## Nodeless Finite Element Method For 2d Potential Flow Problems, Thammasat In

- L. Wiroj
- J. Tech.,
- 2005

- 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

@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}
}