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
Follow OGFEM1d
You Might Also Like
Boost application security and continuity with SKUDONET ADC, our Open Source Load Balancer, that maximizes IT infrastructure flexibility. Additionally, save up to $470 K per incident with AI and SKUDONET solutions, further enhancing your organization’s risk management and cost-efficiency strategies.