Convergence studies of least‐squares finite elements for first‐order systems
- 1 October 1989
- journal article
- research article
- Published by Wiley in Communications in Applied Numerical Methods
- Vol. 5 (7), 427-434
- https://doi.org/10.1002/cnm.1630050702
Abstract
A least‐squares finite element method for first‐order systems describing two‐point boundary‐value problems is constructed. Comparison studies are made with the corresponding mixed Galerkin formulation for the same system. Numerical experiments on representative test problems reveal that the least‐squares method has superior convergence behaviour to the mixed method. Some superconvergence properties of the least‐squares method are identified.This publication has 3 references indexed in Scilit:
- Least‐squares finite elements for first‐order hyperbolic systemsInternational Journal for Numerical Methods in Engineering, 1988
- A Unified Theory of Superconvergence for Galerkin Methods for Two-Point Boundary ProblemsSIAM Journal on Numerical Analysis, 1976
- On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliersRevue française d'automatique, informatique, recherche opérationnelle. Analyse numérique, 1974