OGFEM1d

We apply the Orthonormalized Generalized Finite Element Method (OGFEM) to the one-dimensional inhomogeneous modified Helmholtz equation and compare its performance with the traditional Finite Element Method (FEM).

The OGFEM avoids loss of accuracy by modifying the basis such that it results in a system matrix with a condition number which is significantly lower in comparison with the condition numbers obtained by the GFEM/XFEM or SGFEM/SXFEM. Consequently, enriched basis functions can be employed to improve the rate at which the approximation converges to the exact solution. Equivalently, the computational efficiency is improved.

Websites authors:
Adriaan Sillem