Finite element approximation of vector fields given by curl and divergence
Neittaanmäki, P., Saranen, J. (1981) Finite element approximation of vector fields given by curl and divergence. Mathematical Methods in the Applied Sciences 3 (1), 328-335. 10.1002/mma.1670030124
Published inMathematical Methods in the Applied Sciences
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Instruction-based clinical eye-tracking study on the visual interpretation of divergence : how do students look at vector field plots? Klein, P.; Viiri, Jouni; Mozaffari, S.; Dengel, A.; Kuhn, J. (American Physical Society, 2018)Relating mathematical concepts to graphical representations is a challenging task for students. In this paper, we introduce two visual strategies to qualitatively interpret the divergence of graphical vector field ...
Křižek, Michal; Neittaanmäki, Pekka (Wiley, 1986)The space of divergence‐free vector functions with vanishing normal flux on the boundary is approximated by subspaces of finite elements having the same property. An easy way of generating basis functions in these subspaces ...
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Lasiecka, I.; Sokołowski, J.; Neittaanmäki, Pekka (Polish Academy of Sciences, Institute of Mathematics, 1990)A numerical method for solving the wave equation with nonhomogenuous, nonsmooth Dirichlet boundary condition is proposed. Convergence of the method is proved and some erràr estimates are derived [L-S-2]. The method ...
Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains Křížek, Michal; Neittaanmäki, Pekka (Československá akademie věd. Matematický ústav., 1984)The authors examine a finite element method for the numerical approximation of the solution to a div-rot system with mixed boundary conditions in bounded plane domains with piecewise smooth boundary. The solvability of the ...