A unified approach for a posteriori high-order curved mesh generation using solid mechanics
DOI10.1007/s00466-016-1302-2zbMath1398.74472OpenAlexW2417398617WikidataQ59474516 ScholiaQ59474516MaRDI QIDQ341163
Roman Poya, Ruben Sevilla, Antonio J. Gil
Publication date: 16 November 2016
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-016-1302-2
Nonlinear elasticity (74B20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items
Uses Software
Cites Work
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Robust untangling of curvilinear meshes
- A parallel, high-order discontinuous Galerkin code for laminar and turbulent flows
- A new mixed finite element based on different approximations of the minors of deformation tensors
- An analysis of the performance of a high-order stabilised finite element method for simulating compressible flows
- Eddy-resolving numerical scheme for simulation of turbulent incompressible flows
- High-order RKDG methods for computational electromagnetics
- Unstructured grid-based discontinuous Galerkin method for broadband electromagnetic simulations
- Existence theorems in intrinsic nonlinear elasticity
- High-order unstructured curved mesh generation using the Winslow equations
- Convexity conditions and existence theorems in nonlinear elasticity
- Geometry representation issues associated with \(p\)-version finite element computations
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation.
- Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
- High-order methods for computational fluid dynamics: a brief review of compact differential formulations on unstructured grids
- Parallel iterative solution of the incompressible Navier-Stokes equations with application to rotating wings
- A first order hyperbolic framework for large strain computational solid dynamics. I: Total Lagrangian isothermal elasticity
- A computational framework for polyconvex large strain elasticity
- Adaptive mesh generation for curved domains
- Frequency and time domain electromagnetic scattering simulations employing higher order edge elements
- A simple orthotropic, transversely isotropic hyperelastic constitutive equation for large strain computations
- Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
- Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
- Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions
- Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces
- Micropolar hyperelasticity: constitutive model, consistent linearization and simulation of 3D scale effects
- A novel implementation of computational aerodynamic shape optimisation using modified cuckoo search
- A high order hybrid finite element method applied to the solution of electromagnetic wave scattering problems in the time domain
- A first order hyperbolic framework for large strain computational solid dynamics. II: Total Lagrangian compressible, nearly incompressible and truly incompressible elasticity
- A surface mesh smoothing and untangling method independent of the CAD parameterization
- On first strain-gradient theories in linear elasticity
- High-order accurate implementation of solid wall boundary conditions in curved geometries
- Comparison of high-order curved finite elements
- 3D NURBS-enhanced finite element method (NEFEM)
- Efficiency of high-order elements for continuous and discontinuous Galerkin methods
- Analysis of high-order finite elements for convected wave propagation
- Optimization of a regularized distortion measure to generate curved high-order unstructured tetrahedral meshes
- A distortion measure to validate and generate curved high-order meshes on CAD surfaces with independence of parameterization
- Facilitating the Adoption of Unstructured High-Order Methods Amongst a Wider Community of Fluid Dynamicists
- Mesh Moving Techniques for Fluid-Structure Interactions With Large Displacements
- High-order DGTD methods for dispersive Maxwell's equations and modelling of silver nanowire coupling
- Mesh generation in curvilinear domains using high‐order elements
- A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra
- A Note on Strong Ellipticity for Transversely Isotropic Linearly Elastic Solids
- High‐order CFD methods: current status and perspective
- A method for computing curved meshes via the linear elasticity analogy, application to fluid dynamics problems
- Nonlinear Continuum Mechanics for Finite Element Analysis
- Algorithm 832
- Spectral/hp Element Methods for Computational Fluid Dynamics
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item