A probabilistic data assimilation framework to reconstruct finite element error fields from sparse error estimates: Application to sub‐modeling
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Publication:6092224
DOI10.1002/nme.7090WikidataQ114235333 ScholiaQ114235333MaRDI QIDQ6092224
Unnamed Author, Pierre Kerfriden, Unnamed Author
Publication date: 23 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
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Cites Work
- Unnamed Item
- Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography
- On two-scale adaptive FE analysis of micro-heterogeneous media with seamless scale-bridging
- The superconvergent patch recovery (SPR) and adaptive finite element refinement
- Two-scale composite finite element method for Dirichlet problems on complicated domains
- A non-intrusive method for the calculation of strict and efficient bounds of calculated outputs of interest in linear viscoelasticity problems
- Goal-oriented adaptivity for GMsFEM
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- A unified approach to a posteriori error estimation using element residual methods
- A posteriori error estimation and adaptive mesh-refinement techniques
- A posteriori error estimation in finite element analysis
- A novel error indicator and an adaptive refinement technique using the scaled boundary finite element method
- Local error estimators for finite element linear analysis
- On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
- Estimation of modeling error in computational mechanics.
- A posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem
- Error estimates in weighted Sobolev norms for finite element immersed interface methods
- Adaptive analysis using scaled boundary finite element method in 3D
- The statistical finite element method (statFEM) for coherent synthesis of observation data and model predictions
- Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis
- A posteriori error estimation and adaptivity in non-intrusive couplings between concurrent models
- Error estimate of a finite element method using stress intensity factor
- Goal-oriented error estimation and adaptivity in MsFEM computations
- Error estimates for two-scale composite finite element approximations of parabolic equations with measure data in time for convex and nonconvex polygonal domains
- Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery
- A fast, certified and ``tuning free two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems
- Functional Regression for State Prediction Using Linear PDE Models and Observations
- Geostatistics
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- An optimal control approach to a posteriori error estimation in finite element methods
- Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
- A simple error estimator and adaptive procedure for practical engineerng analysis
- CAD Model Simplification Error Estimation for Electrostatics Problems
- Guaranteed error bounds in homogenisation: an optimum stochastic approach to preserve the numerical separation of scales
- Adaptive Smoothed Aggregation ($\alpha$SA) Multigrid
- Mastering Calculations in Linear and Nonlinear Mechanics
- Goal-oriented error estimation and adaptivity for the finite element method
