High-Accuracy Finite Element Method: Benchmark Calculations
1 Joint Institute for Nuclear Research, Dubna, Russia
2 RUDN University, Moscow, Russia, 6 Miklukho-Maklaya st, Moscow, 117198
3 Institute of Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia
4 N.G. Chernyshevsky Saratov National Research State University, Saratov, Russia
5 Institute of Physics, University of M. Curie-Skłodowska, Lublin, Poland
6 Institute of Nuclear Physics, Almaty, Kazakhstan
Published online: 14 February 2018
We describe a new high-accuracy finite element scheme with simplex elements for solving the elliptic boundary-value problems and show its efficiency on benchmark solutions of the Helmholtz equation for the triangle membrane and hypercube.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).