Simplicial Bernstein form and positivity certificates for solutions obtained in a stationary digital twin by Bernstein Bubnov-Galerkin method

Author:

Hamadneh Tareq1,Merker Jochen2,Schimmel Willi3,Schuldt Gregor2

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

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.

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