A residual a posteriori error estimate for partition of unity finite elements for three-dimensional transient heat diffusion problems using multiple global enrichment functions
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Publication:6496295
DOI10.1002/NME.6328WikidataQ107630388 ScholiaQ107630388MaRDI QIDQ6496295
Heiko Gimperlein, Omar Laghrouche, Khurshid Alam, M. Shadi Mohamed, Muhammad Abid, Muhammad Javed Iqbal
Publication date: 3 May 2024
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 ordinary differential equations (65Lxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Cites Work
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- 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
- Stable generalized finite element method (SGFEM)
- Transient analysis of sharp thermal gradients using coarse finite element meshes
- The generalized finite element method for Helmholtz equation. II: Effect of choice of handbook functions, error due to absorbing boundary conditions and its assessment
- An a-posteriori error estimator for linear elastic fracture mechanics using the stable generalized/extended finite element method
- Derivative recovery and a posteriori error estimate for extended finite elements
- An \(h\)-\(p\) adaptive method using clouds
- The partition of unity finite element method: basic theory and applications
- Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
- Computational aspects of the ultra-weak variational formulation
- On principles for the selection of shape functions for the generalized finite element method
- A new cloud-based \(hp\) finite element method
- The design and analysis of the generalized finite element method
- Optimal estimates for lower and upper bounds of approximation errors in the \(p\)-version of the finite element method in two dimensions
- A partition of unity finite element method for three-dimensional transient diffusion problems with sharp gradients
- A partition of unity finite element method for nonlinear transient diffusion problems in heterogeneous materials
- 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
- A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions
- The extended/generalized finite element method: An overview of the method and its applications
- A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis
- Error estimation and adaptivity for discontinuous failure
- A posteriorierror estimation for extended finite elements by an extended global recovery
- Elastic crack growth in finite elements with minimal remeshing
- THE PARTITION OF UNITY METHOD
- A finite element method for crack growth without remeshing
- A simple error estimator for extended finite elements
- On error estimator and p‐adaptivity in the generalized finite element method
- The discontinuous enrichment method
- On residual-based a posteriori error estimation in hp-FEM
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