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Coupled Systems Mechanics
  Volume 9, Number 1, February 2020, pages 5-28

Finite volumes vs finite elements. There is a choice
Ismet DemirdZic

    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.
Key Words
    solid mechanics; finite volume method; finite element method; fluid-solid interaction
Ismet Demirdzic: Department of Mechanical Engineering, University of Sarajevo, Sarajevo, 71000, Bosnia and Herzegovina

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