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Referencias:

• Ainsworth, M., Pinchedez, K., hp-approximation theory for BDFM and RT finite elements on quadrilaterals (2002) SIAM J. Numer. Anal., 40 (6), pp. 2047-2068
• Ainsworth, M., Senior, B., Aspects of an adaptive hp-finite element method: adaptive strategy, conforming approximation and efficient solvers (1997) Comput. Methods Appl. Mech. Eng., 150 (1-4), pp. 65-87
• Ainsworth, M., Senior, B., An adaptive refinement strategy for hp-finite-element computations (1998) Appl. Numer. Math., 26 (1-2), pp. 165-178
• Armentano, M.G., Padra, C., Rodríguez, R., Scheble, M., An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations (2011) Comput. Methods Appl. Mech. Eng., 200, pp. 178-188
• Armentano, M.G., Padra, C., Rodríguez, R., Scheble, M., An hp adaptive strategy to compute the vibration modes of a fluid-solid coupled system (2012) Comput. Model. Eng. Sci., 84, pp. 359-381
• Armentano, M.G., Padra, C., Scheble, M., An hp finite element adaptive scheme to solve the Poisson problem on curved domains (2015) Comput. Appl. Math., 34 (2), pp. 705-727
• Babuška, I., Guo, B.Q., Optimal estimates for lower and upper bounds of approximation errors in the p-version of the finite element method in two dimensions (2000) Numer. Math., 85, pp. 219-255
• Babuška, I., Guo, B., Direct and inverse approximation theorems for the p-version of the finite element method in the framework of weighted Besov spaces. Part I: approximability of functions in the weighted Besov spaces (2001) SIAM J. Numer. Anal., 39, pp. 1512-1538
• Babuška, I., Guo, B.Q., Direct and inverse approximation theorems for the p-version of the finite element method in the framework of weighted Besov spaces. Part II: optimal rate of convergence of the p-version finite element solutions (2002) Math. Models Methods Appl. Sci., 12, pp. 689-719
• Babuška, I., Guo, B.Q., Local Jacobi operators and applications to the p-version of finite element method in two dimensions (2010) SIAM J. Numer. Anal., 48, pp. 147-163
• Belgacem, F.B., Brenner, S.C., Some nonstandard finite element estimates with applications to 3D Poisson and Signorini problems (2001) Electron. Trans. Numer. Anal., 12, pp. 134-148
• Bernardi, C., Fiétier, N., Owens, R.G., An error indicator for mortar element solutions to the Stokes problem (2001) IMA J. Numer. Anal., 21, pp. 857-886
• Bernardi, C., Maday, Y., Polynomial interpolation results in Sobolev spaces (1992) J. Comput. Appl. Math., 43, pp. 53-80
• Bernardi, C., Maday, Y., Spectral Methods (1997) Handb. Numer. Anal., 5. , North-Holland Amsterdam
• Braess, D., Pillwein, V., Schöberl, J., Equilibrated residual error estimates are p-robust (2009) Comput. Methods Appl. Mech. Eng., 198, pp. 1189-1197
• Bürg, M., Dörfler, W., Convergence of an adaptive hp finite element strategy in higher space-dimensions (2011) Appl. Numer. Math., 61, pp. 1132-1146
• Dörfler, W., Heuveline, V., Convergence of an adaptive hp finite element strategy in one space dimension (2007) Appl. Numer. Math., 57, pp. 1108-1124
• Dörsek, P., Melenk, J.M., Symmetry-free, p-robust equilibrated error indication for the hp-version of the FEM in nearly incompressible linear elasticity (2013) Comput. Methods Appl. Math., 13, pp. 291-304
• Eibner, T., Melenk, J.M., An adaptive strategy for hp-FEM based on testing for analyticity (2007) Comput. Mech., 39, pp. 575-595
• Georgoulis, E., Hall, E., Melenk, J.M., On the suboptimality of the p-version interior penalty discontinuous Galerkin method (2010) J. Sci. Comput., 42 (1), pp. 54-67
• Gui, W., Babuška, I., The h,p and h-p versions of the finite element method in 1 dimension. I. The error analysis of the p-version (1986) Numer. Math., 49, pp. 577-612
• Guo, B.Q., Recent progress on a-posteriori error analysis for the p and h-p finite element methods (2005) Recent Advances in Adaptive Computation, Contemp. Math., 383, pp. 47-61. , Amer. Math. Soc. Providence, RI
• Guo, B.Q., Approximation theory for the p-version of the finite element method in three dimensions. Part II: convergence of the p version of the finite element method (2009) SIAM J. Numer. Anal., 47, pp. 2578-2611
• Guo, B.Q., Babuška, I., Direct and inverse approximation theorems for the p-version of the finite element method in the framework of weighted Besov spaces. Part III: inverse approximation theorems (2013) J. Approx. Theory, 173, pp. 122-157
• Guo, B.Q., Sun, W., The optimal convergence of the h-p version of the finite element method with quasi-uniform meshes (2007) SIAM J. Numer. Anal., 45 (2), pp. 698-730
• Guo, B.Y., Wang, L.L., Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces (2004) J. Approx. Theory, 128 (1), pp. 1-41
• Houston, P., Schwab, C., Süli, E., Discontinuous hp-finite element methods for advection–diffusion–reaction problems (2002) SIAM J. Numer. Anal., 39 (6), pp. 2133-2163
• Lang, S., Complex Analysis (1999), fourth ed. Springer-Verlag New York; Melenk, J.M., hp-interpolation of nonsmooth functions and an application to hp—a posteriori error estimation (2005) SIAM J. Numer. Anal., 43, pp. 127-155
• Melenk, J.M., Wohlmuth, B.I., On residual-based a posteriori error estimation in hp-FEM (2001) Adv. Comput. Math., 15, pp. 311-331
• Schwab, C., p- and hp-finite element methods (1998) Numerical Mathematics and Scientific Computation, , The Clarendon Press Oxford University Press

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