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A Posteriori Error Estimates Based on Hierarchical Bases
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Outgoing claims: the papers this work cites, builds on, or argues with.
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A‐posteriori error estimates for the finite element method
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On the asymptotic exactness of error estimators for linear triangular finite elements
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On the asymptotic exactness of Bank-Weiser's estimator
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The hierarchical basis multigrid method
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A stable finite element for the stokes equations
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The contraction number of a class of two-level methods; an exact evaluation for some finite element subspaces and model problems
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Accuracy estimates and adaptive refinements in finite element computations
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Concepts of an adaptive hierarchical finite element code
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The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations
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An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
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Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
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Error Estimates for Adaptive Finite Element Computations
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PLTMG: A Software Package for Solving Elliptic Partial Differential Equations
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The Role of the Strengthened Cauchy–Buniakowskii–Schwarz Inequality in Multilevel Methods
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PLTMG: A Software Package for Solving Elliptic Partial Differential Equations, Users' Guide 7.0.
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A novel a posteriori error estimator for adaptive FEM of nonlocal diffusion problems and related convergence analysis
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EChem++ – An object-oriented problem solving environment for electrochemistry: Part 4. Adaptive multilevel finite elements applied to electrochemical models Algorithm and benchmark calculations
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MULTIBAT: Unified workflow for fast electrochemical 3D simulations of lithium-ion cells combining virtual stochastic microstructures, electrochemical degradation models and model order reduction
inferred← citeshttps://doi.org/10.1016/j.jocs.2026.102979openalex-snapshot
PSO-based adaptive B-spline approximation in PIES with hierarchical a posteriori error estimation for 2D elasticity
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A review of some a posteriori error estimates for adaptive finite element methods
inferred← citeshttps://doi.org/10.1016/s0045-7825(01)00414-5openalex-snapshot
A posteriori error estimates for a mixed-FEM formulation of a non-linear elliptic problem
inferred← citeshttps://doi.org/10.1016/s0045-7825(02)00419-xopenalex-snapshot
A posteriori error estimation with the p-version of the finite element method for nonlinear parabolic differential equations
inferred← citeshttps://doi.org/10.1016/s0045-7825(97)00081-9openalex-snapshot
Adaptive multilevel BEM for acoustic scattering
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On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors
inferred← citeshttps://doi.org/10.1016/s0045-7825(98)80102-3openalex-snapshot
A posteriori error estimation of steady-state finite element solutions of the Navier—Stokes equations by a subdomain residual method
inferred← citeshttps://doi.org/10.1016/s0045-7949(96)00382-3openalex-snapshot
On the assumed strain formulation with selective polynomial order enrichment for p-version shells
inferred← citeshttps://doi.org/10.1016/s0096-3003(99)00122-8openalex-snapshot
Analysis of a least squares finite element method for the circular arch problem
inferred← citeshttps://doi.org/10.1016/s0096-3003(99)00139-3openalex-snapshot
Least-squares finite element approximations to the Timoshenko beam problem
inferred← citeshttps://doi.org/10.1016/s0168-874x(96)00053-4openalex-snapshot
Computational techniques for adaptive hp finite element methods
inferred← citeshttps://doi.org/10.1016/s0168-9274(03)00013-8openalex-snapshot
A two-dimensional moving finite element method with local refinement based on a posteriori error estimates
inferred← citeshttps://doi.org/10.1016/s0168-9274(97)00081-0openalex-snapshot
A simple analysis of some a posteriori error estimates
inferred← citeshttps://doi.org/10.1016/s0168-9274(97)00088-3openalex-snapshot
Adaptive FEM for reaction—diffusion equations
inferred← citeshttps://doi.org/10.1016/s0377-0427(99)00049-7openalex-snapshot
A posteriori boundary element error estimation
inferred← citeshttps://doi.org/10.1016/s0377-0427(99)00271-xopenalex-snapshot
An a posteriori finite element error analysis for the stokes equations
inferred← citeshttps://doi.org/10.1016/s0378-4754(01)00285-3openalex-snapshot
Comparison of two-dimensional r-adaptive finite element methods using various error indicators
inferred← citeshttps://doi.org/10.1016/s0898-1221(00)00317-5openalex-snapshot
Goal-oriented error estimation and adaptivity for the finite element method
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A technique for a posteriori error estimation of h-p approximations of the Stokes equations
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Estimateur hiérarchique robuste pour un problème de perturbation singulière
inferred← citeshttps://doi.org/10.1016/s1874-608x(97)80003-9openalex-snapshot
Multilevel Solvers for Elliptic Problems on Domains
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An Adaptive Collocation Method Based on Interpolating Wavelets
inferred← citeshttps://doi.org/10.1017/s0962492900002610openalex-snapshot
Hierarchical bases and the finite element method
inferred← citeshttps://doi.org/10.1023/a:1012284322811openalex-snapshot
Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations for Nonlinear Problems
inferred← citeshttps://doi.org/10.1023/a:1014221125034openalex-snapshot
A Posteriori Error Estimators for Elliptic Equations with Discontinuous Coefficients
inferred← citeshttps://doi.org/10.1023/a:1014246117321openalex-snapshot
Adaptive Numerical Treatment of Elliptic Systems on Manifolds
inferred← citeshttps://doi.org/10.1023/a:1021247300362openalex-snapshot
A Posteriori Error Estimates for Finite Volume Element Approximations of Convection–Diffusion–Reaction Equations
inferred← citeshttps://doi.org/10.1023/a:1024058625449openalex-snapshot
Upper Bound of the Constant in Strengthened C.B.S. Inequality for Systems of Linear Partial Differential Equations
inferred← citeshttps://doi.org/10.1029/2020wr029354openalex-snapshot
Simulation of Unconfined Aquifer Flow Based on Parallel Adaptive Mesh Refinement
inferred← citeshttps://doi.org/10.1051/m2an:1999147openalex-snapshot
Formulations Mixtes Augmentées et Applications
inferred← citeshttps://doi.org/10.1051/m2an:2004044openalex-snapshot
Residual and hierarchicalaposteriorierror estimates for nonconforming mixed finite element methods
inferred← citeshttps://doi.org/10.1080/01630569908816906openalex-snapshot
A Posteriori Finite Element Error Analysis for Symmetric Positive Differential Equations
inferred← citeshttps://doi.org/10.1080/10407780290059459openalex-snapshot
THREE-DIMENSIONAL ADAPTIVE COMPUTATION OF BRINE TRANSPORT IN POROUS MEDIA
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Étude numérique d'estimations d'erreur a posteriori
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High order optimal anisotropic mesh adaptation using hierarchical elements
inferred← citeshttps://doi.org/10.1090/mcom/3572openalex-snapshot
Robust a posteriori error estimation for parameter-dependent linear elasticity equations
inferred← citeshttps://doi.org/10.1090/s0025-5718-08-02046-2openalex-snapshot
Implicit a posteriori error estimates for the Maxwell equations
inferred← citeshttps://doi.org/10.1090/s0025-5718-99-01149-7openalex-snapshot
Local and parallel finite element algorithms based on two-grid discretizations
inferred← citeshttps://doi.org/10.1093/imanum/dri041openalex-snapshot
An adaptive boundary element method for the exterior Stokes problem in three dimensions
inferred← citeshttps://doi.org/10.1093/imanum/drv016openalex-snapshot
Geodesic finite elements of higher order
inferred← citeshttps://doi.org/10.1093/jom/ufac015openalex-snapshot
Residual-based error estimation and adaptivity for stabilized immersed isogeometric analysis using truncated hierarchical B-splines
inferred← citeshttps://doi.org/10.1108/eum0000000005788openalex-snapshot
Error estimates and adaptive finite element methods
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A Time-Dependent Adaptive Remeshing for Electrical Waves of the Heart
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A Posteriori Error Estimation of Finite Element Solutions via the Direct Use of Higher Order Hierarchal Test Functions
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A $p$-Adaptive Scheme for Scalar Fields, Using High-Order, Singular Finite Elements
inferred← citeshttps://doi.org/10.1109/tmag.2013.2285254openalex-snapshot
Comparison of Residual and Hierarchical Finite Element Error Estimators in Eddy Current Problems
inferred← citeshttps://doi.org/10.1134/s0012266109080102openalex-snapshot
Method for constructing meshes adapting to the solution of boundary value problems for ordinary differential equations of the second and fourth orders
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