High-Accuracy Finite Element Method: Benchmark Calculations

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. © 2018 The Authors, published by EDP Sciences.

Authors
Gusev A.1 , Vinitsky S. 1, 2 , Chuluunbaatar O. 1, 3 , Chuluunbaatar G. 1 , Gerdt V. 1 , Derbov V.4 , Góźdź A.5 , Krassovitskiy P.6
Conference proceedings
Publisher
EDP Sciences
Language
English
Status
Published
Number
03010
Volume
173
Year
2018
Organizations
  • 1 Joint Institute for Nuclear Research, Dubna, Russian Federation
  • 2 RUDN University, 6 Miklukho-Maklaya st, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia
  • 4 N.G. Chernyshevsky Saratov National Research State University, Saratov, Russian Federation
  • 5 Institute of Physics, University of M. Curie-Skłodowska, Lublin, Poland
  • 6 Institute of Nuclear Physics, Almaty, Kazakhstan
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6853/