A monotone finite element method for an elliptic distributed optimal control problem with a convection-dominated state equation
Fuente:
arXiv
Saved in:
| Main Authors: | Jeong, SeongHee, Lee, Seulip, Liu, Sijing |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A $C^0$ weak Galerkin method with preconditioning for constrained optimal control problems with general tracking
by: Jeong, SeongHee, et al.
Published: (2025)
by: Jeong, SeongHee, 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)
by: Liu, Sijing, et al.
Published: (2024)
Edge-averaged virtual element methods for convection-diffusion and convection-dominated problems
by: Cao, Shuhao, et al.
Published: (2024)
by: Cao, Shuhao, et al.
Published: (2024)
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)
by: Liu, Sijing, et al.
Published: (2025)
A monotone $Q^1$ finite element method for anisotropic elliptic equations
by: Li, Hao, et al.
Published: (2023)
by: Li, Hao, et al.
Published: (2023)
A low-cost, parameter-free, and pressure-robust enriched Galerkin method for the Stokes equations
by: Lee, Seulip, et al.
Published: (2022)
by: Lee, Seulip, et al.
Published: (2022)
Adaptive Computation of Elliptic Eigenvalue Topology Optimization with a Phase-Field Approach
by: Li, Jing, et al.
Published: (2023)
by: Li, Jing, et al.
Published: (2023)
Robust hybrid finite element methods for reaction-dominated diffusion problems
by: Führer, Thomas, et al.
Published: (2024)
by: Führer, Thomas, et al.
Published: (2024)
Quasi-optimal polytopal finite element methods for biharmonic equation
by: Tran, Ngoc Tien
Published: (2026)
by: Tran, Ngoc Tien
Published: (2026)
Mixed finite element methods for elliptic obstacle problems
by: Führer, Thomas, et al.
Published: (2024)
by: Führer, Thomas, et al.
Published: (2024)
A space-time finite element method for parabolic obstacle problems
by: Carvajal, José Joaquín, et al.
Published: (2025)
by: Carvajal, José Joaquín, et al.
Published: (2025)
A~posteriori error analysis for optimization with PDE constraints
by: Gaspoz, Fernando, et al.
Published: (2025)
by: Gaspoz, Fernando, et al.
Published: (2025)
Guaranteed inf-sup bounds and existence verification for semilinear elliptic problems via nonconforming finite elements
by: Gräßle, Benedikt
Published: (2026)
by: Gräßle, Benedikt
Published: (2026)
A stabilized nonconforming finite element method for the surface biharmonic problem
by: Wu, Shuonan, et al.
Published: (2024)
by: Wu, Shuonan, et al.
Published: (2024)
A discontinuous Galerkin method for elliptic-hyperbolic equations
by: Perinati, Chiara, et al.
Published: (2026)
by: Perinati, Chiara, et al.
Published: (2026)
A Taylor-Hood finite element method for the surface Stokes problem without penalization
by: Demlow, Alan, et al.
Published: (2025)
by: Demlow, Alan, et al.
Published: (2025)
Divergence conforming DG method for the optimal control of the Oseen equation with variable viscosity
by: Singh, Harpal, et al.
Published: (2024)
by: Singh, Harpal, et al.
Published: (2024)
A construction of canonical nonconforming finite element spaces for elliptic equations of any order in any dimension
by: Li, Jia, et al.
Published: (2024)
by: Li, Jia, et al.
Published: (2024)
A boundary-corrected weak Galerkin mixed finite method for elliptic interface problems with curved interfaces
by: Hou, Yongli, et al.
Published: (2025)
by: Hou, Yongli, et al.
Published: (2025)
An unfitted HDG discretization for a model problem in shape optimization
by: Henríquez, Esteban, et al.
Published: (2025)
by: Henríquez, Esteban, et al.
Published: (2025)
Error estimates for the patch bubble method for convection-dominated channel flow problem
by: Bänsch, Eberhard, et al.
Published: (2026)
by: Bänsch, Eberhard, et al.
Published: (2026)
Novel superconvergence and ultraconvergence structures for the finite volume element method
by: Wang, Xiang, et al.
Published: (2025)
by: Wang, Xiang, et al.
Published: (2025)
A post-processed higher-order multiscale method for nondivergence-form elliptic equations
by: Hauck, Moritz, et al.
Published: (2026)
by: Hauck, Moritz, et al.
Published: (2026)
Stabilization-free virtual element methods based on finite element interpolation
by: Zhao, Jikun, et al.
Published: (2026)
by: Zhao, Jikun, et al.
Published: (2026)
Optimal convergence rates of an adaptive finite element method for unbounded domains
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)
Global convergence of adaptive least-squares finite element methods for nonlinear PDEs
by: Bringmann, Philipp, et al.
Published: (2025)
by: Bringmann, Philipp, et al.
Published: (2025)
An adaptive superconvergent finite element method based on local residual minimization
by: Muga, Ignacio, et al.
Published: (2022)
by: Muga, Ignacio, et al.
Published: (2022)
Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces
by: Reusken, Arnold, et al.
Published: (2024)
by: Reusken, Arnold, et al.
Published: (2024)
A low-order locking-free multiscale finite element method for isotropic elasticity
by: Gomes, Antônio Tadeu Azevedo, et al.
Published: (2024)
by: Gomes, Antônio Tadeu Azevedo, et al.
Published: (2024)
Dirichlet control problems with energy regularization governed by non-coercive elliptic equations
by: Apel, Thomas, et al.
Published: (2026)
by: Apel, Thomas, et al.
Published: (2026)
An adaptive perfectly matched layer finite element method for acoustic-elastic interaction in periodic structures
by: Li, Sijia, et al.
Published: (2026)
by: Li, Sijia, et al.
Published: (2026)
$hp$-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes
by: Dong, Zhaonan, et al.
Published: (2023)
by: Dong, Zhaonan, et al.
Published: (2023)
Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound
by: Gallistl, Dietmar, et al.
Published: (2024)
by: Gallistl, Dietmar, et al.
Published: (2024)
Decoupled finite element methods for a fourth-order exterior differential equation
by: Cui, Xuewei, et al.
Published: (2024)
by: Cui, Xuewei, et al.
Published: (2024)
Trace-Preserving hp Interpolation and Polynomial Liftings on Conforming Hexahedral Meshes
by: Li, Situan, et al.
Published: (2026)
by: Li, Situan, et al.
Published: (2026)
Quasi-Optimality of AFEM for Distributed Optimal Control Problems of Stokes Equations: An Axiomatic Framework
by: Shaikh, Tooba M., et al.
Published: (2023)
by: Shaikh, Tooba M., et al.
Published: (2023)
Unique continuation for an elliptic interface problem using unfitted isoparametric finite elements
by: Burman, Erik, et al.
Published: (2023)
by: Burman, Erik, et al.
Published: (2023)
On inf-sup stability and optimal convergence of the quasi-reversibility method for unique continuation subject to Poisson's equation
by: Burman, Erik, et al.
Published: (2024)
by: Burman, Erik, et al.
Published: (2024)
Quasi-optimal complexity of iterative Galerkin methods driven by an elliptic reconstruction error estimator
by: Brunner, Maximilian, et al.
Published: (2026)
by: Brunner, Maximilian, et al.
Published: (2026)
Adaptive finite element method for an unregularized semilinear optimal control problem
by: Fuica, Francisco, et al.
Published: (2025)
by: Fuica, Francisco, et al.
Published: (2025)
Similar Items
-
A $C^0$ weak Galerkin method with preconditioning for constrained optimal control problems with general tracking
by: Jeong, SeongHee, 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) -
Edge-averaged virtual element methods for convection-diffusion and convection-dominated problems
by: Cao, Shuhao, et al.
Published: (2024) -
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) -
A monotone $Q^1$ finite element method for anisotropic elliptic equations
by: Li, Hao, et al.
Published: (2023)