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.

Авторы
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
Сборник материалов конференции
EPJ Web of Conferences
Издательство
EDP Sciences
Язык
Английский
Статус
Опубликовано
DOI
10.1051/EPJCONF/201817303010
Номер
03010
Том
173
Год
2018
Организации
  • 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
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