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樓主: Melanin
11#
發(fā)表于 2025-3-23 13:15:06 | 只看該作者
Modeling Error,ny change in the underlying equation translates into a change of the stiffness matrix and its inverse. We apply a ‘direct‘ method to calculate the solution vector of the modified system. In this approach it is not the stiffness matrix which gets modified but the right-hand side. This allows to opera
12#
發(fā)表于 2025-3-23 14:40:31 | 只看該作者
https://doi.org/10.1007/978-3-322-89674-2ximates Green’s functions with nodal basis functions and that it uses these approximate Green’s functions to calculate the output the engineer sees on the screen. The nature of the Green’s functions, their intricacies and approximability, their relevance for modelling the mechanics in a problem are
13#
發(fā)表于 2025-3-23 20:20:01 | 只看該作者
14#
發(fā)表于 2025-3-23 23:22:39 | 只看該作者
https://doi.org/10.1007/978-3-322-89778-7 The special nature of the FE-solution allows to extend Betti’s Theorem (p.,u.) = (p.,u.) to the FE-solutions in the following sense (p.,u..,p.,u..) which establishes that the FE-solution is the scalar product of the approximate Green’s function G. and the original right-hand side p, namely u. = (G.
15#
發(fā)表于 2025-3-24 02:22:21 | 只看該作者
https://doi.org/10.1007/978-3-642-97416-8 the energy error in powers of the mesh-width h. In goal-oriented refinement where the focus is on minimizing the error in certain functionals the adaptive refinement is steered by two errors, the error in the primal, the original, problem and the error in the dual problem, the approximation of the
16#
發(fā)表于 2025-3-24 09:38:22 | 只看該作者
Objektorientierte Programmierungny change in the underlying equation translates into a change of the stiffness matrix and its inverse. We apply a ‘direct‘ method to calculate the solution vector of the modified system. In this approach it is not the stiffness matrix which gets modified but the right-hand side. This allows to opera
17#
發(fā)表于 2025-3-24 12:34:04 | 只看該作者
18#
發(fā)表于 2025-3-24 15:05:18 | 只看該作者
19#
發(fā)表于 2025-3-24 22:11:27 | 只看該作者
20#
發(fā)表于 2025-3-25 00:46:29 | 只看該作者
,Finite Elements and Green’s Functions,nel functions. Influence functions in FE-analysis take a nodal form, that is they are evaluated by summing over the nodes (scalar product of two nodal vectors g and f or u and j). The columns of the inverse stiffness matrix are the nodal values of the Green’s functions. Infinite stresses pose a prob
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