Coupled systems mechanics

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Finite volumes vs finite elements. There is a choice

  • Demirdzic, Ismet (Department of Mechanical Engineering, University of Sarajevo)
  • Received : 2019.12.18
  • Accepted : 2019.12.27
  • Published : 2020.02.25
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Abstract

Despite a widely-held belief that the finite element method is the method for the solution of solid mechanics problems, which has for 30 years dissuaded solid mechanics scientists from paying any attention to the finite volume method, it is argued that finite volume methods can be a viable alternative. It is shown that it is simple to understand and implement, strongly conservative, memory efficient, and directly applicable to nonlinear problems. A number of examples are presented and, when available, comparison with finite element methods is made, showing that finite volume methods can be not only equal to, but outperform finite element methods for many applications.

Keywords

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