An a posteriori error estimate for the generalized finite element method for transient heat diffusion problems
DOI10.1002/NME.5440zbMATH Open1548.65208WikidataQ107160464 ScholiaQ107160464MaRDI QIDQ6556863
Heiko Gimperlein, Muhammad Iqbal, Omar Laghrouche, M. Shadi Mohamed
Publication date: 17 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
error estimationfinite element methodsadaptivitygeneralized finite element methodextended finite element methodthermal effects
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)
Cites Work
- Title not available (Why is that?)
- Time-independent hybrid enrichment for finite element solution of transient conduction-radiation in diffusive grey media
- An enriched finite element model with \(q\)-refinement for radiative boundary layers in glass cooling
- Efficient analysis of transient heat transfer problems exhibiting sharp thermal gradients
- Enhanced error estimator based on a nearly equilibrated moving least squares recovery technique for FEM and XFEM
- Error assessment and mesh adaptivity for regularized continuous failure models
- Accurate recovery-based upper error bounds for the extended finite element framework
- The generalized finite element method for Helmholtz equation. II: Effect of choice of handbook functions, error due to absorbing boundary conditions and its assessment
- Analysis and applications of a generalized finite element method with global-local enrichment functions
- Light transport in biological tissue based on the simplified spherical harmonics equations
- Multigrid Newton-Krylov method for radiation in diffusive semitransparent media
- An Eulerian-Lagrangian method for coupled parabolic-hyperbolic equations
- Derivative recovery and a posteriori error estimate for extended finite elements
- The partition of unity finite element method: basic theory and applications
- Wave interpolation finite elements for Helmholtz problems with jumps in the wave speed
- Wave boundary elements: a theoretical overview presenting applications in scattering of short waves
- A posteriori error estimation for generalized finite element methods
- The generalized finite element method for Helmholtz equation: theory, computation, and open problems
- Subdomain-based error techniques for generalized finite element approximations of problems with singular stress fields
- Time-dependent simplified \(P_{N}\) approximation to the equations of radiative transfer
- A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems
- A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions
- Improving the accuracy of XFEM crack tip fields using higher order quadrature and statically admissible stress recovery
- Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems
- The discontinuous enrichment method for elastic wave propagation in the medium-frequency regime
- Error estimation and adaptivity for discontinuous failure
- Strict and effective bounds in goal-oriented error estimation applied to fracture mechanics problems solved with XFEM
- A recovery-type error estimator for the extended finite element method based onsingular+smoothstress field splitting
- A posteriorierror estimation for extended finite elements by an extended global recovery
- Comparison of two wave element methods for the Helmholtz problem
- Numerical modelling of elastic wave scattering in frequency domain by the partition of unity finite element method
- THE PARTITION OF UNITY METHOD
- Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem
- The partition-of-unity method for linear diffusion and convection problems: accuracy, stabilization and multiscale interpretation
- The Ultra-Weak Variational Formulation for Elastic Wave Problems
- NUMERICAL METHODS AND OPTIMAL CONTROL FOR GLASS COOLING PROCESSES
- A finite element method for crack growth without remeshing
- A simple error estimator for extended finite elements
- Error estimation of stress intensity factors for mixed‐mode cracks
- A Wavenumber Independent Boundary Element Method for an Acoustic Scattering Problem
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