Analysis and approximations of Dirichlet boundary control of Stokes flows in the energy space
We study Dirichlet boundary control of Stokes flows in 2D polygonal domains. We consider
cost functionals with two different boundary control regularization terms: the L ^2(Γ)-norm …
cost functionals with two different boundary control regularization terms: the L ^2(Γ)-norm …
An MLMCE-HDG method for the convection diffusion equation with random diffusivity
M Li, X Luo - Computers & Mathematics with Applications, 2022 - Elsevier
In this paper, a multilevel Monte Carlo ensemble hybridizable discontinuous Galerkin
(MLMCE-HDG) method is proposed to solve the convection diffusion equation with random …
(MLMCE-HDG) method is proposed to solve the convection diffusion equation with random …
An interior maximum norm error estimate for the symmetric interior penalty method on planar polygonal domains
SC Brenner, LY Sung - Computational Methods in Applied …, 2023 - degruyter.com
An Interior Maximum Norm Error Estimate for the Symmetric Interior Penalty Method on
Planar Polygonal Domains Skip to content Should you have institutional access? Here's …
Planar Polygonal Domains Skip to content Should you have institutional access? Here's …
A multilevel Monte Carlo ensemble and hybridizable discontinuous Galerkin method for a stochastic parabolic problem
M Li, X Luo - Numerical Methods for Partial Differential …, 2023 - Wiley Online Library
abstract A second‐order, multilevel Monte Carlo ensemble, and hybridizable discontinuous
Galerkin (MLMCE‐HDG) method is proposed to solve the stochastic parabolic partial …
Galerkin (MLMCE‐HDG) method is proposed to solve the stochastic parabolic partial …
A Neumann interface optimal control problem with elliptic PDE constraints and its discretization and numerical analysis
Z Zhang, K Ito, Z Li - arXiv preprint arXiv:2309.09151, 2023 - arxiv.org
We study an optimal control problem governed by elliptic PDEs with interface, which the
control acts on the interface. Due to the jump of the coefficient across the interface and the …
control acts on the interface. Due to the jump of the coefficient across the interface and the …
Convergence analysis and cost estimate of an MLMC-HDG method for elliptic PDEs with random coefficients
M Li, X Luo - Mathematics, 2021 - mdpi.com
We considered an hybridizable discontinuous Galerkin (HDG) method for discrete elliptic
PDEs with random coefficients. By an approach of projection, we obtained the error analysis …
PDEs with random coefficients. By an approach of projection, we obtained the error analysis …
Sharp estimates of HDG methods for Poisson equation II: 3D
In [SIAM J. Numer. Anal., 59 (2), 720-745], we proved quasi-optimal $ L^\infty $ estimates
(up to logarithmic factors) for the solution of Poisson's equation by a hybridizable …
(up to logarithmic factors) for the solution of Poisson's equation by a hybridizable …
[PDF][PDF] W1,∞ AND L∞ ERROR ESTIMATES FOR AN IP-HDG METHOD FOR SECOND-ORDER ELLIPTIC PROBLEM WITH APPLICATION TO POINTWISE TRACKING …
H LENG, H CHEN - researchgate.net
We consider an interior penalty hybridized discontinuous Galerkin (IP-HDG) method for a
model of second-order elliptic problem on a convex polygonal or polyhedral domain. Our …
model of second-order elliptic problem on a convex polygonal or polyhedral domain. Our …
[PDF][PDF] A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019
NHF Beebe - 2024 - ctan.math.utah.edu
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Page 1
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Nelson …
A Bibliography of Publications in SIAM Journal on Numerical Analysis: 2010–2019 Nelson …