Improving the modified XFEM for optimal high-order approximation

Fracture and damage (74Rxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

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Stable generalized finite element method (SGFEM)
A non-conformal extended finite element approach: integral matching Xfem
Higher order stable generalized finite element method
Static condensation, partial orthogonalization of basis functions, and ILU preconditioning in the \(hp\)-FEM
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
A level set approach for computing solutions to incompressible two-phase flow
The partition of unity finite element method: basic theory and applications
An extended finite element method with higher-order elements for curved cracks
A computational approach to handle complex microstructure geometries.
High-order methods for computational fluid dynamics: a brief review of compact differential formulations on unstructured grids
An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements
Smart octrees: accurately integrating discontinuous functions in 3D
Strongly stable generalized finite element method: application to interface problems
Higher-order conformal decomposition FEM (CDFEM)
Computing minimal surfaces via level set curvature flow
High order unfitted finite element methods on level set domains using isoparametric mappings
Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
Arbitrary discontinuities in finite elements
hp-adaptive extended finite element method
An adaptive interface-enriched generalized FEM for the treatment of problems with curved interfaces
A robust Nitsche's formulation for interface problems with spline-based finite elements
Higher-order accurate integration of implicit geometries
A hierarchical NXFEM for fictitious domain simulations
The extended/generalized finite element method: An overview of the method and its applications
Strong and weak arbitrary discontinuities in spectral finite elements
On the elimination of quadrature subcells for discontinuous functions in the eXtended Finite-Element Method
Higher-order XFEM for curved strong and weak discontinuities
Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods
A corrected XFEM approximation without problems in blending elements
Fast integration and weight function blending in the extended finite element method
Enhanced blending elements for XFEM applied to linear elastic fracture mechanics
High degree efficient symmetrical Gaussian quadrature rules for the triangle
Elastic crack growth in finite elements with minimal remeshing
Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
Thepandh-pVersions of the Finite Element Method, Basic Principles and Properties
THE PARTITION OF UNITY METHOD
On the construction of blending elements for local partition of unity enriched finite elements
New crack‐tip elements for XFEM and applications to cohesive cracks
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
Extended finite element method for three-dimensional crack modelling
Analysis of a high-order unfitted finite element method for elliptic interface problems
A finite element method for crack growth without remeshing
High‐order CFD methods: current status and perspective
Some improvements of Xfem for cracked domains
High-order extended finite element method for cracked domains
Spectral/hp Element Methods for Computational Fluid Dynamics
Modeling holes and inclusions by level sets in the extended finite element method
An extended finite element method for modeling crack growth with frictional contact.

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