5 papers
Fine properties of functions in complex Sobolev spaces
Ngoc Cuong Nguyen
We study comprehensively local properties of functions in complex Sobolev spaces on a bounded open subset of . The main tool is the corresponding functional capacity…
Preconditioning Techniques for Hybridizable Discontinuous Galerkin Discretizations on GPU Architectures
Andrew Welter, Ngoc Cuong Nguyen
We present scalable iterative solvers and preconditioning strategies for Hybridizable Discontinuous Galerkin (HDG) discretizations of partial differential equations (PDEs) on graph…
Generative Reduced Basis Method
Ngoc Cuong Nguyen
We present a generative reduced basis (RB) approach to construct reduced order models for parametrized partial differential equations. Central to this approach is the construction…
High-order empirical interpolation methods for real time solution of parametrized nonlinear PDEs
Ngoc Cuong Nguyen
We present novel model reduction methods for rapid solution of parametrized nonlinear partial differential equations (PDEs) in real-time or many-query contexts. Our approach combin…
First-order empirical interpolation method for real-time solution of parametric time-dependent nonlinear PDEs
Ngoc Cuong Nguyen
We present a model reduction approach for the real-time solution of time-dependent nonlinear partial differential equations (PDEs) with parametric dependencies. The approach integr…