On the simultaneous solution of structural membranes on all level sets within a bulk domain
From MaRDI portal
Publication:6096465
DOI10.1016/j.cma.2023.116223arXiv2305.20001OpenAlexW4385011215MaRDI QIDQ6096465
Thomas-Peter Fries, Michael Wolfgang Kaiser
Publication date: 12 September 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.20001
fictitious domain methodlevel-set methodfinite strain theorytrace FEMembedded domain methodropes and membranes
Cites Work
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- An Eulerian approach to transport and diffusion on evolving implicit surfaces
- Finite element analysis on implicitly defined domains: an accurate representation based on arbitrary parametric surfaces
- Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
- Imposing essential boundary conditions in mesh-free methods
- An improvement of a recent Eulerian method for solving PDEs on general geometries
- Eulerian finite element method for parabolic PDEs on implicit surfaces
- Finite element approximation of elliptic partial differential equations on implicit surfaces
- A consistent finite element formulation of nonlinear membrane shell theory with particular reference to elastic rubberlike material
- Incompressible fluid problems on embedded surfaces: modeling and variational formulations
- Stabilized CutFEM for the convection problem on surfaces
- An adaptive octree finite element method for PDEs posed on surfaces
- A simple finite element method for elliptic bulk problems with embedded surfaces
- A stabilized cut finite element method for partial differential equations on surfaces: the Laplace-Beltrami operator
- Level set methods and dynamic implicit surfaces
- Transport and diffusion of material quantities on propagating interfaces via level set methods.
- Tangential differential equations for dynamical thin/shallow shells
- Reissner-Mindlin shell theory based on tangential differential calculus
- Kirchhoff-Love shell theory based on tangential differential calculus
- Nitsche's finite element method for model coupling in elasticity
- A unified finite strain theory for membranes and ropes
- The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements
- Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements
- Cut finite element modeling of linear membranes
- Fourth order partial differential equations on general geometries
- Trace finite element methods for PDEs on surfaces
- A Higher Order Finite Element Method for Partial Differential Equations on Surfaces
- A reduced model for Darcy’s problem in networks of fractures
- Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations
- 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
- CutFEM: Discretizing geometry and partial differential equations
- Higher-order accurate integration of implicit geometries
- PERFORMANCE OF DIFFERENT INTEGRATION SCHEMES IN FACING DISCONTINUITIES IN THE FINITE CELL METHOD
- A Finite Element Method for Elliptic Equations on Surfaces
- Shapes and Geometries
- The Finite Element Analysis of Shells - Fundamentals
- A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions
- Analysis of trace finite element methods for surface partial differential equations
- The Shapes of Things
- An h-narrow band finite-element method for elliptic equations on implicit surfaces
- Higher-order XFEM for curved strong and weak discontinuities
- A Trace Finite Element Method for Vector-Laplacians on Surfaces
- Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces
- Theory of Shell Structures
- Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
- A stabilized finite element method for advection-diffusion equations on surfaces
- Finite element methods for surface PDEs
- Level set methods: An overview and some recent results
- Variational problems and partial differential equations on implicit surfaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the simultaneous solution of structural membranes on all level sets within a bulk domain