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Problém adaptivity v hp verzi metody konečných prvků
 Vejchodský, Tomáš
The hp-version of the finite element method (hp-FEM) is extremely efficient numerical method for solving partial differential equations. In comparison with low-order methods it is capable to achieve exponential rate of convergence even though the solution has singularities and/or boundary/internal layers. To achieve the exponential convergence it is necessary to adapt both the geometry of the mesh and the polynomial degrees. However, the optimal hp-adaptive strategy is still unknown. This paper gives brief introduction into the problematic of hp-FEM and hp-adaptivity and emphasizes those parts that are not optimally solved yet.
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