Abstract
The Finite Element Method based on a Lagrangian description of the differential equation is mostly used to simulate the behavior of solids under loadings. With this scheme, a good approximation of the solution can be achieved, provided that the elements do not distort too much. However, this restriction limits the range of applications. To increase the flexibility of Galerkin methods, approaches are pursued which allow the determination of the test and trial function on an almost arbitrary distribution of nodes in the corresponding neighborhood.
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Weißenfels, C. (2022). Meshfree Galerkin Methods. In: Simulation of Additive Manufacturing using Meshfree Methods. Lecture Notes in Applied and Computational Mechanics, vol 97. Springer, Cham. https://doi.org/10.1007/978-3-030-87337-0_5
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