Reconstructing algebraic functions from a nonconforming exponential weighted enriched finite element
Year: 2025
Type: article
Abstract: The reconstruction of functions is a fundamental task in various applications, ranging from computer graphics to remote sensing. This paper addresses the challenge of function reconstruction in scenarios where, instead of pointwise function evaluations, only a set of integrals over specific lines is available. We propose a novel method based on a one-parameter family of weighted finite elements that incorporates exponential Hermite weight functions within bounded domains. Numerical experiments demonstrate that the proposed approach significantly improves computational efficiency and accuracy in function reconstruction compared to the classical Crouzeix–Raviart finite element.
Institutions: Istituto per le Applicazioni del Calcolo Mauro Picone, National Research Council, University of Calabria, Centre National de la Recherche Scientifique, Université de Pau et des Pays de l'Adour, Laboratoire de Mathématiques et de leurs Applications, Serbian Academy of Sciences and Arts, University of Nis, University of Padua
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,250
Award: G736243959
OpenAlex ID: W4408050512