1 citations · 1 across the 9 of their papers we have counts for
10 papers
A new reduced order model of imcompressible Stokes equations
Yangwen Zhang
In this paper we propose a new reduced order model (ROM) to the imcompressible Stokes equations. Numerical experiments show that our ROM is accurate and efficient. Under some assum…
A new reduced order model of linear parabolic PDEs
Noel Walkington, Franziska Weber, Yangwen Zhang
How to build an accurate reduced order model (ROM) for multidimensional time dependent partial differential equations (PDEs) is quite open. In this paper, we propose a new ROM for…
Sharp estimates of HDG methods for Poisson equation II: 3D
Gang Chen, Peter Monk, Yangwen Zhang
In [SIAM J. Numer. Anal., 59 (2), 720-745], we proved quasi-optimal estimates (up to logarithmic factors) for the solution of Poisson's equation by a hybridizable discon…
Inverse Boundary Value Problems for Wave Equations with Quadratic Nonlinearities
Gunther Uhlmann, Yang Zhang
We study inverse problems for the nonlinear wave equation in a Lorentzian manifold with boundary, where denotes the grad…
Analysis and approximations of Dirichlet boundary control of Stokes flows in the energy space
W. Gong, M. Mateos, J. Singler +1
We study Dirichlet boundary control of Stokes flows in 2D polygonal domains. We consider cost functionals with two different boundary control regularization terms: the norm a…
Superconvergent Interpolatory HDG methods for reaction diffusion equations II: HHO-inspired methods
Gang Chen, Bernardo Cockburn, John R Singler +1
In J. Sci. Comput., 81: 2188-2212, 2019, we considered a superconvergent hybridizable discontinuous Galerkin (HDG) method, defined on simplicial meshes, for scalar reaction diffusi…