Conformal higher-order remeshing schemes for implicitly defined interface problems
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Publication:6565212
DOI10.1002/NME.5301zbMATH Open1548.65319MaRDI QIDQ6565212
Thomas-Peter Fries, Samir Omerović
Publication date: 1 July 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Structured surfaces and interfaces, coexistent phases (74A50) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Cites Work
- Title not available (Why is that?)
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- A NURBS enhanced extended finite element approach for unfitted CAD analysis
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
- X-FEM explicit dynamics for constant strain elements to alleviate mesh constraints on internal or external boundaries
- Theoretical and numerical investigation of the finite cell method
- The finite cell method for three-dimensional problems of solid mechanics
- Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
- A computational approach to handle complex microstructure geometries.
- Adaptive mesh generation for curved domains
- Level set methods and dynamic implicit surfaces
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- A level-set formulation of immersed boundary methods for fluid--structure interaction problems
- Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method
- Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle
- A triangular cut-cell adaptive method for high-order discretizations of the compressible Navier-Stokes equations
- High order unfitted finite element methods on level set domains using isoparametric mappings
- A stabilization technique for the regularization of nearly singular extended finite elements
- The finite element method for elliptic equations with discontinuous coefficients
- Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
- Interpolation theory over curved elements, with applications to finite element methods
- The \(hp\)-\(d\)-adaptive finite cell method for geometrically nonlinear problems of solid mechanics
- \(hp\)-adaptive extended finite element method
- Numerical solution of elliptic and parabolic partial differential equations
- Universal meshes: A method for triangulating planar curved domains immersed in nonconforming meshes
- A conformal decomposition finite element method for arbitrary discontinuities on moving interfaces
- CutFEM: Discretizing geometry and partial differential equations
- Higher-order accurate integration of implicit geometries
- The extended/generalized finite element method: An overview of the method and its applications
- Construction of curvilinear co-ordinate systems and applications to mesh generation
- A conformal decomposition finite element method for modeling stationary fluid interface problems
- Higher-order XFEM for curved strong and weak discontinuities
- An unfitted finite element method using discontinuous Galerkin
- Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries
- Optimal Finite-Element Interpolation on Curved Domains
- Elastic crack growth in finite elements with minimal remeshing
- Mesh generation in curvilinear domains using high‐order elements
- A Fast Iterative Algorithm for Elliptic Interface Problems
- Structured extended finite element methods for solids defined by implicit surfaces
- Topology optimization with implicit functions and regularization
- Arbitrary branched and intersecting cracks with the extended finite element method
- The extended finite element method (XFEM) for solidification problems
- A finite element method for crack growth without remeshing
- A Locally Modified Parametric Finite Element Method for Interface Problems
- Efficient explicit time stepping for the eXtended Finite Element Method (X‐FEM)
- The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns
- GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE
- Level set methods: An overview and some recent results
- Modeling holes and inclusions by level sets in the extended finite element method
Related Items (3)
Modeling curved interfaces without element-partitioning in the extended finite element method ⋮ Marching volume polytopes algorithm ⋮ A high-order FEM with exact geometry description for the Laplacian on implicitly defined surfaces
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