Li-Zhen CHEN
Beijing Computational Science Research Center
Abstract: A spectral-element method based on the Legendre-Galerkin approximation is presented to solve the one-dimensional fourth-order equations. Rigorous error analysis is carried out to establish the convergence of the method. By constructing appropriate basis functions that satisfy the boundary conditions of the differential equations, the discrete variational formulation is reduced to linear system with sparse matrices, which can be efficiently solved. Two-dimensional fourth-order equations are also considered. Several numerical examples are provided to confirm the theoretical results.
Location: 606 Conference Room
Date and time: Jan 6, 2012   14:30