Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains
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Publication:5889342
DOI10.1137/22M1476034OpenAlexW4361223534MaRDI QIDQ5889342
Fabian Heimann, Christoph Lehrenfeld, Janosch Preuß
Publication date: 20 April 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.02216
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical integration (65D30) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)
Uses Software
Cites Work
- Unnamed Item
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Optimal preconditioners for Nitsche-XFEM discretizations of interface problems
- Ghost penalty
- Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
- Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
- Numerical integration on hyperrectangles in isoparametric unfitted finite elements
- Variational time discretizations of higher order and higher regularity
- Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains
- A hybrid semi-Lagrangian cut cell method for advection-diffusion problems with Robin boundary conditions in moving domains
- A cut finite element method for coupled bulk-surface problems on time-dependent domains
- Computational modeling of cardiac hemodynamics: current status and future outlook
- High order unfitted finite element methods on level set domains using isoparametric mappings
- Trace finite element methods for PDEs on surfaces
- A space-time cut finite element method with quadrature in time
- Higher order Galerkin-collocation time discretization with Nitsche's method for the Navier-Stokes equations
- Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs
- CutFEM: Discretizing geometry and partial differential equations
- The extended/generalized finite element method: An overview of the method and its applications
- Numerical Methods for Two-phase Incompressible Flows
- The Nitsche XFEM-DG Space-Time Method and its Implementation in Three Space Dimensions
- Time discretization of parabolic problems by the discontinuous Galerkin method
- Continuous Finite Elements in Space and Time for the Heat Equation
- Analysis of a high-order unfitted finite element method for elliptic interface problems
- Galerkin–collocation approximation in time for the wave equation and its post-processing
- An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains
- Isoparametric Unfitted BDF--Finite Element Method for PDEs on Evolving Domains
- A Fourth-Order Unfitted Characteristic Finite Element Method for Solving the Advection-Diffusion Equation on Time-Varying Domains
- An Eulerian finite element method for PDEs in time-dependent domains
- A priori error analysis for finite element approximations of the Stokes problem on dynamic meshes
- An arbitrary Lagrangian-Eulerian computing method for all flow speeds
