In: Tatra Mountains Mathematical Publications, vol. 75, no. 1
Marek Macák - Zuzana Minarechová - Róbert Čunderlík - Karol Mikula
Detaily:
Rok, strany: 2020, 63 - 80
Jazyk: eng
Kľúčové slová:
oblique derivative boundary value problem, finite element method.
Typ článku: Applied Mathematics
Typ dokumentu: Scientific paper
O článku:
In this paper, we propose a novel approach to approximate the solution of the Laplace equation with an oblique derivative boundary condition by the finite element method. We present and analyse diverse testing experiments to study its behaviour and convergence. Finally, the usefulness of this approach is demonstrated by using it to gravity field modelling, namely, to approximate the solution of a geodetic boundary value problem in Himalayas.
Ako citovať:
ISO 690:
Macák, M., Minarechová, Z., Čunderlík, R., Mikula, K. 2020. The finite element method as a tool to solve the oblique derivative boundary value problem in geodesy: Applied Mathematics ´19. In Tatra Mountains Mathematical Publications, vol. 75, no.1, pp. 63-80. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0005
APA:
Macák, M., Minarechová, Z., Čunderlík, R., Mikula, K. (2020). The finite element method as a tool to solve the oblique derivative boundary value problem in geodesy: Applied Mathematics ´19. Tatra Mountains Mathematical Publications, 75(1), 63-80. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0005
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 2. 4. 2020
Verejná licencia:
Licensed under the Creative Commons Attribution-NC-ND4.0 International Public License.