H (div) approximations based on hp-adaptive curved meshes using quarter point elements

Autores

  • Denise de Siqueira
  • Agnaldo Farias
  • Philippe Devloo
  • Sônia Gomes

DOI:

https://doi.org/10.5540/03.2017.005.01.0314

Palavras-chave:

H(div) finite element space, hp adaptivity, curves elements.

Resumo

H(div)-conforming finite element subspaces based on curved quadrilateral meshes, with hp-adaptation, are constructed to be applied in flux approximations of the mixed element formulation. In order to validate the implementation, a test problem with square-root singularity at a boundary point is simulated. The results demonstrate exponential rates of convergence, and a dramatic error reduction when quarter-point elements are applied close to the singularity. Using static condensation, the global condensed matrices to be solved have reduced dimension, which is proportional to the dimension of border fluxes.

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Publicado

2017-04-14

Edição

Seção

Trabalhos Completos - Métodos Numéricos e Aplicações