Well-Balanced Discretisation for the Compressible Stokes Problem by Gradient-Robustness

A low-degree strictly conservative finite element method for incompressible flows on general triangulations

“…have been widely studied and surveyed in [17,20,27,35]. This conservation is also connected to other key features, such as "viscosity-independent" features [39] and "gradient-robustness" features [30] for numerical schemes. There have been various successful examples using different technical approaches.…”

A low-degree strictly conservative finite element method for incompressible flows

“…Though, during the past decade, the conservative schemes have been recognized more clearly as pressure robustness and widely studied and surveyed in, e.g., [18,22,29,36]. This conservation is also related to other key features such as "viscosity-independent" [40] and "gradientrobustness" [31] for numerical schemes. There have been various successful examples along different technical approaches.…”

A lowest-degree strictly conservative finite element scheme for incompressible Stokes problem on general triangulations

“…Over the past decade, the conservative schemes have been recognized more clearly as pressure robustness and widely studied and surveyed in, e.g., [9,11,18,23]. This conservation is also connected to other key features like "viscosity-independent" [27], "gradient-robustness" [19], etc for numerical schemes. The importance of conservative schemes is also significant in, e.g., the nonlinear mechanics [4,5] and the magnetohydrodynamics [14][15][16].…”