Superconvergent Recovery of the Gradient from Piecewise Linear Finite-element Approximations
- 1 October 1985
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis
- Vol. 5 (4) , 407-427
- https://doi.org/10.1093/imanum/5.4.407
Abstract
We propose and justify the use of a simple scheme which recovers gradients from the piecewise linear finite-element approximation on triangular elements to the solution of a second-order elliptic problem. The recovered gradient is a superconvergent estimate of the true gradient at the midpoints of element edges. A related scheme recovers the gradient at the element centroids.Keywords
This publication has 0 references indexed in Scilit: