A posteriori boundary layer detection and resolution in \textit{hpq}-adaptive finite element methods for 3D-based hierarchical plate and shell models
From MaRDI portal
Publication:2679345
DOI10.1016/j.camwa.2022.11.010OpenAlexW4309672152MaRDI QIDQ2679345
Publication date: 19 January 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.11.010
sensitivity analysisboundary layersgraded meshessolid mechanicsequilibrated residual method\textit{hp}-adaptivity
Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary-layer hygrothermal stresses in laminated, composite, circular, cylindrical shell panels
- On the stress singularities and boundary layer in moderately thick functionally graded sectorial plates
- Application of an automatic \(hp\) adaptive finite element method for thin-walled structures
- Adaptive hpq finite element methods for the analysis of 3D-based models of complex structures. I: Hierarchical modeling and approximations
- Toward a universal h-p adaptive finite element strategy. III: Design of h-p meshes
- On an h-type mesh-refinement strategy based on minimization of interpolation errors
- \(pq\)-adaptive solid finite elements for three-dimensional plates and shells
- On the boundary-layer phenomenon in bending of thick annular sector plates using third-order shear deformation theory
- Multilevel preconditioning for the boundary concentrated \(hp\)-FEM
- On the extrapolation for a singularly perturbed boundary value problem
- A posteriori error estimation for \(h-p\) approximations in elastostatics
- A general method for recovering equilibrating element tractions
- Internal and boundary calculations of thin elastic bodies
- Adaptive \(hpq\)-finite element methods of hierarchical models for plate- and shell-like structures
- Scale resolution, locking, and high-order finite element modelling of shells
- A priori error estimations of \(hp\)-finite element approximations for hierarchical models of plate- and shell-like structures
- Locking and boundary layer in hierarchical models for thin elastic structures
- Boundary layer realization in thin elastic three-dimensional domains and two-dimensional hierarchic plate models
- Boundary layers in thin elastic shells with developable middle surface
- Boundary layers of hierarchical beam and plate models
- Anisotropic discretization- and model-error estimation in solid mechanics by local Neumann problems
- An anisotropic \(h\)-type mesh-refinement strategy
- An a posteriori error estimator for anisotropic refinement
- Hierarchic models for laminated plates and shells
- The \(hp\) finite element method for problems in mechanics with boundary layers
- Edge layers in thin elastic plates
- 3D-based hierarchical models and \(hpq\)-approximations for adaptive finite element method of Laplace problems as exemplified by linear dielectricity
- Fully automatic \(hp\)-adaptivity in three dimensions
- Adaptive \(hpq\) finite element methods for the analysis of 3D-based models of complex structures. Part II: A posteriori error estimation
- The best FEM
- The Boundary Layer for the Reissner–Mindlin Plate Model
- 3D-basedhp-adaptive first-order shell finite element for modelling and analysis of complex structures—Part 1: The model and the approximation
- 3D-basedhp-adaptive first-order shell finite element for modelling and analysis of complex structures—Part 2: Application to structural analysis
- Hierarchic plate and shell models based onp-extension
- Application of the three-dimensional triangular-prism hpq adaptive finite element to plate and shell analysis
- THE hp FINITE ELEMENT METHOD FOR SINGULARLY PERTURBED PROBLEMS IN SMOOTH DOMAINS
- Multiscale Expansions for Linear Clamped Elliptic Shells
- The $p$ and $hp$ versions of the finite element method for problems with boundary layers
- Asymptotic Analysis of the Boundary Layer for the Reissner–Mindlin Plate Model
- GEOMETRIC SINGULARITY ON THE LATERAL EDGE OF A BENDING PLATE
- The Influence of Lateral Boundary Conditions on the Asymptotics in Thin Elastic Plates
- A model problem for boundary layers of thin elastic shells
- Computing with hp-ADAPTIVE FINITE ELEMENTS
- Computing with hp-ADAPTIVE FINITE ELEMENTS
- Fourier mode analysis of layers in shallow shell deformations
- On a boundary layer phenomenon in Mindlin-Reissner plate theory for laminated circular sector plates
