Cover Image

Adaptive finite element methods for partial differential equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Rannacher, Rolf
Format:	Preprint
Published:	2003
Subjects:	Numerical Analysis 65N30, 65N50, 65K10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Adaptive SIPG method for approximations of boundary control problems governed by parabolic PDEs
by: Manohar, Ram, et al.
Published: (2025)

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

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

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

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)

Data-based Adaptive Refinement of Finite Element Thin Plate Spline
by: Fang, L., et al.
Published: (2023)

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

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

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)

Discrete reliability for high-order Crouzeix--Raviart finite elements
by: Bohne, Nis-Erik, et al.
Published: (2026)

Dimensions of exactly divergence-free finite element spaces in 3D
by: Scott, L. Ridgway, et al.
Published: (2022)

Adaptive finite element approximations of the first eigenpair associated with $p$-Laplacian
by: Li, Guanglian, et al.
Published: (2024)

Higher-order adaptive virtual element methods with contraction properties
by: Canuto, Claudio, et al.
Published: (2023)

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

Decoupled finite element methods for a fourth-order exterior differential equation
by: Cui, Xuewei, et al.
Published: (2024)

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

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

A two-grid Adaptive Finite Element Method for the Dirichlet Boundary Control Problem Governed by Stokes Equation
by: Gudi, Thirupathi, et al.
Published: (2024)

A posteriori error analysis and adaptivity of a space-time finite element method for the wave equation in second order formulation
by: Dong, Zhaonan, et al.
Published: (2025)

Complexity analysis of quasi continuous level Monte Carlo
by: Beschle, Cedric Aaron, et al.
Published: (2023)

Preconditioned normal equations for solving discretised partial differential equations
by: Lazzarino, Lorenzo, et al.
Published: (2025)

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)

Adaptive refinement for eigenvalue problems based on an associated source problem
by: Giani, Stefano, et al.
Published: (2025)

$hp$-FEM for Elastoplasticity & $hp$-Adaptivity Based on Local Error Reductions
by: Bammer, Patrick
Published: (2024)

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

Adaptive refinement in defeaturing problems via an equilibrated flux a posteriori error estimator
by: Buffa, Annalisa, 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)

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

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

Quasi-optimal polytopal finite element methods for biharmonic equation
by: Tran, Ngoc Tien
Published: (2026)

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

On the Orbits of Similarity Classes of Tetrahedra Generated by the Longest-Edge Bisection Algorithm
by: Michaud, Jérôme, et al.
Published: (2025)

Optimal control of fractional Poisson equation from non-local to local
by: Manohar, Ram, et al.
Published: (2025)

A monotone $Q^1$ finite element method for anisotropic elliptic equations
by: Li, Hao, et al.
Published: (2023)

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

Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the de Rham complex
by: Chaumont-Frelet, T., et al.
Published: (2022)

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

Error analysis for hybrid finite element/neural network discretizations
by: Kapustsin, Uladzislau, et al.
Published: (2023)

A Certified Goal-Oriented A Posteriori Defeaturing Error Estimator for Elliptic PDEs
by: Weder, Philipp, et al.
Published: (2025)