Cover Image

Convergence analysis of a balancing domain decomposition method for an elliptic optimal control problem with HDG discretizations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Liu, Sijing, Zhang, Jinjin
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A balancing domain decomposition by constraints preconditioner for a hybridizable discontinuous Galerkin discretization of an elliptic optimal control problem
by: Liu, Sijing, et al.
Published: (2025)

An optimal two-side Robin-Robin domain decomposition method for H(div)-elliptic problem
by: Xuyang, Na
Published: (2025)

A-posteriori-steered $p$-robust multigrid and domain decomposition methods with optimal step-sizes for mixed finite element discretizations of elliptic problems
by: Miraçi, Ani, et al.
Published: (2024)

An unfitted HDG discretization for a model problem in shape optimization
by: Henríquez, Esteban, et al.
Published: (2025)

Multigrid preconditioning for discontinuous Galerkin discretizations of an elliptic optimal control problem with a convection-dominated state equation
by: Liu, Sijing, et al.
Published: (2024)

Convergence analysis of novel discontinuous Galerkin methods for a convection dominated problem
by: Boyana, Satyajith Bommana, et al.
Published: (2024)

An unfitted HDG method for a distributed optimal convection-diffusion control problem
by: Henríquez, Esteban, et al.
Published: (2026)

Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems
by: Galkowski, Jeffrey, et al.
Published: (2024)

A monotone finite element method for an elliptic distributed optimal control problem with a convection-dominated state equation
by: Jeong, SeongHee, et al.
Published: (2025)

From PDEs constrained optimization to controllability problems via time domain decomposition
by: Cocquet, Pierre-Henri, et al.
Published: (2026)

Supercloseness of the HDG method on Shishkin mesh for a singularly perturbed convection diffusion problem in 2D
by: Ma, Xiaoqi, et al.
Published: (2024)

A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems
by: Burman, Erik, et al.
Published: (2024)

Convergent analysis of algebraic multigrid method with data-driven parameter learning for non-selfadjoint elliptic problems
by: Zhang, Juan, et al.
Published: (2024)

An overlapping domain decomposition method for parametric Stokes and Stokes-Darcy problems via proper generalized decomposition
by: Discacciati, Marco, et al.
Published: (2025)

A linear HDG scheme for the diffusion type Peterlin viscoelastic problem
by: Gou, Sibang, et al.
Published: (2025)

Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method
by: Burman, Erik, et al.
Published: (2024)

Two-scale neural networks for optimal control of linear convection-dominated equations
by: Liu, Sijing, et al.
Published: (2026)

A coupled HDG/DG method for porous media with conducting/sealing faults
by: Cesmelioglu, Aycil, et al.
Published: (2025)

Analysis of a Schwarz-Fourier domain decomposition method
by: Reusken, Arnold
Published: (2025)

Flow updates for domain decomposition of entropic optimal transport
by: Medina, Ismael, et al.
Published: (2024)

Error estimates of $hp$-finite element method for elliptic optimal control problems with robin boundary
by: Lin, Xingyuan, et al.
Published: (2026)

Optimally convergent HDG method for third-order Korteweg-de Vries type equations
by: Dong, Bo
Published: (2016)

Convergence of the adaptive finite element discretization based parallel orbital-updating method for eigenvalue problems
by: Dai, Xiaoying, et al.
Published: (2025)

Numerical analysis of a nonsmooth quasilinear elliptic control problem: II. Finite element discretization and error estimates
by: Clason, Christian, et al.
Published: (2023)

Robust globally divergence-free HDG finite element method for steady thermally coupled incompressible MHD flow
by: Zhang, Min, et al.
Published: (2024)

Convergence and error control of consistent PINNs for elliptic PDEs
by: Bonito, Andrea, et al.
Published: (2024)

Modal analysis of a domain decomposition method for Maxwell's equations in a waveguide
by: Dolean, Victorita, et al.
Published: (2025)

Stability and Convergence of HDG Schemes under Minimal Regularity
by: Jiang, Jiannan, et al.
Published: (2023)

Monotone discretization of elliptic problems with mixed derivatives on anisotropic meshes: a counterexample
by: Roos, Hans-Goerg
Published: (2019)

Convergence analysis of contrast source inversion type methods for acoustic inverse medium scattering problems
by: Hu, Qiao, et al.
Published: (2025)

An inexact semismooth Newton-Krylov method for semilinear elliptic optimal control problem
by: Chen, Shiqi, et al.
Published: (2025)

New time domain decomposition methods for parabolic optimal control problems II: Neumann-Neumann algorithms
by: Gander, Martin Jakob, et al.
Published: (2024)

Augmented Lagrangian preconditioners for fictitious domain formulations of elliptic interface problems
by: Benzi, Michele, et al.
Published: (2026)

A priori error estimates for stable generalized finite element discretization of parabolic interface optimal control problems
by: Zhang, Xindan, et al.
Published: (2025)

A posteriori error analysis of hybrid higher order methods for the elliptic obstacle problem
by: Porwal, Kamana, et al.
Published: (2024)

Adaptive Deep Fourier Residual method via overlapping domain decomposition
by: Taylor, Jamie M., et al.
Published: (2024)

Convergence analysis of a Petrov-Galerkin method for fractional wave problems with nonsmooth data
by: Luo, Hao, et al.
Published: (2019)

Computing Both Upper and Lower Eigenvalue Bounds by HDG Methods
by: Liang, Qigang, et al.
Published: (2024)

Analysis of the SORAS domain decomposition preconditioner for non-self-adjoint or indefinite problems
by: Bonazzoli, Marcella, et al.
Published: (2020)

Numerical solution of elliptic distributed optimal control problems with boundary value tracking
by: Langer, Ulrich, et al.
Published: (2025)