Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations

A new class of implicit–explicit BDFk SAV schemes for general dissipative systems and their error analysis

(2022) Fukeng Huang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics

(2022) Ke Wu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Superconvergence of Characteristics Marker and Cell Scheme for the Navier--Stokes Equations on Nonuniform Grids

(2018) Xiaoli Li et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids

(2017) Hongxing Rui et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Stable discretization of magnetohydrodynamics in bounded domains

(2013) Jian-Guo Liu et al.   Communications in Mathematical Sciences

Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density

(2011) J.-L. Guermond et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions

(2009) Jian-Guo Liu et al.   CHINESE ANNALS OF MATHEMATICS SERIES B