| Full text | |
| Author(s): |
Oliari, Victor B.
;
Bosing, Paulo Rafael
;
de Siqueira, Denise
;
Devloo, Philippe R. B.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Journal of Computational and Applied Mathematics; v. 441, p. 24-pg., 2023-11-21. |
| Abstract | |
This paper presents a new fully computable a posteriori error estimates for the primal hybrid finite element methods based on equilibrated flux and potential reconstructions. The reconstructed potential is obtained from a local L2 orthogonal projection of the numerical solution on a continuous function space over the mesh skeleton. The equilibrated flux is the solution of a local mixed problem with a Neumann boundary condition given by the Lagrange multipliers of the primal hybrid finite element solution. For that, a divergence-consistent finite element pair is used. The upper and lower bounds of the error estimator are proved, and numerical results illustrate the efficiency of the error indicators. (AU) | |
| FAPESP's process: | 17/15736-3 - Engineering Research Centre in Reservoir and Production Management |
| Grantee: | Denis José Schiozer |
| Support Opportunities: | Research Grants - Research Centers in Engineering Program |
| FAPESP's process: | 19/17186-6 - Error estimation for hybrid-H1 finite element approximations and comparaison between hybrid-H1 and H(div) approximations |
| Grantee: | Victor Bringhenti Oliari |
| Support Opportunities: | Scholarships in Brazil - Master |