[1] Barber S.A.: Soil Nutrient Bioavailability: A Mechanistic Approach. John Wiley & Sons, Inc., New York, 1995.
[2] Bialecki R., Nowak A.J.:
Boundary value problems in heat conduction with nonlinear material and nonlinear boundary conditions. Appl. Math. Model. 5 (1981), 417-421.
Zbl 0475.65078
[3] Brenner S.C., Scott L.R.:
The Mathematical Theory of Finite Element Methods. Springer, New York, 1994.
MR 1278258 |
Zbl 1135.65042
[4] Chow S.S.:
Finite element error estimates for nonlinear elliptic equations of monotone type. Numer. Math. 54 (1989), 373-393.
MR 0972416
[5] Ciarlet P.G.:
The Finite Element Method for Elliptic Problems. North Holland, Amsterdam, 1978.
MR 0520174 |
Zbl 0547.65072
[6] Ciarlet P.G., Raviart P.A.:
The combined effect of curved boundaries and numerical integration in isoparametric finite element method. in: The Mathematical Foundations of the Finite Element Method with Application to Partial Differential Equations (A.K. Aziz, Ed.), Academic Press, New York, 1972.
MR 0421108
[7] Claassen N., Barber S.A.: Simulation model for nutrient uptake from soil by a growing plant root system. Agronomy Journal 68 (1976), 961-964.
[8] Cwikel M.:
Real and complex interpolation and extrapolation of compact operators. Duke Math. J. 65.2 (1992), 333-343.
MR 1150590 |
Zbl 0787.46062
[9] Dolejší V., Feistauer M., Schwab C.:
A finite volume discontinuous Galerkin scheme for nonlinear convection-diffusion problems. preprint, Forschungsinstitut für Mathematik, ETH Zürich, January 2001 (to appear in Calcolo).
MR 1901200
[10] Feistauer M.:
Mathematical Methods in Fluid Mechanics. The Pitman Monographs and Surveys in Pure and Applied Mathematics 67, Longman Scientific and Technical Series, Harlow, 1993.
MR 1266627
[11] Feistauer M., Kalis H., Rokyta M.:
Mathematical modelling of an electrolysis process. Comment Math. Univ. Carolinae 30 (1989), 465-477.
MR 1031864 |
Zbl 0704.35021
[12] Feistauer M., Najzar K.:
Finite element approximation of a problem with a nonlinear Newton boundary condition. Numer. Math. 78 (1998), 403-425.
MR 1603350 |
Zbl 0888.65118
[13] Feistauer M., Najzar K., Sobotíková V.:
Error estimates for the finite element solution of elliptic problems with nonlinear Newton boundary conditions. Numer. Funct. Anal. Optim. 20 (1999), 835-851.
MR 1728186
[14] Feistauer M., Najzar K., Sobotíková V.:
On the finite element analysis of problems with nonlinear Newton boundary conditions in nonpolygonal domains. Appl. Math. 46 (2001), 353-382.
MR 1925193 |
Zbl 1066.65124
[15] Feistauer M., Najzar K., Sobotíková V., Sváček P.: Numerical analysis of problems with nonlinear Newton boundary conditions. in: Proc. of the 3rd European Conference Numerical Mathematics and Advanced Applications (P. Neittaanmäki, T. Tiihonen, P. Tarvainen, Editors), World Scientific, Singapore, 2000, pp.486-493.
[16] Feistauer M., Sobotíková V.:
Finite element approximation of nonlinear elliptic problems with discontinuous coefficients. M$^{2}$AN 24 (1990), 457-500.
MR 1070966
[17] Feistauer M., Ženíšek A.:
Finite element solution of nonlinear elliptic problems. Numer. Math. 50 (1987), 451-475.
MR 0875168
[18] Ganesh M., Graham I.G., Sivaloganathan J.:
A pseudospectral three-dimensional boundary integral method applied to a nonlinear model problem from finite elasticity. SIAM J. Numer. Anal. 31 (1994), 1378-1414.
MR 1293521 |
Zbl 0815.41008
[19] Ganesh M., Steinbach O.:
Boundary element methods for potential problems with nonlinear boundary conditions. Applied Mathematics Report AMR98/17, School of Mathematics, The University of New South Wales, Sydney, 1998.
Zbl 0971.65107
[20] Ganesh M., Steinbach O.:
Nonlinear boundary integral equations for harmonic problems. Applied Mathematics Report AMR98/20, School of Mathematics, The University of New South Wales, Sydney, 1998.
MR 1738277 |
Zbl 0974.65112
[21] Girault V., Raviart P.A.:
Finite Element Approximation of the Navier-Stokes Equations. Lecture Notes in Mathematics 749, Springer-Verlag, Berlin-Heidelberg-New York, 1979.
MR 0548867 |
Zbl 0441.65081
[22] Křížek M., Liu L., Neittaanmäki P.:
Finite element analysis of a nonlinear elliptic problem with a pure radiation condition. in: Applied Nonlinear Analysis, Kluwer, Amsterdam, 1999, pp.271-280.
MR 1727454
[23] Kufner A., John O., Fučík S.:
Function Spaces. Academia, Prague, 1977.
MR 0482102
[24] Kurzweil J.:
Ordinary Differential Equations. Elsevier, Amsterdam-Oxford-New York-Tokyo, 1986.
MR 0929466 |
Zbl 0756.34003
[25] Lions J.L.:
Quelques méthodes de résolution des problémes aux limites non linéaires. Dunod, Paris, 1969.
MR 0259693 |
Zbl 0248.35001
[26] Lions J.L., Magenes E.:
Problémes aux limites non homogénes et applications. Dunod, Paris, 1968.
Zbl 0212.43801
[27] Liu L., Křížek M.: Finite element analysis of a radiation heat transfer problem. J. Comput. Math. 16 (1998), 327-336.
[28] Málek J., Nečas J., Rokyta M., Růžička M.:
Weak and Measure-Valued Solutions to Evolutionary PDEs. Chapman & Hall, London, 1996.
MR 1409366
[29] Moreau R., Ewans J.W.: An analysis of the hydrodynamics of aluminium reduction cells. J. Electrochem. Soc. 31 (1984), 2251-2259.
[30] Nečas J.:
Les méthodes directes en théories des équations elliptiques. Academia, Prague, 1967.
MR 0227584
[31] Sváček P.: Higher order finite element method for a problem with nonlinear boundary condition. in: Proc. of the 13th Summer School ``Software and Algorithms of Numerical Mathematics'', West Bohemian University Pilsen, 1999, pp.301-308.
[33] Ženíšek A.:
Nonhomogeneous boundary conditions and curved triangular finite elements. Appl. Math. 26 (1981), 121-141.
MR 0612669
[34] Ženíšek A.:
The finite element method for nonlinear elliptic equations with discontinuous coefficients. Numer. Math. 58 (1990), 51-77.
MR 1069653
[35] Zlámal M.:
Curved elements in the finite element method. I. SIAM J. Numer. Anal. 10 (1973), 229-240.
MR 0395263