CutFEM Method for Stefan--Signorini Problems with Application in Pulsed Laser Ablation
DOI10.1137/18M1185697zbMath1398.76098arXiv1805.01925OpenAlexW2963369528WikidataQ129044221 ScholiaQ129044221MaRDI QIDQ4553784
Pierre Kerfriden, Samuel Bigot, Susanne Claus
Publication date: 31 October 2018
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.01925
Stefan problemNitsche's methodlaser ablationCutFEMpulsed laser ablationSignorini lawStefan-Signorini-Nitsche formulation
Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
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- An enrichment scheme for solidification problems
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Numerical modeling of corrosion pit propagation using the combined extended finite element and level set method
- Ghost penalty
- A Newton method with adaptive finite elements for solving phase-change problems with natural convection
- A Stefan-Signorini problem
- Unilateral conditions modelling the cut front during plasma cutting: FEM solution
- Modelling dendritic solidification with melt convection using the extended finite element method
- A new fatigue frictional contact crack propagation model with the coupled X-FEM/LATIN method
- An implicit enthalpy solution for phase change problems: with application to a binary alloy solidification
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Numerical modeling of ablations phenomena as two-phase Stefan problems
- Numerical study of solid-liquid phase change by phase field method
- Stefan problem through extended finite elements: review and further investigations
- Solving thermal and phase change problems with the extended finite element method
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- Crack face contact for a hexahedral-based XFEM formulation
- A cut finite element method for coupled bulk-surface problems on time-dependent domains
- A modified perturbed Lagrangian formulation for contact problems
- A finite element based level set method for two-phase incompressible flows
- A three-scale domain decomposition method for the 3D analysis of debonding in laminates
- A finite element method for the simulation of strong and weak discontinuities in solid mechanics
- Deriving robust unfitted finite element methods from augmented Lagrangian formulations
- An overview of recent results on Nitsche's method for contact problems
- Penalty-free Nitsche method for interface problems
- A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis
- Stabilized global-local X-FEM for 3D non-planar frictional crack using relevant meshes
- CutFEM: Discretizing geometry and partial differential equations
- On the control of the load increments for a proper description of multiple delamination in a domain decomposition framework
- Numerical Methods for Two-phase Incompressible Flows
- Optimal Control of the Classical Two-Phase Stefan Problem in Level Set Formulation
- A mixed augmented Lagrangian-extended finite element method for modelling elastic–plastic fatigue crack growth with unilateral contact
- A combined extended finite element and level set method for biofilm growth
- The extended finite element method (XFEM) for solidification problems
- The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem
- A finite element method for crack growth without remeshing
- Symmetric and non-symmetric variants of Nitsche’s method for contact problems in elasticity: theory and numerical experiments
- An extended finite element method for modeling crack growth with frictional contact.
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