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Stable Generalized Finite Element Method (SGFEM)
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Outgoing claims: the papers this work cites, builds on, or argues with.
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THE PARTITION OF UNITY METHOD
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Elastic crack growth in finite elements with minimal remeshing
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A finite element method for crack growth without remeshing
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The generalized finite element method: an example of its implementation and illustration of its performance
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H-p clouds—anh-p meshless method
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Extended finite element method for three-dimensional crack modelling
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Arbitrary branched and intersecting cracks with the extended finite element method
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A powerful hybrid method in finite element analysis
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Representation of singularities with isoparametric finite elements
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A corrected XFEM approximation without problems in blending elements
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eXtended Stochastic Finite Element Method for the numerical simulation of heterogeneous materials with random material interfaces
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An extended finite element method applied to levitated droplet problems
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The extended/generalized finite element method: An overview of the method and its applications
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A robust preconditioning technique for the extended finite element method
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Analysis of a finite element method--PDE/PROTRAN
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Meshfree Methods for Partial Differential Equations III
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A Particle-Partition of Unity Method Part VII: Adaptivity
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A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations
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The calculation of stress intensity factors using the finite element method with cracked elements
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On finite element methods for elliptic equations on domains with corners
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Generalized p-FEM in homogenization
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On the use of singular functions with finite element approximations
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An analysis of the finite element method
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Verification and validation in computational engineering and science: basic concepts
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Generalized finite element analysis of three-dimensional heat transfer problems exhibiting sharp thermal gradients
inferredcites →https://doi.org/10.1016/s0020-7683(00)00194-3openalex-snapshot
Modeling fracture in Mindlin–Reissner plates with the extended finite element method
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The generalized finite element method
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A computational approach to handle complex microstructure geometries
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An h-p adaptive method using clouds
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The partition of unity finite element method: Basic theory and applications
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A new cloud-based hp finite element method
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The design and analysis of the Generalized Finite Element Method
inferredcites →https://doi.org/10.1017/cbo9780511760396openalex-snapshot
Verification and Validation in Scientific Computing
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Generalized Finite Element Method for Vector Electromagnetic Problems
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Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
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Accuracy and Stability of Numerical Algorithms
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Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
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A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
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GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE
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Validation in Simulation: Various Positions in the Philosophy of Science
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The Partition of Unity Finite Element Method
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An Analysis of the Finite Element Method
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Numerical Analysis--Mathematics of Scientific Computing.
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The Partition of Unity Finite Element Method: Basic Theory and Applications
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Accuracy and stability of numerical algorithms
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Enriched finite element methods for Timoshenko beam free vibration analysis
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Loaded crack surfaces in two and three dimensions with XFEM
inferred← citeshttps://doi.org/10.1016/j.apm.2020.04.018openalex-snapshot
Effect of enrichment functions on GFEM solutions of time-dependent conduction heat transfer problems
inferred← citeshttps://doi.org/10.1016/j.apnum.2021.01.002openalex-snapshot
Interface adapted LBB-stable finite elements on fluid structure interaction problems in fully Eulerian framework
inferred← citeshttps://doi.org/10.1016/j.apnum.2022.02.004openalex-snapshot
Immersed finite element approximation for semi-linear parabolic interface problems combining with two-grid methods
inferred← citeshttps://doi.org/10.1016/j.apnum.2025.03.009openalex-snapshot
General enrichments of stable GFEM for interface problems: Theory and extreme learning machine construction
inferred← citeshttps://doi.org/10.1016/j.cagd.2018.03.025openalex-snapshot
Isogeometric analysis with strong multipatch C1-coupling
inferred← citeshttps://doi.org/10.1016/j.cam.2013.09.033openalex-snapshot
A partition of unity method for the displacement obstacle problem of clamped Kirchhoff plates
inferred← citeshttps://doi.org/10.1016/j.cam.2019.112475openalex-snapshot
Stable generalized finite element method (SGFEM) for parabolic interface problems
inferred← citeshttps://doi.org/10.1016/j.cam.2019.112558openalex-snapshot
Higher order stable generalized finite element method for the elliptic eigenvalue and source problems with an interface in 1D
inferred← citeshttps://doi.org/10.1016/j.cam.2021.114053openalex-snapshot
A generalized isogeometric analysis of elliptic eigenvalue and source problems with an interface
inferred← citeshttps://doi.org/10.1016/j.cam.2023.115180openalex-snapshot
Construction of discontinuous enrichment functions for enriched or generalized FEM’s for interface elliptic problems in 1D
inferred← citeshttps://doi.org/10.1016/j.cam.2023.115540openalex-snapshot
Improved enrichments and numerical integrations in SGFEM for interface problems
inferred← citeshttps://doi.org/10.1016/j.cam.2024.115792openalex-snapshot
Higher order stable generalized isogeometric analysis for interface problems
inferred← citeshttps://doi.org/10.1016/j.camwa.2016.04.043openalex-snapshot
On the enrichment zone size for optimal convergence rate of the Generalized/Extended Finite Element Method
inferred← citeshttps://doi.org/10.1016/j.camwa.2022.04.012openalex-snapshot
Assessment of the flat-top stable GFEM for free vibration analysisImage 1
inferred← citeshttps://doi.org/10.1016/j.camwa.2024.04.008openalex-snapshot
An eigenvalue stabilization technique for immersed boundary finite element methods in explicit dynamics
inferred← citeshttps://doi.org/10.1016/j.cma.2013.07.005openalex-snapshot
Extra-dof-free and linearly independent enrichments in GFEM
inferred← citeshttps://doi.org/10.1016/j.cma.2013.07.010openalex-snapshot
A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
inferred← citeshttps://doi.org/10.1016/j.cma.2014.08.030openalex-snapshot
Effects of the smoothness of partitions of unity on the quality of representation of singular enrichments for GFEM/XFEM stress approximations around brittle cracks
inferred← citeshttps://doi.org/10.1016/j.cma.2014.09.016openalex-snapshot
A coupled Eulerian–Lagrangian extended finite element formulation for simulating large deformations in hyperelastic media with moving free boundaries
inferred← citeshttps://doi.org/10.1016/j.cma.2014.11.026openalex-snapshot
Improved XFEM—An extra-dof free, well-conditioning, and interpolating XFEM
inferred← citeshttps://doi.org/10.1016/j.cma.2014.11.043openalex-snapshot
The Orthonormalized Generalized Finite Element Method–OGFEM: Efficient and stable reduction of approximation errors through multiple orthonormalized enriched basis functions
inferred← citeshttps://doi.org/10.1016/j.cma.2015.01.014openalex-snapshot
Stable GFEM (SGFEM): Improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
inferred← citeshttps://doi.org/10.1016/j.cma.2015.03.009openalex-snapshot
A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
inferred← citeshttps://doi.org/10.1016/j.cma.2015.06.018openalex-snapshot
An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks
inferred← citeshttps://doi.org/10.1016/j.cma.2015.07.024openalex-snapshot
A gradient-based shape optimization scheme using an interface-enriched generalized FEM
inferred← citeshttps://doi.org/10.1016/j.cma.2016.02.030openalex-snapshot
Stable Generalized Finite Element Method and associated iterative schemes; application to interface problems
inferred← citeshttps://doi.org/10.1016/j.cma.2016.03.023openalex-snapshot
Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture
inferred← citeshttps://doi.org/10.1016/j.cma.2016.05.013openalex-snapshot
Improved XFEM: Accurate and robust dynamic crack growth simulation
inferred← citeshttps://doi.org/10.1016/j.cma.2016.07.006openalex-snapshot
Condition number analysis and preconditioning of the finite cell method
inferred← citeshttps://doi.org/10.1016/j.cma.2016.08.021openalex-snapshot
Adaptively Weighted Numerical Integration in the Finite Cell Method
inferred← citeshttps://doi.org/10.1016/j.cma.2016.09.047openalex-snapshot
Compatible-strain mixed finite element methods for 2D compressible nonlinear elasticity
inferred← citeshttps://doi.org/10.1016/j.cma.2017.03.042openalex-snapshot
eXtended variational quasicontinuum methodology for lattice networks with damage and crack propagation
inferred← citeshttps://doi.org/10.1016/j.cma.2017.04.005openalex-snapshot
An effective XFEM with equivalent eigenstrain for stress intensity factors of homogeneous plates
inferred← citeshttps://doi.org/10.1016/j.cma.2017.08.008openalex-snapshot
Strongly stable generalized finite element method: Application to interface problems
inferred← citeshttps://doi.org/10.1016/j.cma.2017.09.027openalex-snapshot
A geometrically regularized gradient-damage model with energetic equivalence
inferred← citeshttps://doi.org/10.1016/j.cma.2018.07.042openalex-snapshot
Orbital-enriched flat-top partition of unity method for the Schrödinger eigenproblem
inferred← citeshttps://doi.org/10.1016/j.cma.2018.08.007openalex-snapshot
Improving the conditioning of XFEM/GFEM for fracture mechanics problems through enrichment quasi-orthogonalization
inferred← citeshttps://doi.org/10.1016/j.cma.2018.08.029openalex-snapshot
Three-dimensional improved XFEM (IXFEM) for static crack problems
inferred← citeshttps://doi.org/10.1016/j.cma.2018.10.044openalex-snapshot
Computational modeling of localized failure in solids: XFEM vs PF-CZM
inferred← citeshttps://doi.org/10.1016/j.cma.2018.11.018openalex-snapshot
A stable generalized/eXtended FEM with discontinuous interpolants for fracture mechanics
inferred← citeshttps://doi.org/10.1016/j.cma.2019.01.030openalex-snapshot
Preconditioning immersed isogeometric finite element methods with application to flow problems
inferred← citeshttps://doi.org/10.1016/j.cma.2019.01.043openalex-snapshot
Stable Generalized Iso-Geometric Analysis (SGIGA) for problems with discontinuities and singularities
inferred← citeshttps://doi.org/10.1016/j.cma.2019.02.005openalex-snapshot
A unified enrichment approach addressing blending and conditioning issues in enriched finite elements
inferred← citeshttps://doi.org/10.1016/j.cma.2019.05.018openalex-snapshot
A stable discontinuity-enriched finite element method for 3-D problems containing weak and strong discontinuities
inferred← citeshttps://doi.org/10.1016/j.cma.2019.112671openalex-snapshot
On the stability and interpolating properties of the Hierarchical Interface-enriched Finite Element Method
inferred← citeshttps://doi.org/10.1016/j.cma.2020.112970openalex-snapshot
A Stable Generalized/eXtended p -hierarchical FEM for three-dimensional linear elastic fracture mechanics
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113091openalex-snapshot
Dynamic crack propagation analysis based on the s-version of the finite element method
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113359openalex-snapshot
Local adaptive q -enrichments and generalized finite elements for transient heat diffusion problems
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113388openalex-snapshot
A simple, first-order, well-conditioned, and optimally convergent Generalized/eXtended FEM for two- and three-dimensional linear elastic fracture mechanics
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113427openalex-snapshot
Orthogonalized Generalized Iso-Geometric Analysis (OGIGA) and its applications to problems of fracture mechanics
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113429openalex-snapshot
Stable Generalized/eXtended Finite Element Method with global–local enrichment for material nonlinear analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2021.113848openalex-snapshot
Fully decoupling geometry from discretization in the Bloch–Floquet finite element analysis of phononic crystals
inferred← citeshttps://doi.org/10.1016/j.cma.2021.113934openalex-snapshot
A high-order generalized Finite Element Method for multiscale structural dynamics and wave propagation
inferred← citeshttps://doi.org/10.1016/j.cma.2021.114440openalex-snapshot
A sharp-interface model for diffusional evolution of precipitates in visco-plastic materials
inferred← citeshttps://doi.org/10.1016/j.cma.2021.114537openalex-snapshot
A condensed generalized finite element method (CGFEM) for interface problems
inferred← citeshttps://doi.org/10.1016/j.cma.2022.114639openalex-snapshot
A generalized finite element method without extra degrees of freedom for large deformation analysis of three-dimensional elastic and elastoplastic solids
inferred← citeshttps://doi.org/10.1016/j.cma.2022.114917openalex-snapshot
Well-conditioned and optimally convergent second-order Generalized/eXtended FEM formulations for linear elastic fracture mechanics
inferred← citeshttps://doi.org/10.1016/j.cma.2022.114937openalex-snapshot
An adapted deflated conjugate gradient solver for robust extended/generalised finite element solutions of large scale, 3D crack propagation problems
inferred← citeshttps://doi.org/10.1016/j.cma.2022.115628openalex-snapshot
Angles between subspaces and nearly optimal approximation in GFEM
inferred← citeshttps://doi.org/10.1016/j.cma.2022.115744openalex-snapshot
Error analysis of Petrov-Galerkin immersed finite element methods
inferred← citeshttps://doi.org/10.1016/j.cma.2022.115770openalex-snapshot
An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions
inferred← citeshttps://doi.org/10.1016/j.cma.2022.115844openalex-snapshot
Improved XFEM (IXFEM): 3D dynamic crack propagation under impact loading
inferred← citeshttps://doi.org/10.1016/j.cma.2023.115911openalex-snapshot
Preconditioned numerical manifold method for linear elastic fractures
inferred← citeshttps://doi.org/10.1016/j.cma.2023.115914openalex-snapshot
A two-scale solver for linear elasticity problems in the context of parallel message passing
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116045openalex-snapshot
Improved XFEM for multiple crack analysis: Accurate and efficient implementations for stress intensity factors
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116541openalex-snapshot
XFEM\GFEM based approach for topology optimization of extruded beams with enhanced buckling resistance
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116689openalex-snapshot
Parameter identification of a phase-field fracture model using integrated digital image correlation
inferred← citeshttps://doi.org/10.1016/j.cma.2024.116748openalex-snapshot
An interface-enriched generalized finite element method for the analysis and topology optimization of 2-D electromagnetic problems
inferred← citeshttps://doi.org/10.1016/j.cma.2024.116791openalex-snapshot
Improved XFEM (IXFEM): Arbitrary multiple crack initiation, propagation and interaction analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117393openalex-snapshot
On variationally consistent versus heuristic mass formulations in cut and extended finite element methods
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117432openalex-snapshot
The discontinuity-enriched finite element method for multiple intersecting discontinuities
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117466openalex-snapshot
An extra-dof-free generalized finite element method for incompressible Navier-Stokes equations
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117585openalex-snapshot
A Discontinuity-Enriched Finite Element Method (DE-FEM) for modeling quasi-static fracture growth in brittle solids
inferred← citeshttps://doi.org/10.1016/j.cma.2025.118267openalex-snapshot
A consistent phase-field-regularised partition of unity method for fracture analysis
inferred← citeshttps://doi.org/10.1016/j.cnsns.2026.109879openalex-snapshot
Unconditional stability and convergence of second-order backward differentiation formula in SGFEM for parabolic interface problems
inferred← citeshttps://doi.org/10.1016/j.commatsci.2015.07.034openalex-snapshot
Numerical simulations of crack propagation in screws with phase-field modeling
inferred← citeshttps://doi.org/10.1016/j.compfluid.2012.10.017openalex-snapshot
The stable XFEM for two-phase flows
inferred← citeshttps://doi.org/10.1016/j.compgeo.2021.104459openalex-snapshot
Numerical manifold method with local pixel representation of finite covers for two-dimensional problems having complex discontinuities
inferred← citeshttps://doi.org/10.1016/j.compstruc.2015.11.010openalex-snapshot
Non-physical finite element method: Multiple material discontinuities
inferred← citeshttps://doi.org/10.1016/j.compstruc.2016.05.019openalex-snapshot
Dynamic analysis of Euler–Bernoulli beam problems using the Generalized Finite Element Method
inferred← citeshttps://doi.org/10.1016/j.compstruc.2016.07.003openalex-snapshot
Tessellated continuum mechanics: A Galerkin finite element method
inferred← citeshttps://doi.org/10.1016/j.compstruc.2018.03.001openalex-snapshot
A new enriched 4-node 2D solid finite element free from the linear dependence problem
inferred← citeshttps://doi.org/10.1016/j.compstruc.2018.12.002openalex-snapshot
New enriched 3D solid finite elements: 8-node hexahedral, 6-node prismatic, and 5-node pyramidal elements
inferred← citeshttps://doi.org/10.1016/j.compstruc.2020.106374openalex-snapshot
Feasibility of a weakly intrusive Generalized Finite Element Method implementation in a commercial code: Application to Ceramic Matrix Composite micro-structures
inferred← citeshttps://doi.org/10.1016/j.cpc.2024.109124openalex-snapshot
Quadrature of functions with endpoint singular and generalised polynomial behaviour in computational physics
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