The AGE Galerkin method for solving two-point boundary value problems (Q1115119)

Finite element Galerkin methods are developed for spaces of piecewise polynomial functions which are most suitable for linear two-point boundary value problems. This basis functions yield linear systems in which the matrices are banded, actually block tridiagonal. The resulting linear systems are then solved by a block matrix iterative method which is an extension of the point alternating group explicit (AGE) method.