Cover Image

A discrete Saint-Venant principle for finite element discretizations of elliptic problems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Buchholz, Tim, Dörner, Julian
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis Primary 65N30, 65N22 Secondary 35J15, 65N55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A priori error estimates for finite element discretization of semilinear elliptic equations with non-Lipschitz nonlinearities
by: Vexler, Boris
Published: (2024)

Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence
by: Hauck, Moritz, et al.
Published: (2024)

Nonconforming virtual element method for the Monge-Ampère equation
by: Congreve, Scott, et al.
Published: (2026)

Preconditioning of a pollution-free discretization of the Helmholtz equation
by: Monsuur, Harald
Published: (2025)

Convergence of adaptive stochastic collocation with finite elements
by: Feischl, Michael, et al.
Published: (2020)

On discrete ground states of rotating Bose-Einstein condensates
by: Henning, Patrick, et al.
Published: (2023)

A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations
by: Buchholz, Tim, et al.
Published: (2025)

Neumann-Neumann type domain decomposition of elliptic problems on metric graphs
by: Kovács, Mihály, et al.
Published: (2024)

A comparative study of efficient multigrid solvers for high-order local discontinuous Galerkin methods: Poisson, elliptic interface, and multiphase Stokes problems
by: Saye, Robert I.
Published: (2024)

A parallel domain decomposition method for solving elliptic equations on manifolds
by: Qin, Lizhen, et al.
Published: (2024)

Minimum residual discretization of a semilinear elliptic problem
by: Vera, Carlos García, et al.
Published: (2026)

Unique continuation for an elliptic interface problem using unfitted isoparametric finite elements
by: Burman, Erik, et al.
Published: (2023)

A posteriori error estimates based on multilevel decompositions with large problems on the coarsest level
by: Vacek, Petr, et al.
Published: (2024)

Nonoverlapping domain decomposition preconditioners for discontinuous Galerkin approximations of Hamilton--Jacobi--Bellman equations
by: Smears, Iain
Published: (2014)

Efficient Weak Galerkin Finite Element Methods for Maxwell Equations on polyhedral Meshes without Convexity Constraints
by: Wang, Chunmei, et al.
Published: (2024)

Anisotropic Error Analysis of Weak Galerkin finite element method for Singularly Perturbed Biharmonic Problems
by: Raina, Aayushman, et al.
Published: (2024)

SFEM for the Lagrangian formulation of the surface Stokes problem
by: Elliott, Charles M., et al.
Published: (2024)

A neuron-wise subspace correction method for the finite neuron method
by: Park, Jongho, et al.
Published: (2022)

Mixed finite element approximation for non-divergence form elliptic equations with random input data
by: Mousavi, Amireh
Published: (2025)

Mixed finite element methods for elliptic obstacle problems
by: Führer, Thomas, et al.
Published: (2024)

Minimum-residual a posteriori error estimates for hybridizable discontinuous Galerkin discretizations of the Helmholtz equation
by: Camargo, Liliana, et al.
Published: (2023)

Optimality of adaptive $H(\operatorname{div}\operatorname{div})$ mixed finite element methods for the Kirchhoff-Love plate bending problem
by: Hu, Jun, et al.
Published: (2025)

A multiscale approach to the stationary Ginzburg-Landau equations of superconductivity
by: Döding, Christian, et al.
Published: (2024)

Finite element and box-method discretizations for fractional elliptic problems with quadrature and mass lumping
by: Almeida-Sousa, Kelvin J. R., et al.
Published: (2026)

An adaptive superconvergent finite element method based on local residual minimization
by: Muga, Ignacio, et al.
Published: (2022)

A preconditioner for the grad-div stabilized equal-order finite elements discretizations of the Oseen problem
by: He, Yunhui, et al.
Published: (2024)

A Fully Discrete Surface Finite Element Method for the Navier--Stokes equations on Evolving Surfaces with prescribed Normal Velocity
by: Elliott, Charles M., et al.
Published: (2025)

SFEM for the unsteady Navier-Stokes Equations on a stationary surface
by: Elliott, Charles M., et al.
Published: (2025)

Convergence analysis of GMRES applied to Helmholtz problems near resonances
by: Dolean, Victorita, et al.
Published: (2025)

Computational multiscale methods for nondivergence-form elliptic partial differential equations
by: Freese, Philip, et al.
Published: (2022)

Homogenization of nondivergence-form elliptic equations with discontinuous coefficients and finite element approximation of the homogenized problem
by: Sprekeler, Timo
Published: (2023)

Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and minimal regularity
by: Ern, Alexandre, et al.
Published: (2019)

Super-localized Orthogonal Decomposition for high-frequency Helmholtz problems
by: Freese, Philip, et al.
Published: (2021)

Stabilizer-free Weak Galerkin Methods for Quad-Curl Problems on polyhedral Meshes without Convexity Assumptions
by: Wang, Chunmei, et al.
Published: (2025)

A two-grid method with dispersion matching for finite-element Helmholtz problems
by: Stolk, Christiaan C.
Published: (2025)

Superclosenes error estimates for the div least-squares finite element method on elliptic problems
by: Chen, Gang, et al.
Published: (2024)

Quasi-optimality of the Crouzeix-Raviart FEM for p-Laplace-type problems
by: Storn, Johannes
Published: (2025)

Pressure robust finite element discretizations of the nonlinear Stokes equations
by: Diening, Lars, et al.
Published: (2025)

Adaptive and frugal BDDC coarse spaces for virtual element discretizations of a Stokes problem with heterogeneous viscosity
by: Bevilacqua, Tommaso, et al.
Published: (2024)

Multiscale Spectral Generalized Finite Element Methods for Discontinuous Galerkin Schemes
by: Alber, Christian, et al.
Published: (2025)