A multilevel local mesh refinement with the PCD Method

Autor: Ahmed Tahiri
Jazyk: English<br />Portuguese
Rok vydání: 2020
Předmět:
Zdroj: Boletim da Sociedade Paranaense de Matemática, Vol 39, Iss 1 (2020)
Druh dokumentu: article
ISSN: 0037-8712
2175-1188
DOI: 10.5269/bspm.40222
Popis: We propose in this contribution a successive local mesh refinement with the PCD method. The multilevel local refinement improves the accuracy and gives a better precision, locally and globally, with a lower computational costs particularly if the considered problem has an anomaly. Here we present how a successive local mesh refinement can be handled. We conclude by presenting numerical experiments to show the interest of a multilevel local mesh refinement for the 2D diffusion equation.
Databáze: Directory of Open Access Journals