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Estimação de erro a posteriori para o método dos elementos finitos híbrido-misto multiescala

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Author(s):
Gustavo Alcalá Batistela
Total Authors: 1
Document type: Master's Dissertation
Press: Campinas, SP.
Institution: Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Civil, Arquitetura e Urbanismo
Defense date:
Examining board members:
Philippe Remy Bernard Devloo; Gustavo Henrique Siqueira; Paulo Rafael Bosing
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