Journal
JOURNAL OF SCIENTIFIC COMPUTING
Volume 82, Issue 1, Pages -Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-019-01102-1
Keywords
Superconvergence; Fourth order finite difference; Elliptic equations; Gauss-Lobatto points; Approximated coefficients
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Funding
- NSF [DMS-1522593]
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We prove that the superconvergence of C-0-Q(k) finite element method at the Gauss-Lobatto quadrature points still holds if variable coefficients in an elliptic problem are replaced by their piecewise Q(k) Lagrange interpolants at the Gauss-Lobatto points in each rectangular cell. In particular, a fourth order finite difference type scheme can be constructed using C-0-Q(2) finite element method with Q(2) approximated coefficients.
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