Nitsche's method for interface problems in computa-tional mechanics

From MaRDI portal
Publication:3602780

DOI10.1002/gamm.201490018zbMath1179.65147OpenAlexW1512716347MaRDI QIDQ3602780

Peter Hansbo

Publication date: 12 February 2009

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/gamm.201490018



Related Items

Enriched gradient recovery for interface solutions of the Poisson-Boltzmann equation, A Variable Time Step Time Filter Algorithm for the Geothermal System, An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure, Nitsche's finite element method for model coupling in elasticity, A loosely-coupled scheme for the interaction between a fluid, elastic structure and poroelastic material, Numerical Approximation of Large Contrast Problems with the Unfitted Nitsche Method, Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow, Dimensionally reduced flow models in fractured porous media: crossings and boundaries, An evolutionary system for exploitation of fractured geothermal reservoirs, Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems, A Unified Simulation Framework for Fluid–Structure–Control Interaction Problems with Rigid and Flexible Structures, A gluing method for non-matching meshes, The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models, A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier-Stokes equations, An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes, Hybrid coupling of CG and HDG discretizations based on Nitsche's method, Nitsche's method for non-conforming multipatch coupling in hyperelastic isogeometric analysis, Simulation of Flow in Fractured Poroelastic Media: A Comparison of Different Discretization Approaches, Immersed boundary-conformal isogeometric method for linear elliptic problems, High-order extended finite element methods for solving interface problems, A stabilized finite element method for the Stokes-Stokes coupling interface problem, Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation, A numerical method for finite-strain mechanochemistry with localised chemical reactions treated using a Nitsche approach, Nitsche's method for finite deformation thermomechanical contact problems, Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures, A finite element method for high-contrast interface problems with error estimates independent of contrast, 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, CutFEM: Discretizing geometry and partial differential equations, A face-oriented stabilized Nitsche-type extended variational multiscale method for incompressible two-phase flow, Mortaring for linear elasticity using mixed and stabilized finite elements, A non‐iterative domain decomposition method for the interaction between a fluid and a thick structure, Multiphysics mixed finite element method with Nitsche's technique for Stokes‐poroelasticity problem, A non‐conforming finite element formulation for modeling compressible viscous fluid and flexible solid interaction, A parallel and adaptative Nitsche immersed boundary method to simulate viscous mixing, Incremental displacement-correction schemes for incompressible fluid-structure interaction. Stability and convergence analysis, Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method, On the necessity of Nitsche term. II: An alternative approach, Residual a posteriori error estimation for frictional contact with Nitsche method, Well-posedness and finite element approximation for the steady-state closed-loop geothermal system, A CutFEM method for phase change problems with natural convection, Gradient recovery for elliptic interface problem. III: Nitsche's method, Coupling schemes for incompressible fluid-structure interaction: implicit, semi-implicit and explicit, Finite element solvers for Biot's poroelasticity equations in porous media, The Nitsche method applied to a class of mixed-dimensional coupling problems, A Coupled Multiphysics Model and a Decoupled Stabilized Finite Element Method for the Closed-Loop Geothermal System, Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries, Explicit Robin-Neumann schemes for the coupling of incompressible fluids with thin-walled structures, A control problem approach to Coulomb's friction, Numerical procedure to couple shell to solid elements by using Nitsche's method, Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility, Robust modelling of implicit interfaces by the scaled boundary finite element method, Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche's coupling approach, Isogeometric multi-patch analyses for mixed thin shells in the framework of non-linear elasticity, Consistent immersed volumetric Nitsche methods for composite analysis, Modeling flow in porous media with double porosity/permeability: a stabilized mixed formulation, error analysis, and numerical solutions, Skew-symmetric Nitsche's formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact, Skeleton-stabilized immersogeometric analysis for incompressible viscous flow problems, A variational multiscale immersed meshfree method for heterogeneous materials, A stabilized finite element method for enforcing stiff anisotropic cohesive laws using interface elements, A contact algorithm for voxel-based meshes using an implicit boundary representation, A Radial Basis Function Meshless Numerical Method for Solving Interface Problems in Irregular Domains, Block coordinate descent energy minimization for dynamic cohesive fracture, Optimal preconditioners for Nitsche-XFEM discretizations of interface problems, A partition of unity finite element method for computational diffusion MRI, Weak Dirichlet boundary conditions for trimmed thin isogeometric shells, A NURBS-based finite cell method for structural topology optimization under geometric constraints, An Immersed Meshfree Galerkin Approach for Particle-Reinforced Composite Analysis, Non-matching mesh gluing by meshless interpolation—an alternative to Lagrange multipliers, Nitsche's method for a transport problem in two-phase incompressible flows, An adaptation of Nitsche's method to the Tresca friction problem, A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems, A multimesh finite element method for the Navier-Stokes equations based on projection methods, On the necessity of Nitsche term, Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual-porosity-Navier-Stokes model, A cut finite element method for a Stokes interface problem, A combined XFEM phase-field computational model for crack growth without remeshing, An unconditionally stable semi-implicit CutFEM for an interaction problem between an elastic membrane and an incompressible fluid, Refactorization of Cauchy's method: a second-order partitioned method for fluid-thick structure interaction problems, Mortar finite elements for a heat transfer problem on sliding meshes, Nitsche's method for a coupling of isogeometric thin shells and blended shell structures, A stabilized Nitsche overlapping mesh method for the Stokes problem, A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. I: Single interface, High-order finite element methods for interface problems: theory and implementations, Stability and Convergence Analysis of the Extensions of the Kinematically Coupled Scheme for the Fluid-Structure Interaction, A cut finite-element method for fracture and contact problems in large-deformation solid mechanics, Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates, A cut finite element method for the Bernoulli free boundary value problem, Uniform boundary observability with Legendre-Galerkin formulations of the 1-D wave equation, A fictitious domain approach for a mixed finite element method solving the two-phase Stokes problem with surface tension forces, Corrected finite element methods on unfitted meshes for Stokes moving interface problem, Weakly imposed Dirichlet boundary conditions for 2D and 3D virtual elements, Adaptive refinement for phase-field models of brittle fracture based on Nitsche's method, Comparison of current methods for implementing periodic boundary conditions in multi-scale homogenisation, A Nitsche finite element method for dynamic contact: 1. Space semi-discretization and time-marching schemes, A Next-Generation Mathematical Model for Drug-Eluting Stents, Towards the algorithmic treatment of 3D strong discontinuities, A full discretization of a time-dependent closed-loop geothermal system by a two-grid scheme, Time-adaptive partitioned method for fluid-structure interaction problems with thick structures



Cites Work