TY - JOUR
T1 - Convergence of a residual based artificial viscosity finite element method
AU - Nazarov, Murtazo
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: This material is based upon work supported by the Swedish Research Council (VR), and the Swedish Foundation for Strategic Research (SSF) and by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2013/2
Y1 - 2013/2
N2 - We present a residual based artificial viscosity finite element method to solve conservation laws. The Galerkin approximation is stabilized by only residual based artificial viscosity, without any least-squares, SUPG, or streamline diffusion terms. We prove convergence of the method, applied to a scalar conservation law in two space dimensions, toward an unique entropy solution for implicit time stepping schemes. © 2012 Elsevier B.V. All rights reserved.
AB - We present a residual based artificial viscosity finite element method to solve conservation laws. The Galerkin approximation is stabilized by only residual based artificial viscosity, without any least-squares, SUPG, or streamline diffusion terms. We prove convergence of the method, applied to a scalar conservation law in two space dimensions, toward an unique entropy solution for implicit time stepping schemes. © 2012 Elsevier B.V. All rights reserved.
UR - http://hdl.handle.net/10754/597873
UR - https://linkinghub.elsevier.com/retrieve/pii/S0898122112006499
UR - http://www.scopus.com/inward/record.url?scp=84873196952&partnerID=8YFLogxK
U2 - 10.1016/j.camwa.2012.11.003
DO - 10.1016/j.camwa.2012.11.003
M3 - Article
SN - 0898-1221
VL - 65
SP - 616
EP - 626
JO - Computers & Mathematics with Applications
JF - Computers & Mathematics with Applications
IS - 4
ER -