TY - JOUR
T1 - An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes
AU - Barrenechea, Gabriel R.
AU - Volker, John
AU - Knobloch, Petr
N1 - Electronic version of an article published as Barrenechea, G., Volker, J., & Knobloch, P. (2017). An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes. Mathematical models & methods in applied sciences, 27(3), 525-548. https://doi.org/10.1142/S0218202517500087 © [Copyright World Scientific Publishing Company]
PY - 2017/3/3
Y1 - 2017/3/3
N2 - This work is devoted to the proposal of a new flux limiter that makes the algebraic flux correction finite element scheme linearity and positivity preserving on general simplicial meshes. Minimal assumptions on the limiter are given in order to guarantee the validity of the discrete maximum principle, and then a precise definition of it is proposed and analyzed. Numerical results for convection–diffusion problems confirm the theory.
AB - This work is devoted to the proposal of a new flux limiter that makes the algebraic flux correction finite element scheme linearity and positivity preserving on general simplicial meshes. Minimal assumptions on the limiter are given in order to guarantee the validity of the discrete maximum principle, and then a precise definition of it is proposed and analyzed. Numerical results for convection–diffusion problems confirm the theory.
KW - finite element method
KW - convection–diffusion equation
KW - algebraic flux correction
KW - discrete maximum principle
KW - linearity preservation
U2 - 10.1142/S0218202517500087
DO - 10.1142/S0218202517500087
M3 - Article
SN - 0218-2025
VL - 27
SP - 525
EP - 548
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
IS - 3
ER -