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Theoretical Basis of the Finite Element Method

Yongtao Lyu ()
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Yongtao Lyu: Dalian University of Technology, Department of Engineering Mechanics

Chapter Chapter 2 in Finite Element Method, 2022, pp 19-44 from Springer

Abstract: Abstract In the field of engineering and technology science, the mathematical models and equations can be given for many mechanics problems. However, the scenarios where the analytic equations and the exact solutions can be found are occasional and normally only in the problems with simple geometries. For most engineering problems, because of the complicated geometries and the nonlinearity of the equations, only numerical solutions can be obtained. In this chapter, the theoretical basis of the finite element method is given.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-19-3363-9_2

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DOI: 10.1007/978-981-19-3363-9_2

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