Abstract
In most problems of mathematical physics the true solutions are nonsmooth, i.e., they are not continuously differentiable. Thus, we cannot immediately apply a Galerkin approach. For example, in the equation of static mechanical equilibrium
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Notes
- 1.
Here \({{\varvec{f}}}\) are the body forces.
References
Oden, J. T. (1972). Finite elements of non-linear continua. New York: McGraw-Hill.
Wriggers, P. (2008). Nonlinear finite element analysis. Heidelberg: Springer.
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Zohdi, T.I. (2015). A Model Problem: 1-D Elastostatics. In: A Finite Element Primer for Beginners. SpringerBriefs in Applied Sciences and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-09036-8_2
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DOI: https://doi.org/10.1007/978-3-319-09036-8_2
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