Sciweavers

ADCM
2011

Approximation properties of the Generalized Finite Element Method

13 years 6 months ago
Approximation properties of the Generalized Finite Element Method
In this paper, we have obtained an approximation result in the Generalized Finite Element Method (GFEM) that reflects the global approximation property of the Partition of Unity (PU) as well as the approximability of the local approximation spaces. We have considered a GFEM, where the underlying PU functions reproduce polynomials of degree l. With the space of polynomials of degree k serving as the local approximation spaces of the GFEM, we have shown, in particular, that the energy norm of the GFEM approximation error of a smooth function is O(hl+k ). Estimates in the Wt p-norm have also been established. This result could not be obtained from the classical approximation result of GFEM, which does not reflect the global approximation property of the PU.
C. Anitescu, U. Banerjee
Added 12 May 2011
Updated 12 May 2011
Type Journal
Year 2011
Where ADCM
Authors C. Anitescu, U. Banerjee
Comments (0)