Cover Image

Quasi-optimal complexity of iterative Galerkin methods driven by an elliptic reconstruction error estimator

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Brunner, Maximilian, Gantner, Gregor, Lietz, Christoph, Praetorius, Dirk
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis 65N30, 65N50, 65N15, 65Y20, 41A25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Newton's method in adaptive iteratively linearized FEM
by: Bringmann, Philipp, et al.
Published: (2025)

Unconditional full linear convergence and quasi-optimal complexity of smoothed adaptive finite element methods
by: Bringmann, Philipp, et al.
Published: (2026)

Multigoal-oriented adaptive finite element method with convergence rates
by: Becker, Roland, et al.
Published: (2026)

On full linear convergence and optimal complexity of adaptive FEM with inexact solver
by: Bringmann, Philipp, et al.
Published: (2023)

Iterative solvers in adaptive FEM
by: Bringmann, Philipp, et al.
Published: (2024)

Convergence of adaptive boundary element methods driven by functional a posteriori error estimates
by: Freiszlinger, Alexander, et al.
Published: (2025)

New a posteriori error estimates for full-space transmission problems
by: Freiszlinger, Alexander, et al.
Published: (2026)

On $p$-robust convergence and optimality of adaptive FEM driven by equilibrated-flux estimators
by: Chaumont-Frelet, Théophile, et al.
Published: (2026)

Global convergence of adaptive least-squares finite element methods for nonlinear PDEs
by: Bringmann, Philipp, et al.
Published: (2025)

Generalized preconditioned conjugate gradients for adaptive FEM with optimal complexity
by: Hilbert, Paula, et al.
Published: (2026)

Optimal convergence rates of an adaptive finite element method for unbounded domains
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)

Adaptive finite element methods with optimally preconditioned GMRES guarantee optimal complexity
by: Führer, Thomas, et al.
Published: (2026)

Goal-oriented adaptivity for multilevel stochastic Galerkin FEM with nonlinear goal functionals
by: Bespalov, Alex, et al.
Published: (2022)

Adaptive boundary element methods for regularized combined field integral equations
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)

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

On the convergence of adaptive Galerkin FEM for parametric PDEs with lognormal coefficients
by: Eigel, Martin, et al.
Published: (2023)

Scaling-robust built-in a posteriori error estimation for discontinuous least-squares finite element methods
by: Bringmann, Philipp
Published: (2023)

A posteriori error analysis of the virtual element method for second-order quasilinear elliptic PDEs
by: Congreve, Scott, et al.
Published: (2024)

Adaptive refinement in defeaturing problems via an equilibrated flux a posteriori error estimator
by: Buffa, Annalisa, et al.
Published: (2025)

Multigrid with Linear Storage Complexity
by: Bauer, Daniel, et al.
Published: (2025)

A generalized Hessian-based error estimator for an IPDG formulation of the biharmonic problem in two dimensions
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)

$hp$-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes
by: Dong, Zhaonan, et al.
Published: (2023)

An adaptive mesh refinement strategy to ensure quasi-optimality of finite element methods for self-adjoint Helmholtz problems
by: van Beeck, Tim, et al.
Published: (2024)

Analysis of injection operators in multigrid solvers for hybridized discontinuous Galerkin methods
by: Lu, Peipei, et al.
Published: (2021)

Local discontinuous Galerkin FEM for convex minimization
by: Carstensen, Carsten, et al.
Published: (2026)

Guaranteed inf-sup bounds and existence verification for semilinear elliptic problems via nonconforming finite elements
by: Gräßle, Benedikt
Published: (2026)

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

Superconvergent postprocessing of $C^0$ interior penalty method
by: Cai, Ying, et al.
Published: (2024)

Optimal error estimates for a discontinuous Galerkin method on curved boundaries with polygonal meshes
by: Araújo, Adérito, et al.
Published: (2026)

Adaptive Mesh Refinement for arbitrary initial Triangulations
by: Diening, Lars, et al.
Published: (2023)

Convergence Analysis of Adaptive Finite Element Algorithms for a Regularized Variational Model of Quasi-Static Brittle Fracture in "Strain-Limiting" Elastic Solids
by: Manohar, Ram, et al.
Published: (2025)

Error estimates for the interpolation and approximation of gradients and vector fields on protected Delaunay meshes in $\mathbb{R}^d$
by: Williams, David M., et al.
Published: (2025)

An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation, Part II. Piecewise-smooth interfaces
by: Chen, Zhiming, et al.
Published: (2024)

FEALPy: A Cross-platform Intelligent Numerical Simulation Engine
by: Zheng, Yangyang, et al.
Published: (2025)

Stabilization-free HHO a posteriori error control
by: Bertrand, Fleurianne, et al.
Published: (2022)

Adaptive Computation of Elliptic Eigenvalue Topology Optimization with a Phase-Field Approach
by: Li, Jing, et al.
Published: (2023)

Discontinuous Galerkin approximation for a Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
by: Lepe, Felipe, et al.
Published: (2025)

Robust Variational Physics-Informed Neural Networks
by: Rojas, Sergio, et al.
Published: (2023)

3D Adaptive VEM with stabilization-free a posteriori error bounds
by: Berrone, Stefano, et al.
Published: (2024)

Rate-optimal higher-order adaptive conforming FEM for biharmonic eigenvalue problems on polygonal domains
by: Carstensen, Carsten, et al.
Published: (2024)