An improved stress recovery technique for the unfitted finite element analysis of discontinuous gradient fields
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Publication:6089261
DOI10.1002/nme.6825zbMath1530.74075OpenAlexW3197516218MaRDI QIDQ6089261
Alejandro M. Aragón, Unnamed Author
Publication date: 17 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: http://resolver.tudelft.nl/uuid:d143227b-7d20-4fd3-9176-353874eb3e53
Eshelby inclusion probleminterface-enriched generalized finite element methodpressurized sphereholed infinite plate
Classical linear elasticity (74B05) Plates (74K20) Inhomogeneity in solid mechanics (74E05) Finite element methods applied to problems in solid mechanics (74S05)
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Cites Work
- Unnamed Item
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- Hierarchical interface-enriched finite element method: an automated technique for mesh-independent simulations
- Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity
- Stable generalized finite element method (SGFEM)
- Accurate recovery-based upper error bounds for the extended finite element framework
- An a-posteriori error estimator for linear elastic fracture mechanics using the stable generalized/extended finite element method
- Direct determination of SIF and higher order terms of mixed mode cracks by a hybrid crack element
- Derivative recovery and a posteriori error estimate for extended finite elements
- Conforming to interface structured adaptive mesh refinement: 3D algorithm and implementation
- Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
- Finite element derivative recovery by moving least square interpolants
- A new cloud-based \(hp\) finite element method
- A stable discontinuity-enriched finite element method for 3-D problems containing weak and strong discontinuities
- On tailoring fracture resistance of brittle structures: a level set interface-enriched topology optimization approach
- Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation
- On the stability and interpolating properties of the hierarchical interface-enriched finite element method
- On the solution of an elliptical inhomogeneity in plane elasticity by the equivalent inclusion method
- A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
- Recent progress in robust and quality Delaunay mesh generation
- Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery
- An interface-enriched generalized FEM for problems with discontinuous gradient fields
- A conformal decomposition finite element method for arbitrary discontinuities on moving interfaces
- A new formulation for imposing Dirichlet boundary conditions on non-matching meshes
- The extended/generalized finite element method: An overview of the method and its applications
- Improving the accuracy of XFEM crack tip fields using higher order quadrature and statically admissible stress recovery
- A posteriori error estimation based on the superconvergent Recovery by Compatibility in Patches
- A conformal decomposition finite element method for modeling stationary fluid interface problems
- Improvement of the superconvergent patch recovery technique by the use of constraint equations: the SPR-C technique
- 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
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
- Patch recovery based on superconvergent derivatives and equilibrium
- Superconvergent patch recovery with equilibrium and conjoint interpolant enhancements
- Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions
- Optimal stress sampling points of plane triangular elements for patch recovery of nodal stresses
- Patch recovery based on complementary energy
- Local and global smoothing of discontinuous finite element functions using a least squares method
- A finite element method for crack growth without remeshing
- Variational Mass Lumping in the Partition of Unity Method
- A simple error estimator for extended finite elements
- Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem
- Conjugate approximation functions in finite-element analysis
- On the calculation of consistent stress distributions in finite element approximations
- Modeling holes and inclusions by level sets in the extended finite element method
