The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements
From MaRDI portal
Publication:2308645
DOI10.1016/j.cma.2016.06.026zbMath1439.65192OpenAlexW2471856754MaRDI QIDQ2308645
David Kamensky, Dominik Schillinger, Ying Zhao, Yue Yu, Stein K. F. Stoter, Ming-Chen Hsu, Isaac Harari
Publication date: 3 April 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.2016.06.026
Related Items
An open-source framework for coupling non-matching isogeometric shells with application to aerospace structures, Enforcing essential boundary conditions on domains defined by point clouds, The Finite Cell Method for Simulation of Additive Manufacturing, Unfitted finite element method for fully coupled poroelasticity with stabilization, Projection-based stabilization of interface Lagrange multipliers in immersogeometric fluid-thin structure interaction analysis, with application to heart valve modeling, The embedded isogeometric Kirchhoff-Love shell: from design to shape optimization of non-conforming stiffened multipatch structures, Nitsche's method for non-conforming multipatch coupling in hyperelastic isogeometric analysis, A dual domain decomposition algorithm for the analysis of non-conforming isogeometric Kirchhoff-Love shells, A unified finite strain theory for membranes and ropes, Interface coupling method for the global-local analysis of heterogeneous models: a second-order homogenization-based strategy, Efficient cut-cell quadrature based on moment fitting for materially nonlinear analysis, Variational multiscale immersed boundary method for incompressible turbulent flows, Variational boundary conditions based on the Nitsche method for fitted and unfitted isogeometric discretizations of the mechanically coupled Cahn-Hilliard equation, A diffuse modeling approach for embedded interfaces in linear elasticity, Direct immersogeometric fluid flow and heat transfer analysis of objects represented by point clouds, A computational approach based on extended finite element method for thin porous layers in acoustic problems, Weak enforcement of interface continuity and generalized periodicity in high‐order electromechanical problems, On the simultaneous solution of structural membranes on all level sets within a bulk domain, XIGA: an eXtended IsoGeometric analysis approach for multi-material problems, Interpolation-based immersed finite element and isogeometric analysis, Partially penalized IFE methods and convergence analysis for elasticity interface problems, Towards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics, Photogrammetry-based computational fluid dynamics, Fast immersed boundary method based on weighted quadrature, A variational multiscale method with immersed boundary conditions for incompressible flows, A comparison of smooth basis constructions for isogeometric analysis, Volumetric embedded entities for the isogeometric analysis of complex structures, A parameter-free variational coupling approach for trimmed isogeometric thin shells, Isogeometric multi-patch analyses for mixed thin shells in the framework of non-linear elasticity, Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format, Modeling flow in porous media with double porosity/permeability: a stabilized mixed formulation, error analysis, and numerical solutions, A Nitsche-based non-intrusive coupling strategy for global/local isogeometric structural analysis, Skew-symmetric Nitsche's formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact, A projected super-penalty method for the \(C^1\)-coupling of multi-patch isogeometric Kirchhoff plates, Preconditioning immersed isogeometric finite element methods with application to flow problems, Consistent discretization of higher-order interface models for thin layers and elastic material surfaces, enabled by isogeometric cut-cell methods, An immersed boundary hierarchical B-spline method for flexoelectricity, Weak imposition of frictionless contact constraints on automatically recovered high-order, embedded interfaces using the finite cell method, A Nitsche stabilized finite element method: application for heat and mass transfer and fluid-structure interaction, A note on the stability parameter in Nitsche's method for unfitted boundary value problems, A residual-driven local iterative corrector scheme for the multiscale finite element method, Mollified finite element approximants of arbitrary order and smoothness, Residual-Based Variational Multiscale Modeling in a Discontinuous Galerkin Framework, Immersogeometric analysis of compressible flows with application to aerodynamic simulation of rotorcraft, A stabilised immersed boundary method on hierarchical B-spline grids, Discontinuous Galerkin methods through the Lens of variational multiscale analysis, Implicit a posteriori error estimation in cut finite elements, Optimizing fluid-structure interaction systems with immersogeometric analysis and surrogate modeling: application to a hydraulic arresting gear, A stabilised immersed boundary method on hierarchical b-spline grids for fluid-rigid body interaction with solid-solid contact, A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans, A multiscale predictor/corrector scheme for efficient elastoplastic voxel finite element analysis, with application to CT-based bone strength prediction, Geometrically accurate, efficient, and flexible quadrature techniques for the tetrahedral finite cell method, Immersogeometric cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines, Embedded shell finite elements: solid-shell interaction, surface locking, and application to image-based bio-structures, An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems, A Nitsche stabilized finite element method for embedded interfaces: application to fluid-structure interaction and rigid-body contact
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
- Isogeometric collocation for elastostatics and explicit dynamics
- An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
- Weak imposition of the slip boundary condition on curved boundaries for Stokes flow
- Topology optimization using the finite cell method
- Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries
- Fluid-structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation
- Selecting the numerical flux in discontinuous Galerkin methods for diffusion problems
- A robust Nitsche's formulation for interface problems
- A three-dimensional coupled Nitsche and level set method for electrohydrodynamic potential flows in moving domains
- A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. I: Single interface
- Weak imposition of Dirichlet boundary conditions in fluid mechanics
- Fictitious domain approach with \(hp\)-finite element approximation for incompressible fluid flow
- A discontinuous \(hp\) finite element method for diffusion problems
- A discontinuous \(hp\) finite element method for convection-diffusion problems
- An overlapping domain technique coupling spectral and finite elements for fluid-structure interaction
- On the numerical integration of trimmed isogeometric elements
- Analysis in computer aided design: nonlinear isogeometric B-Rep analysis of shell structures
- Isogeometric collocation methods for the Reissner-Mindlin plate problem
- Isogeometric collocation for phase-field fracture models
- An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves
- Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- Smart octrees: accurately integrating discontinuous functions in 3D
- Shape optimisation with multiresolution subdivision surfaces and immersed finite elements
- High order unfitted finite element methods on level set domains using isoparametric mappings
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- Dynamic and fluid-structure interaction simulations of bioprosthetic heart valves using parametric design with T-splines and Fung-type material models
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- A fictitious domain/mortar element method for fluid-structure interaction
- A priori error estimate for the Baumann–Oden version of the discontinuous Galerkin method
- Multiresolution Shape Optimisation with Subdivision Surfaces
- A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes
- Embedded kinematic boundary conditions for thin plate bending by Nitsche's approach
- Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method
- Parameter-free, weak imposition of Dirichlet boundary conditions and coupling of trimmed and non-conforming patches
- A collocatedC0finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics
- Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry
- A unified approach for embedded boundary conditions for fourth-order elliptic problems
- 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
- An XFEM-based embedding mesh technique for incompressible viscous flows
- Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements
- A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- An efficient finite element method for embedded interface problems
- An embedded Dirichlet formulation for 3D continua
- A discontinuous-Galerkin-based immersed boundary method
- An unfitted finite element method using discontinuous Galerkin
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Isogeometric Analysis
- Analysis of a Nonsymmetric Discontinuous Galerkin Method for Elliptic Problems: Stability and Energy Error Estimates
- Symmetric and non-symmetric variants of Nitsche’s method for contact problems in elasticity: theory and numerical experiments
- An unfitted interior penalty discontinuous Galerkin method for incompressible Navier–Stokes two‐phase flow
- Stability and Conservation Properties of Collocated Constraints in Immersogeometric Fluid-Thin Structure Interaction Analysis
- A stabilized finite element method for generalized stationary incompressible flows