Numerical Simulation of Potential Flow using the Finite Element Method

  • Cynthia Vanessa Flores CSUN, Gilberto Pereira Sassi ICMC-USP, Leonardo Koller SachtUFSC, Paulo Liboni
  • Published 2007


It is easy to verify that the exact analytical solution to (1) is u(x) = x − ( sinhx sinh 1 ) . We can use the Finite Element Method to produce an approximation of the solution by forming a variational statement to the classical boundary value problem. One way to produce a weaker variational statement is to choose a set of test and trial functions, H 0 . This set consists of functions that vanish at the boundaries and whose first derivatives are square-integrable. Hence, the variational statement takes the following form: ∫ 1

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@inproceedings{CSUN2007NumericalSO, title={Numerical Simulation of Potential Flow using the Finite Element Method}, author={Cynthia Vanessa Flores CSUN and Gilberto Pereira Sassi ICMC-USP and Leonardo Koller SachtUFSC and Paulo Liboni}, year={2007} }