Abstract
Sophisticated methods of automatic adaptivity in finite element methods of higher order of accuracy are presented. The main attention is paid to hp-adaptivity techniques that exhibit the highest level of flexibility and exponential convergence of results. The technologies implemented in our own fully adaptive FEM codes Agros2D and Hermes2D based on a higher-order finite element method are illustrated by three typical examples.
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© 2013 Springer-Verlag Berlin Heidelberg
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Karban, P., Doležel, I., Mach, F., Ulrych, B. (2013). Advanced Adaptive Algorithms in 2D Finite Element Method of Higher Order of Accuracy. In: Kyamakya, K., Halang, W., Mathis, W., Chedjou, J., Li, Z. (eds) Selected Topics in Nonlinear Dynamics and Theoretical Electrical Engineering. Studies in Computational Intelligence, vol 459. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34560-9_14
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DOI: https://doi.org/10.1007/978-3-642-34560-9_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34559-3
Online ISBN: 978-3-642-34560-9
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