Space-time CutFEM on overlapping meshes. I: Simple continuous mesh motion
DOI10.1007/S00211-024-01417-8zbMATH Open1542.65112MaRDI QIDQ6562911
Mats G. Larson, Anders Logg, Carl Lundholm
Publication date: 27 June 2024
Published in: Numerische Mathematik (Search for Journal in Brave)
Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- A stabilized Nitsche fictitious domain method for the Stokes problem
- Analysis of a Nitsche XFEM-DG discretization for a class of two-phase mass transport problems
- Mathematical aspects of discontinuous Galerkin methods.
- A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
- A stabilized Nitsche overlapping mesh method for the Stokes problem
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- Multimesh finite element methods: solving PDEs on multiple intersecting meshes
- A unified stabilized method for Stokes' and Darcy's equations
- Stabilized explicit coupling for fluid-structure interaction using Nitsche's method
- 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)
- Trace finite element methods for PDEs on surfaces
- Space-time unfitted finite element methods for time-dependent problems on moving domains
- A finite element method on composite grids based on Nitsche's method
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains
- An Eulerian finite element method for PDEs in time-dependent domains
- Shape Optimization Using the Finite Element Method on Multiple Meshes with Nitsche Coupling
- $hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes
- A time dependent Stokes interface problem: well-posedness and space-time finite element discretization
- Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains
- Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations
- Space-time CutFEM on overlapping meshes. II: Simple discontinuous mesh evolution
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