Abstract
We show that the famous maximum angle condition in the finite element analysis is not necessary to achieve the optimal convergence rate when simplicial finite elements are used to solve elliptic problems. This condition is only sufficient. In fact, finite element approximations may converge even though some dihedral angles of simplicial elements tend to π.
Original language | English |
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Pages (from-to) | 79-88 |
Number of pages | 10 |
Journal | Numerische Mathematik |
Volume | 120 |
Issue number | 1-6 |
DOIs | |
Publication status | Published - Jan 2012 |
MoE publication type | A1 Journal article-refereed |