Archivio Istituzionale della RicercaThe usual definition of scaled monomials found in polytopal finite elements literature leads to elemental matrices with an unnecessarily high condition number. A trivial but apparently overlooked rescaling significantly improves the situation. The extent of the improvement is demonstrated numerically.
An implementation detail about the scaling of monomial bases in polytopal finite element methods / Cicuttin, Matteo. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - 159:(2025), pp. 1-4. [10.1016/j.aml.2024.109281]
An implementation detail about the scaling of monomial bases in polytopal finite element methods
Cicuttin, Matteo
2025
Abstract
The usual definition of scaled monomials found in polytopal finite elements literature leads to elemental matrices with an unnecessarily high condition number. A trivial but apparently overlooked rescaling significantly improves the situation. The extent of the improvement is demonstrated numerically.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2992037