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| Author(s): |
Gustavo Alcalá Batistela
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Civil, Arquitetura e Urbanismo |
| Defense date: | 2023-03-10 |
| Examining board members: |
Philippe Remy Bernard Devloo;
Gustavo Henrique Siqueira;
Paulo Rafael Bosing
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| Advisor: | Philippe Remy Bernard Devloo |
| Abstract | |
A posteriori error estimation for the multiscale hybrid-mixed finite element method for Darcy’s problems, MHM-H(div)-E'gama' , is presented. The MHM-H(div)-E'gama' adopts two-scale finite element spaces: refined discretizations are adopted inside polygonal subregions, and flux approximations are constrained over the mesh interfaces by a given coarse normal trace space. For stability, pressure and flux approximations are divergence compatible, satisfying De Rham’s diagram. The error estimation is based on potential reconstruction, which is a popular technique for this kind of analysis in the context of mixed methods. Numerical experiments are presented in order to illustrate the efficiency of the proposed methodology (AU) | |
| FAPESP's process: | 20/06301-6 - A posteriori error estimation and adaptivity for multiscale finite element approximations |
| Grantee: | Gustavo Alcalá Batistela |
| Support Opportunities: | Scholarships in Brazil - Master |