A higher-order trace finite element method for shells

Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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Finite element modeling of a linear membrane shell problem using tangential differential calculus
On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization
On a stress resultant geometrically exact shell model. II: The linear theory; computational aspects
A finite element method for surface PDEs: Matrix properties
Incompressible fluid problems on embedded surfaces: modeling and variational formulations
A stabilized cut finite element method for partial differential equations on surfaces: the Laplace-Beltrami operator
Level set methods and dynamic implicit surfaces
A boundary differential equation for thin shells
Design and analysis of shell structures
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
High order exact geometry finite elements for seven-parameter shells with parametric and implicit reference surfaces
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
Isogeometric collocation for the Reissner-Mindlin shell problem
Higher-order meshing of implicit geometries. II: Approximations on manifolds
Shape optimization using the cut finite element method
Cut finite element modeling of linear membranes
High order unfitted finite element methods on level set domains using isoparametric mappings
Tangential differential calculus and the finite element modeling of a large deformation elastic membrane problem
Trace finite element methods for PDEs on surfaces
A Higher Order Finite Element Method for Partial Differential Equations on Surfaces
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
A Finite Element Method for Elliptic Equations on Surfaces
Shapes and Geometries
A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions
Finite element methods for the Laplace–Beltrami operator
Analysis of trace finite element methods for surface partial differential equations
Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces
Fundamental considerations for the finite element analysis of shell structures
The mathematical shell model underlying general shell elements
A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces
A Trace Finite Element Method for Vector-Laplacians on Surfaces
A Finite Element Method for the Surface Stokes Problem
Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces
Theory of Shell Structures
A Trace Finite Element Method for PDEs on Evolving Surfaces
Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
Finite element methods for surface PDEs
Stabilization of high order cut finite element methods on surfaces
Isogeometric stability analysis of thin shells: from simple geometries to engineering models