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hp-metody konečných prvků adaptivní v prostoru i v čase: Přehled metodologie
Šolín, P. ; Segeth, Karel ; Doležel, I.
We present a new class of self-adaptive higher-order finite element methods (hp-FEM) which are free of analytical error estimates and thus work equally well for virtually all PDE problems ranging from simple linear elliptic equations to complex time-dependent nonlinear multiphysics coupled problems. The methodology was used to solve various types of problems. In this paper we use a nonlinear combustion problem for illustration.

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