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Bibliography
[1] Elliott, C.M., Larsson, S., A finite element model for the time-dependent Joule heating problem. Math. Comp. 64:212 (1995), 1433–1453.
[2] Akrivis, G., Larsson, S., Linearly implicit finite element methods for the time-dependent Joule heating problem. BIT 45 (2005), 429–442.
[3] Barglik, J., Doležel, I., Karban, P., Ulrych, B., Modelling of continual induction hardening in quasi-coupled formulation. Compel 24:1 (2005), 251–260.
[4] Bermúdez, A., Gómez, D., Muñiz, M., Salgado, P., Transient numerical simulation of a thermoelectrical problem in cylindrical induction heating furnaces. Adv. Comput. Math. 26:1–3 (2007), 39–62.
[5] Sun, D., Manoranjan, V., Yin, H.-M., Numerical solutions for a coupled parabolic equations arising induction heating processes. Discrete Contin. Dyn. Syst. 2007 (2007), 956–964.
[6] Gao, H., Optimal error analysis of Galerkin fems for nonlinear Joule heating equations. J. Sci. Comput. 58:3 (2014), 627–647.
[7] Yin, H.-M., Global solutions of Maxwell's equations in an electromagnetic field with a temperature-dependent electrical conductivity. European J. Appl. Math. 5 (1994), 57–64.
[8] Yin, H.-M., On Maxwell's equations in an electromagnetic field with the temperature effect. SIAM J. Math. Anal. 29:3 (1998), 637–651.
[9] Yin, H.-M., Regularity of weak solution to Maxwell's equations and applications to microwave heating. J. Differential Equations 200:1 (2004), 137–161.
[10] Sun, D., Manoranjan, V., Yin, H.-M., Numerical solutions for a coupled parabolic equations arising induction heating processes. Dyn. Syst., 2007, 956–964.
[11] Bień, M., Global solutions of the non-linear problem describing Joule's heating in three space dimensions. Math. Methods Appl. Sci. 28:9 (2005), 1007–1030.
[12] Hömberg, D., A mathematical model for induction hardening including mechanical effects. Nonlinear Anal. RWA 5:1 (2004), 55–90.
[13] Hömberg, D., Petzold, T., Rocca, E., Analysis and simulations of multifrequency induction hardening. Nonlinear Anal. RWA 22:0 (2015), 84–97.
[14] Bossavit, A., Rodrigues, J.F., On the electromagnetic “induction heating” problem in bounded domains. Adv. Math. Sci. Appl. 4:1 (1994), 79–92.
[15] Chovan, J., Slodička, M., Induction hardening of steel with restrained joule heating and nonlinear law for magnetic induction field: Solvability. JCAM 311 (2017), 630–644.
[16] M. Slodička, J. Chovan, Solvability for induction hardening including nonlinear magnetic field and controlled joule heating, Appl. Anal. Available online at http://dx.doi.org/101080/0003681120161243661.
[23] Kačur, J., Method of Rothe in Evolution Equations Teubner Texte zur Mathematik, vol. 80, 1985, Teubner, Leipzig.
[24] Rektorys, K., The Method of Discretization in Time and Partial Differential Equations Mathematics and Its Applications (East European Series), vol. 4, 1982, D. Reidel Publishing Company, Dordrecht - Boston - London.
[25] Nečas, J., Introduction to the Theory of Nonlinear Elliptic Equations, 1986, John Wiley & Sons Ltd, Chichester.
[26] Slodička, M., Dehilis, S., A nonlinear parabolic equation with a nonlocal boundary term. J. Comput. Appl. Math. 233:12 (2010), 3130–3138.
[28] Minty, G.J., On a “monotonicity” method for the solution of nonlinear equations in Banach spaces. Proc. Natl. Acad. Sci. 50:6 (1963), 1038–1041.
[29] Browder, F.E., Nonlinear elliptic boundary value problems. ii. Trans. Amer. Math. Soc. 117 (1965), 530–550.
[30] Kufner, A., John, O., Fučík, S., Function Spaces, Monographs and Textbooks on Mechanics of Solids and Fluids, 1977, Noordhoff International Publishing, Leyden.
[32] Geuzaine, C., Remacle, J.-F., Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. Internat. J. Numer. Methods Engrg. 79:11 (2009), 1309–1331.
[33] Dular, P., Geuzaine, C., Henrotte, F., Legros, W., A general environment for the treatment of discrete problems and its application to the finite element method. IEEE Trans. Magn. 34:5 (1998), 3395–3398.
[34] Bossavit, A., Computational electromagnetism. Variational Formulations, Complementarity, Edge Elements Electromagnetism, vol. 18, 1998, Academic Press, Orlando, FL.
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