Efficient cut-cell quadrature based on moment fitting for materially nonlinear analysis
From MaRDI portal
Publication:2184452
DOI10.1016/j.cma.2020.113050zbMath1442.74221OpenAlexW3024072716MaRDI QIDQ2184452
Hoang-Giang Bui, Dominik Schillinger, Günther Meschke
Publication date: 28 May 2020
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.2020.113050
Related Items (7)
Robust numerical integration on curved polyhedra based on folded decompositions ⋮ Moment fitted cut spectral elements for explicit analysis of guided wave propagation ⋮ An implicit Cartesian cut-cell method for incompressible viscous flows with complex geometries ⋮ Adaptive quadrature/cubature rule: application to polytopes ⋮ Non-negative moment fitting quadrature rules for fictitious domain methods ⋮ Non-negative moment fitting quadrature for cut finite elements and cells undergoing large deformations ⋮ Octree-based integration scheme with merged sub-cells for the finite cell method: application to non-linear problems in 3D
Uses Software
Cites Work
- Unnamed Item
- Cut finite element methods for coupled bulk-surface problems
- Numerical integration of discontinuities on arbitrary domains based on moment fitting
- The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
- The finite cell method for polygonal meshes: poly-FCM
- The finite cell method for linear thermoelasticity
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries
- Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons
- Discretization of Dirac delta functions in level set methods
- Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
- Numerical integration of discontinuous functions: moment fitting and smart octree
- An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to embedded interface methods
- Consistent tangent operators for rate-independent elastoplasticity
- 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
- Solving PDEs in complex geometries: a diffuse domain approach
- Computational inelasticity
- The tetrahedral finite cell method for fluids: immersogeometric analysis of turbulent flow around complex geometries
- A new formulation for air-blast fluid-structure interaction using an immersed approach. I: Basic methodology and FEM-based simulations
- The finite cell method for nearly incompressible finite strain plasticity problems with complex geometries
- An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method
- Numerical integration for nonlinear problems of the finite cell method using an adaptive scheme based on moment fitting
- A cut finite element method for coupled bulk-surface problems on time-dependent domains
- The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements
- Adaptively weighted numerical integration in the finite cell method
- Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements
- Condition number analysis and preconditioning of the finite cell method
- Optimizing fluid-structure interaction systems with immersogeometric analysis and surrogate modeling: application to a hydraulic arresting gear
- Smart octrees: accurately integrating discontinuous functions in 3D
- A stabilized Nitsche cut finite element method for the Oseen problem
- Geometrically accurate, efficient, and flexible quadrature techniques for the tetrahedral finite cell method
- Embedded shell finite elements: solid-shell interaction, surface locking, and application to image-based bio-structures
- Shape aware quadratures
- The finite and spectral cell methods for smart structure applications: transient analysis
- Shape optimisation with multiresolution subdivision surfaces and immersed finite elements
- 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
- Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method
- Highly accurate surface and volume integration on implicit domains by means of moment-fitting
- Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry
- 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
- The tetrahedral finite cell method: Higher-order immersogeometric analysis on adaptive non-boundary-fitted meshes
- Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements
- A trace finite element method for a class of coupled bulk-interface transport problems
- A high‐order discontinuous Galerkin method for compressible flows with immersed boundaries
This page was built for publication: Efficient cut-cell quadrature based on moment fitting for materially nonlinear analysis
