Goal-oriented a posteriori error estimation for the biharmonic problem based on an equilibrated moment tensor
DOI10.1016/j.camwa.2022.04.021OpenAlexW3181896332WikidataQ114201467 ScholiaQ114201467MaRDI QIDQ2147324
Publication date: 23 June 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.06614
adaptivitya posteriori error estimatequantity of interestunified frameworkguaranteed boundequilibrated moment tensor
Boundary value problems for second-order elliptic equations (35J25) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Cites Work
- Unnamed Item
- Unnamed Item
- A strict error bound with separated contributions of the discretization and of the iterative solver in non-overlapping domain decomposition methods
- \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
- Mathematical aspects of discontinuous Galerkin methods.
- Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem
- Strict upper error bounds on computed outputs of interest in computational structural mechanics
- Goal-oriented error estimation based on equilibrated-flux reconstruction for finite element approximations of elliptic problems
- Strict bounding of quantities of interest in computations based on domain decomposition
- On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
- A partition-of-unity dual-weighted residual approach for multi-objective goal functional error estimation applied to elliptic problems
- Worst-case multi-objective error estimation and adaptivity
- Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers
- Goal-oriented adaptive finite element methods for elliptic problems revisited
- Guaranteed computable bounds on quantities of interest in finite element computations
- New bounding techniques for goal-oriented error estimation applied to linear problems
- A goal-orientedhp-adaptive discontinuous Galerkin approach for biharmonic problems
- Calculation of strict error bounds for finite element approximations of non-linear pointwise quantities of interest
- An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems
- A new error analysis for discontinuous finite element methods for linear elliptic problems
- Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
- An optimal control approach to a posteriori error estimation in finite element methods
- A Goal-Oriented Adaptive Finite Element Method with Convergence Rates
- An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem
- The Hellan-Herrmann-Johnson Method: Some New Error Estimates and Postprocessing
- Mixed and Hybrid Finite Element Methods
- Interpolation Error Estimates for the Reduced Hsieh-Clough-Tocher Triangle
- An equilibration-based a posteriori error bound for the biharmonic equation and two finite element methods
- A priori and a posteriori error control of discontinuous Galerkin finite element methods for the von Kármán equations
- Multitarget Error Estimation and Adaptivity in Aerodynamic Flow Simulations
- Enhancing Least-Squares Finite Element Methods Through a Quantity-of-Interest
- Finite Elemente
- Discontinuous Galerkin methods for the biharmonic problem
- A two-energies principle for the biharmonic equation and ana posteriorierror estimator for an interior penalty discontinuous Galerkin approximation
- The completion of locally refined simplicial partitions created by bisection
- Approximations in elasticity based on the concept of function space
- Goal-oriented error estimation and adaptivity for the finite element method
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