Discrete maximum principle and positivity certificates for the Bernstein dual Petrov-Galerkin method

DOI10.1007/978-981-99-0447-1_16OpenAlexW4378695914MaRDI QIDQ6153755

Jochen Merker, Tareq Hamadneh, Gregor Schuldt

Publication date: 19 March 2024

Published in: Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-99-0447-1_16

zbMATH Keywords

discrete maximum principlenumerical analysispositivity certificatesBernstein dual Petrov-Galerkin method

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25)

Cites Work

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• Bernstein dual-Petrov-Galerkin method: application to 2D time fractional diffusion equation
• The dual basis functions for the Bernstein polynomials
• M-matrix characterizations. I: nonsingular M-matrices
• Elliptic partial differential equations of second order
• The B-spline basis in a space of algebraic polynomials
• Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation
• Failure of the discrete maximum principle for an elliptic finite element problem
• On a Discrete Maximum Principle

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