..., the Groebner basis procedure represents a promising way to enhance the utility of the Galerkin method for nonlinear problems by facilitating the solution of the resulting polynomial equations. The MAPLE Groebner basis module was used to uncouple Eqs. (17) and (18) into one twenty-fifth order polynomial...

... ). This system is treated using Galerkin’s method and the modal superposition principle for both the elastic and the bending vibrations. Assuming small lateral deflections and elastic deformations, the Lagrangian coordinate s can be replaced by the vertical coordinate z (Fig. 1...

... Interactions Slender Structures and Axial Flow, Academic Press, San Diego, Vol. 1 ). Random vibration analysis is carried out by the Galerkin method selecting as basis functions the natural modes of a beam with the same boundary conditions as the pipeline. The discretized equations of motion are used...

... Alamos Scientific Laboratory , Los Alamos, NM. Douglas , J. , and Dupont , J. , 1976 , Interior Penalty Procedures for Elliptic and Parabolic Galerkin Methods , Lecture Notes in Physics 58 , Springer-Verlag , Berlin . Wheeler , M. F. , 1978 , “ An Elliptic Collocation...

... received August 20, 1999. Associate Technical Editor: S. Calisal. 05 07 1998 08 01 1999 water waves surface waves (fluid) Galerkin method integral equations scattering The problems of surface water wave scattering by an obstacle...