Abstract
Meshless methods are the subject of increasing interest nowadays. As such considered is here the adaptive finite difference method generalized for arbitrary irregular grids (GFDM). This is an integrated approach including original concepts of a’posteriori error analysis, solution smoothing mesh generation and modification as well as special emphasis posed on multigrid solution approach. Although the GFDM itself has been a well established method for years [15], its fully adaptive formulation has only recently been proposed and outlined [17,18,20]. The method is designed as a general and powerful tool of analysis of large and very large discrete boundary-value problems. A fully adaptive GFDM multigrid solution approach is outlined here. Presented are new concepts of prolongation, restriction and solution procedure.
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Orkisz, J., Lezanski, P., Przybylski, P. (1999). Multigrid Approach to Adaptive Analysis of B. V. Problems by The Meshless GFDM. In: Mang, H.A., Rammerstorfer, F.G. (eds) IUTAM Symposium on Discretization Methods in Structural Mechanics. Solid Mechanics and its Applications, vol 68. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4589-3_20
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DOI: https://doi.org/10.1007/978-94-011-4589-3_20
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