4 papers
Least-squares formulations for Stokes equations with non-standard boundary conditions -- A unified approach
Subhashree Mohapatra, N. Kishore Kumar, Shivangi Joshi
In this paper, we propose a unified non-conforming least-squares spectral element approach for solving Stokes equations with various non-standard boundary conditions. Existing leas…
Performance of nonconforming spectral element method for Stokes problems
N. Kishore Kumar, Shubhashree Mohapatra
In this paper, we study the performance of the non-conforming least-squares spectral element method for Stokes problem. Generalized Stokes problem has been considered and the metho…
Convergence rate for a Gauss collocation method applied to constrained optimal control
William W. Hager, Jun Liu, Subhashree Mohapatra +2
A local convergence rate is established for a Gauss orthogonal collocation method applied to optimal control problems with control constraints. If the Hamiltonian possesses a stron…
Convergence Rate for a Radau hp Collocation Method Applied to Constrained Optimal Control
William W. Hager, Hongyan Hou, Subhashree Mohapatra +1
For unconstrained control problems, a local convergence rate is established for an -method based on collocation at the Radau quadrature points in each mesh interval of the disc…