091, 1982.

F. Dimet and M. Ouberdous, Retrieval of balanced fields: an optimal control method, Tellus A, vol.45, issue.5, p.45, 1993.
DOI : 10.1034/j.1600-0870.1993.00009.x

F. Dimet and O. Talagrand, Variational Algorithm for Analysis and Assimilation of Meteorological Observations, Theoretical Aspects, Tellus A, p.38, 1986.

Y. Leredde, J. M. Lellouche, J. L. Devenon, and I. Dekeyser, On Initial, Boundary Conditions and Viscosity Coefficient Control for Burgers Equation, Int. J. Numer. Meth. Fluids, issue.1, p.28, 1998.

J. Lewis and J. Derber, The Use of Adjoint Equations to Solve a Variational Adjustment Problem with Advective Constraints, Tellus A, p.37, 1985.

E. N. Lorenz, Deterministic Nonperiodic Flow, J. Atmos. Sci, vol.20, 1963.

M. Losch, A. Adcroft, and J. Campin, How Sensitive Are Coarse General Circulation Models to Fundamental Approximations in the Equations of Motion?, Journal of Physical Oceanography, vol.34, issue.1, p.34, 2004.
DOI : 10.1175/1520-0485(2004)034<0306:HSACGC>2.0.CO;2

M. Losch and P. Heimbach, Adjoint Sensitivity of an Ocean General Circulation Model to Bottom Topography, Journal of Physical Oceanography, vol.37, issue.2, p.37, 2007.
DOI : 10.1175/JPO3017.1

M. Losch and C. Wunsch, Bottom Topography as a Control Variable in an Ocean Model, Journal of Atmospheric and Oceanic Technology, vol.20, issue.11, p.20, 2003.
DOI : 10.1175/1520-0426(2003)020<1685:BTAACV>2.0.CO;2

G. I. Marchuk, Formulation of the theory of perturbations for complicated models, Applied Mathematics & Optimization, vol.2, issue.3, 1975.
DOI : 10.1007/BF01458193

G. I. Marchuk and V. V. Penenko, Application of Optimization Methods to the Problem of Mathematical Simulation of Atmospheric Processes and Enviornment Modelling and Optimization of Complex System, Lecture Notes in Control and Information Sciences, 1979.

G. I. Marchuk and V. P. Shutyaev, Iteration methods for solving a data assimilation problem, Russian Journal of Numerical Analysis and Mathematical Modelling, vol.9, issue.3, p.9, 1994.
DOI : 10.1515/rnam.1994.9.3.265

G. I. Marchuk and V. B. Zalesny, A Numerical Technique for Geophysical Data Assimilation Problem Using Pontryagins Principle and Splitting-up Method, Russ, J. Numer. Anal. and Math. Modelling, vol.8, 1993.

I. M. Navon, Practical and theoretical aspects of adjoint parameter estimation and identifiability in meteorology and oceanography, Dynamics of Atmospheres and Oceans, vol.27, issue.1-4, p.27, 1997.
DOI : 10.1016/S0377-0265(97)00032-8

I. M. Navon, X. Zou, J. Derber, and J. Sela, Variational Data Assimilation with an Adiabatic Version of the NMC Spectral Model, Monthly Weather Review, vol.120, issue.7, 1992.
DOI : 10.1175/1520-0493(1992)120<1433:VDAWAA>2.0.CO;2

P. Pellerin, H. Ritchie, and F. J. Saucier, Impact of a Two-Way Coupling between an Atmospheric and an Ocean-Ice Model over the Gulf of St. Lawrence, Monthly Weather Review, vol.132, issue.6, 2004.
DOI : 10.1175/1520-0493(2004)132<1379:IOATCB>2.0.CO;2

T. Ringler, M. Petersen, and R. L. Higdonc, A Multi-resolution Approach to Global Ocean Modeling, Ocean Modelling, p.69, 2013.

I. Shulman, Local Data Assimilation in Specification of Open Boundary Conditions, Journal of Atmospheric and Oceanic Technology, vol.14, issue.6, p.14, 1997.
DOI : 10.1175/1520-0426(1997)014<1409:LDAISO>2.0.CO;2

I. Shulman, J. K. Lewis, A. F. Blumberg, and B. N. Kim, Optimized Boundary Conditions and Data Assimilation with Application to the M2 Tide in the Yellow Sea, J. Atmos. Ocean. Technology, issue.4, p.15, 1998.

T. N. Stockdale, D. L. Anderson, and M. A. Balmaseda, ECMWF Seasonal Forecast System 3 and Its Prediction of Sea Surface Temperature, Climate Dynamics, p.37, 2011.

V. Tailandier, V. Echevin, L. Mortier, and J. Devenon, Controlling Boundary Conditions with a Fourdimensional Variational Data-assimilation Method in a Non-stratified Open Coastal Model, Ocean Dynamics, p.54, 2004.

J. Thepaut and P. Courtier, Four-dimensional variational data assimilation using the adjoint of a multilevel primitive-equation model, Quarterly Journal of the Royal Meteorological Society, vol.110, issue.502, p.117, 1991.
DOI : 10.1002/qj.49711750206

J. Verron and E. Blayo, The No-Slip Condition and Separation of Western Boundary Currents, Journal of Physical Oceanography, vol.26, issue.9, p.26, 1996.
DOI : 10.1175/1520-0485(1996)026<1938:TNSCAS>2.0.CO;2