Temat: adaptivity - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Application of projection-based interpolation algorithm for non-stationary problem
Autorzy:: Woźniak, M.
Paszyński, M.
Tematy:: L-shape
h-adaptivity
parallel
L2 projection
non-stationary; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/305799.pdf Link otwiera się w nowym oknie
Opis:: In this paper, we present a solver for non-stationary problems using L 2 projec- tion and h -adaptations. The solver utilizes the Euler time integration scheme for time evolution mixed with projection-based interpolation techniques for solving the L 2 projection problem at every time step. The solver is tested on the model problem of a heat transfer in an L-shape domain. We show that our solver delivers linear computational cost at every time step.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: One-dimensional fully automatic h-adaptive isogeometric finite element method package
Autorzy:: Lipski, P.
Paszyński, M
Tematy:: finite element method
isogeometric analysis
parallel computing
h-adaptivity
B-splines; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/305563.pdf Link otwiera się w nowym oknie
Opis:: his paper deals with an adaptive finite element method originally developed by Prof. Leszek Demkowicz for hierarchical basis functions. In this paper, we investigate the extension of the adaptive algorithm for isogeometric analysis performed with B-spline basis functions. We restrict ourselves to h-adaptivity, since the polynomial order of approximation must be fixed in the isogeometric case. The classical variant of the adaptive FEM algorithm, as delivered by the group of Prof. Demkowicz, is based on a two-grid paradigm, with coarse and fine grids (the latter utilized as a reference solution). The problem is solved independently over a coarse mesh and a fine mesh. The fine-mesh solution is then utilized as a reference to estimate the relative error of the coarse-mesh solution and to decide which elements to refine. Prof. Demkowicz uses hierarchical basis functions, which (though locally providing Cp−1 continuity) ensure only C0 on the interfaces between elements. The CUDA C library described in this paper switches the basis to B-spline functions and proposes a one-dimensional isogeometric version of the h-adaptive FEM algorithm to achieve global Cp−1 continuity of the solution.
Dostawca treści:: Biblioteka Nauki

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