Simplicial Bernstein form and positivity certificates for solutions obtained in a stationary digital twin by Bernstein Bubnov-Galerkin method
Author:
Affiliation:
1. Al Zaytoonah University of Jordan, Jordan
2. Leipzig University of Applied Sciences, Germany
3. University of Leipzig, Germany
Funder
European Social Fund
Saxonian State Ministry for Higher Education, Research and the Arts
Publisher
ACM
Link
https://dl.acm.org/doi/pdf/10.1145/3545839.3545846
Reference14 articles.
1. Singular Integral Neumann Boundary Conditions for Semilinear Elliptic PDEs;Agarwal Praveen;Axioms,2021
2. Philippe G. Ciarlet . 1970. Discrete maximum principle for finite-difference operators. Aequationes mathematicae 4 ( 1970 ), 266–268. Philippe G. Ciarlet. 1970. Discrete maximum principle for finite-difference operators. Aequationes mathematicae 4 (1970), 266–268.
3. Andrei Drǎgǎnescu Todd Dupont and L.R. Scott. 2005. Failure of the discrete maximum principle for an elliptic finite element problem. Mathematics of computation 74 (2005) 1–23. Andrei Drǎgǎnescu Todd Dupont and L.R. Scott. 2005. Failure of the discrete maximum principle for an elliptic finite element problem. Mathematics of computation 74 (2005) 1–23.
4. D. Gilbarg and N. Trudinger. 2001. Elliptic partial differential equations of second order (2nd. ed.). Springer New York NY. D. Gilbarg and N. Trudinger. 2001. Elliptic partial differential equations of second order (2nd. ed.). Springer New York NY.
5. Tareq Hamadneh , Jochen Merker , and Gregor Schuldt . 2022 . Discrete Maximum Principle and Positivity Certificates for the Bernstein dual Petrov-Galerkin method . In The 7th International Arab Conference on Mathematics and Computations (IACMC 2022). to be published by Springer Proceedings in Mathematics & Statistics, Zarqa, Jordan. Tareq Hamadneh, Jochen Merker, and Gregor Schuldt. 2022. Discrete Maximum Principle and Positivity Certificates for the Bernstein dual Petrov-Galerkin method. In The 7th International Arab Conference on Mathematics and Computations (IACMC 2022). to be published by Springer Proceedings in Mathematics & Statistics, Zarqa, Jordan.
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. An Improved Material Point Method with Aggregated and Smoothed Bernstein Functions;Mathematics;2023-02-10
2. Discrete Maximum Principle and Positivity Certificates for the Bernstein Dual Petrov–Galerkin Method;Mathematics and Computation;2023
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