Condensed generalized finite element method (Q6066438)

scientific article; zbMATH DE number 7776048

Language	Label	Description	Also known as
English	Condensed generalized finite element method	scientific article; zbMATH DE number 7776048

Statements

instance of

scholarly article

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title

Condensed generalized finite element method (English)

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Numerical Methods for Partial Differential Equations

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publication date

12 December 2023

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full work available at URL

https://arxiv.org/abs/2002.00425

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zbMATH Keywords

condensed procedure

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conditioning

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crack

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GFEM/XFEM

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higher order approximation

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PU

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MaRDI profile type

MaRDI publication profile

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cites work

Improving the conditioning of XFEM/GFEM for fracture mechanics problems through enrichment quasi-orthogonalization

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A unified enrichment approach addressing blending and conditioning issues in enriched finite elements

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Stable generalized finite element method (SGFEM)

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Strongly stable generalized finite element method: application to interface problems

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Survey of meshless and generalized finite element methods: A unified approach

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GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE

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Effect of numerical integration on meshless methods

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THE PARTITION OF UNITY METHOD

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Improved implementation and robustness study of the X-FEM for stress analysis around cracks

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Q4162607

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Multiscale Finite Element Methods

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Imposing essential boundary conditions in mesh-free methods

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The intrinsic XFEM for two-fluid flows

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The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns

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The intrinsic partition of unity method

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The extended/generalized finite element method: An overview of the method and its applications

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On time integration in the XFEM

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A Particle-Partition of Unity Method--Part II: Efficient Cover Construction and Reliable Integration

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Q4407680

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A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics

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Q4506063

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High-order extended finite element method for cracked domains

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A simple and efficient preconditioning scheme for Heaviside enriched XFEM

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A note on the conditioning of a class of generalized finite element methods

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Q5718781

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The partition of unity finite element method: basic theory and applications

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A robust preconditioning technique for the extended finite element method

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Mass lumping strategies for X-FEM explicit dynamics: Application to crack propagation

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RBF-PU method for pricing options under the jump-diffusion model with local volatility

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Meshless methods: a review and computer implementation aspects

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Optimal convergence analysis for the extended finite element method

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A stable generalized/extended FEM with discontinuous interpolants for fracture mechanics

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Stable enrichment and local preconditioning in the particle-partition of unity method

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Extra-dof-free and linearly independent enrichments in GFEM

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Improved XFEM: accurate and robust dynamic crack growth simulation

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Scattered Data Approximation

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Quadrature for meshless Nitsche's method

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DOF‐gathering stable generalized finite element methods for crack problems

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A stable generalized finite element method (SGFEM) of degree two for interface problems

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Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities

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Higher order stable generalized finite element method

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Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem

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Identifiers

arXiv ID

2002.00425

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6066438