TY - EJOU AU - Kakuda, K. AU - Maeda, Y. TI - Finite element-based flow simulations using exponential weighting functions T2 - The International Conference on Computational \& Experimental Engineering and Sciences PY - 2010 VL - 14 IS - 1 SN - 1933-2815 AB - The applications of a finite element scheme to one-dimensional linear advection-diffusion equation, the incompressible Navier-Stokes equations, and compressible Euler system of equations are presented. The mesh-based scheme is the Petrov-Galerkin weak formulation with exponential weighting functions. Some numerical results demonstrate the workability and the validity of the present approach. KW - Finite element KW - Petrov-Galerkin method KW - exponential weighting functions KW - CFD DO - 10.3970/icces.2010.014.037