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Some explicit triangular finite element schemes for the Euler equations
Author(s) -
Angrand Françoise,
Dervieux Alain
Publication year - 1984
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650040804
Subject(s) - euler equations , conservation law , finite element method , mathematics , scheme (mathematics) , euler's formula , upwind scheme , backward euler method , mathematical analysis , engineering , structural engineering , discretization
Several explicit schemes are presented for triangular P 0 and P 1 finite elements . A first‐order accurate upwind P 0 scheme is compared to a FLIC type method. A second‐order accurate Richtmyer scheme is constructed. Applications are given for the Euler system of conservation laws in the 2‐dimensional case.