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Full-Text Articles in Physical Sciences and Mathematics
A New Global Divergence Free And Pressure-Robust Hdg Method For Tangential Boundary Control Of Stokes Equations, Gang Chen, Wei Gong, Mariano Mateos, John R. Singler, Yangwen Zhang
A New Global Divergence Free And Pressure-Robust Hdg Method For Tangential Boundary Control Of Stokes Equations, Gang Chen, Wei Gong, Mariano Mateos, John R. Singler, Yangwen Zhang
Mathematics and Statistics Faculty Research & Creative Works
In Gong et al. (2020), we proposed an HDG method to approximate the solution of a tangential boundary control problem for the Stokes equations and obtained an optimal convergence rate for the optimal control that reflects its global regularity. However, the error estimates depend on the pressure, and the velocity is not divergence free. The importance of pressure-robust numerical methods for fluids was addressed by John et al. (2017). In this work, we devise a new HDG method to approximate the solution of the Stokes tangential boundary control problem; the HDG method is also of independent interest for solving the …
A New Global Divergence Free And Pressure-Robust Hdg Method For Tangential Boundary Control Of Stokes Equations, Gang Chen, Wei Gong, Mariano Mateos, John R. Singler, Yangwen Zhang
A New Global Divergence Free And Pressure-Robust Hdg Method For Tangential Boundary Control Of Stokes Equations, Gang Chen, Wei Gong, Mariano Mateos, John R. Singler, Yangwen Zhang
Mathematics and Statistics Faculty Research & Creative Works
In Gong et al. (2020), we proposed an HDG method to approximate the solution of a tangential boundary control problem for the Stokes equations and obtained an optimal convergence rate for the optimal control that reflects its global regularity. However, the error estimates depend on the pressure, and the velocity is not divergence free. The importance of pressure-robust numerical methods for fluids was addressed by John et al. (2017). In this work, we devise a new HDG method to approximate the solution of the Stokes tangential boundary control problem; the HDG method is also of independent interest for solving the …