Modeling curved interfaces without element-partitioning in the extended finite element method
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Publication:6549935
DOI10.1002/NME.6150zbMATH Open1548.74778MaRDI QIDQ6549935
Publication date: 4 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Bézier curveslevel set methodsinterface stabilizationhomogeneous numerical integration methodmaterial interface enrichmentspectral X-FEM
Classical linear elasticity (74B05) Structured surfaces and interfaces, coexistent phases (74A50) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
- Title not available (Why is that?)
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- The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Mortar contact formulations for deformable-deformable contact: past contributions and new extensions for enriched and embedded interface formulations
- High order X-FEM and levelsets for complex microstructures: uncoupling geometry and approximation
- Analysis of a Nitsche XFEM-DG discretization for a class of two-phase mass transport problems
- Ghost penalty
- Studied X-FEM enrichment to handle material interfaces with higher order finite element
- An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to embedded interface methods
- Best possible ratios of certain matrix norms
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra
- A gradient-augmented level set method with an optimally local, coherent advection scheme
- The finite cell method for three-dimensional problems of solid mechanics
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A practical guide to splines
- Implicitizing rational curves by the method of moving algebraic curves
- The partition of unity finite element method: basic theory and applications
- A computational approach to handle complex microstructure geometries.
- A fictitious domain method for Dirichlet problem and applications
- A stabilised immersed boundary method on hierarchical B-spline grids
- Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements
- Condition number analysis and preconditioning of the finite cell method
- Strongly stable generalized finite element method: application to interface problems
- Higher-order conformal decomposition FEM (CDFEM)
- High-order methods for computing distances to implicitly defined surfaces
- High order unfitted finite element methods on level set domains using isoparametric mappings
- Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods
- Geometric integration over irregular domains with application to level-set methods
- A finite element method for the simulation of strong and weak discontinuities in solid mechanics
- Interpolation theory over curved elements, with applications to finite element methods
- Finite element method. Vol. 1: The basis.
- Approximate implicitization
- Comparison of high-order curved finite elements
- An interface-enriched generalized FEM for problems with discontinuous gradient fields
- The hp-d -adaptive finite cell method for geometrically nonlinear problems of solid mechanics
- A spline-based enrichment function for arbitrary inclusions in extended finite element method with applications to finite deformations
- Highly accurate surface and volume integration on implicit domains by means of moment-fitting
- An adaptive interface-enriched generalized FEM for the treatment of problems with curved interfaces
- CutFEM: Discretizing geometry and partial differential equations
- A robust Nitsche's formulation for interface problems with spline-based finite elements
- Higher-order accurate integration of implicit geometries
- Development of a quadratic finite element formulation based on the XFEM and NURBS
- The extended/generalized finite element method: An overview of the method and its applications
- Condition Estimates
- The immersed boundary method
- Strong and weak arbitrary discontinuities in spectral finite elements
- An efficient finite element method for embedded interface problems
- A conformal decomposition finite element method for modeling stationary fluid interface problems
- 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
- A discontinuous-Galerkin-based immersed boundary method
- Integration on a convex polytope
- On the construction of blending elements for local partition of unity enriched finite elements
- Arbitrary branched and intersecting cracks with the extended finite element method
- A finite element method for crack growth without remeshing
- Accuracy and condition of curved (isoparametric) finite elements
- The Virtual Element Method with curved edges
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- Complex potentials in two-dimensional elasticity
- Modeling holes and inclusions by level sets in the extended finite element method
- Modeling crack discontinuities without element-partitioning in the extended finite element method
- Conformal higher-order remeshing schemes for implicitly defined interface problems
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