Shell finite cell method: a high order fictitious domain approach for thin-walled structures
From MaRDI portal
Publication:660317
DOI10.1016/j.cma.2011.06.005zbMath1230.74232OpenAlexW2055042630MaRDI QIDQ660317
Ch. Sorger, Alexander Düster, Stefan Kollmannsberger, Ernst Rank
Publication date: 1 February 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2011.06.005
high-order methodsfictitious domain methodthin-walled structuresisogeometric analysis\(p\)-FEMfinite cell method
Related Items
New 25-point stencils with optimal accuracy for 2-D heat transfer problems. Comparison with the quadratic isogeometric elements, The hp-d -adaptive finite cell method for geometrically nonlinear problems of solid mechanics, Shape optimization of Dirichlet boundaries based on weighted B-spline finite cell method and level-set function, The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models, Geometric modeling, isogeometric analysis and the finite cell method, An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces, Construction of equilibrated singular basis functions without a priori knowledge of analytical singularity order, Local enrichment of the finite cell method for problems with material interfaces, Phase-field modeling of brittle fracture with multi-level \textit{hp}-FEM and the finite cell method, The treatment of the Neumann boundary conditions for a new numerical approach to the solution of PDEs with optimal accuracy on irregular domains and Cartesian meshes, Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method, Numerical analysis of Lamb waves using the finite and spectral cell methods, Parameter-free, weak imposition of Dirichlet boundary conditions and coupling of trimmed and non-conforming patches, Optimal local truncation error method to solution of 2‐D time‐independent elasticity problems with optimal accuracy on irregular domains and unfitted Cartesian meshes, An integrated design approach for simultaneous shape and topology optimization of shell structures, Theoretical and numerical investigation of the finite cell method, Immersed isogeometric analysis based on a hybrid collocation/finite cell method, Hierarchically refined isogeometric analysis of trimmed shells, Non-negative moment fitting quadrature rules for fictitious domain methods, Optimal local truncation error method for solution of wave and heat equations for heterogeneous materials with irregular interfaces and unfitted Cartesian meshes, A new 3-d numerical approach to the solution of PDEs with optimal accuracy on irregular domains and Cartesian meshes, Isogeometric analysis on V-reps: first results, Vibration and buckling analyses of FGM plates with multiple internal defects using XIGA-PHT and FCM under thermal and mechanical loads, Numerical homogenization of hybrid metal foams using the finite cell method, Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes, A high-order numerical approach with Cartesian meshes for modeling of wave propagation and heat transfer on irregular domains with inhomogeneous materials, Higher-order mesh generation using CISAMR: a case study on bias in presentation and interpretation of results, A new numerical approach to the solution of the 2-D Helmholtz equation with optimal accuracy on irregular domains and Cartesian meshes, Dual weighted residual error estimation for the finite cell method
Cites Work
- Unnamed Item
- Topology optimization using the finite cell method
- Finite element analysis on implicitly defined domains: an accurate representation based on arbitrary parametric surfaces
- Isogeometric analysis for trimmed CAD surfaces
- Isogeometric analysis with trimming technique for problems of arbitrary complex topology
- An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Meshless methods: a review and computer implementation aspects
- The finite cell method for three-dimensional problems of solid mechanics
- Spectral domain embedding for elliptic PDEs in complex domains
- A comparison of fictitious domain methods appropriate for spectral/\(hp\) element discretisations
- Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
- Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Geometry representation issues associated with \(p\)-version finite element computations
- The optimal symmetrical points for polynomial interpolation of real functions in the tetrahedron
- The partition of unity finite element method: basic theory and applications
- Analytical and computational assessment of locking in the \(hp\) finite element method
- Quasi-regional mapping for the \(p\)-version of the finite element method
- A new cloud-based \(hp\) finite element method
- Hierarchic models for laminated plates and shells
- Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle
- A fictitious domain approach with spread interface for elliptic problems with general boundary conditions
- Adaptive embedded/immersed unstructured grid techniques
- Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
- The efficiency of the p‐version finite element method in a distributed computing environment
- The p‐version of the finite element method for three‐dimensional curved thin walled structures
- Fast kd-tree-based hierarchical radiosity for radiative heat transport problems
- Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method
- PERFORMANCE OF DIFFERENT INTEGRATION SCHEMES IN FACING DISCONTINUITIES IN THE FINITE CELL METHOD
- Construction of curvilinear co-ordinate systems and applications to mesh generation
- IMMERSED BOUNDARY METHODS
- An embedded Dirichlet formulation for 3D continua
- Elastic crack growth in finite elements with minimal remeshing
- Element‐free Galerkin methods
- On the membrane locking of h–p finite elements in a cylindrical shell problem
- Structured extended finite element methods for solids defined by implicit surfaces
- An Embedding of Domains Approach in Free Boundary Problems and Optimal Design
- Non-iterative numerical solution of boundary-value problems