4 papers
Fully discrete analysis of pressure-robust enriched Galerkin methods for the time-dependent Stokes equations
Seulip Lee, Lin Mu
This paper presents a fully discrete analysis of pressure-robust enriched Galerkin (EG) methods for the time-dependent Stokes equations. The spatial discretization employs a veloci…
A unified spatiotemporal formulation with physics-preserving structure for time-dependent convection-diffusion problems
James H. Adler, Xiaozhe Hu, Seulip Lee
We propose a unified four-dimensional (4D) spatiotemporal formulation for time-dependent convection-diffusion problems that preserves underlying physical structures. By treating ti…
A monotone finite element method for an elliptic distributed optimal control problem with a convection-dominated state equation
SeongHee Jeong, Seulip Lee, Sijing Liu
We propose and analyze a monotone finite element method for an elliptic distributed optimal control problem constrained by a convection-diffusion-reaction equation in the convectio…
A weak Galerkin method with preconditioning for constrained optimal control problems with general tracking
SeongHee Jeong, Seulip Lee, Kening Wang
This paper presents a weak Galerkin (-WG) method combined with an additive Schwarz preconditioner for solving optimal control problems (OCPs) governed by partial differe…