Project schedule for MATH 689, Spring 2016
Instructor: Dr. Alan Demlow
Thursday, April 28 (in class)
1. Peng [4]
2. Justin [6, 2]
Tuesday, May 3 (in class)
1. Min [3]
2. Yong [1, 7]
Wednesday, May 4, 12:45-2:45 p.m., in our regular classroom
1. Yanbo [9]
2. Wenyu [5]
3. Anna [8]
References
[1] E. Bänsch, P. Morin, and R. H. Nochetto, An adaptive Uzawa FEM for the Stokes
problem: convergence without the inf-sup condition, SIAM J. Numer. Anal., 40 (2002),
pp. 1207–1229.
[2] A. Bonito and A. Demlow, Convergence and optimality of higher-order adaptive finite
element methods for eigenvalue clusters, preprint, (2015).
[3] A. Bonito and R. H. Nochetto, Quasi-optimal convergence rate of an adaptive discontinuous Galerkin method, SIAM J. Numer. Anal., 48 (2010), pp. 734–771.
[4] L. Chen, R. H. Nochetto, E. Otárola, and A. J. Salgado, A PDE approach to
fractional diffusion: a posteriori error analysis, J. Comput. Phys., 293 (2015), pp. 339–358.
[5] A. Demlow and R. Stevenson, Convergence and quasi-optimality of an adaptive finite
element method for controlling L2 errors, Numer. Math., 117 (2011), pp. 185–218.
[6] D. Gallistl, An optimal adaptive FEM for eigenvalue clusters, Numer. Math., 130 (2015),
pp. 467–496.
[7] T. Gantumur, On the convergence theory of adaptive mixed finite element methods for the
Stokes problem, ArXiv e-prints, (2014).
[8] M. S. Mommer and R. Stevenson, A goal-oriented adaptive finite element method with
convergence rates, SIAM J. Numer. Anal., 47 (2009), pp. 861–886.
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[9] L. Zhong, L. Chen, S. Shu, G. Wittum, and J. Xu, Convergence and Optimality of
adaptive edge finite element methods for time-harmonic Maxwell equations, Math. Comp.,
(To appear.).
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