An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces
DOI10.1016/j.camwa.2023.06.040arXiv2212.12030OpenAlexW4385128120MaRDI QIDQ6052337
Publication date: 21 September 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.12030
space-time finite element methodsurface partial differential equationtrace finite element methodunfitted finite element method
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Elliptic equations on manifolds, general theory (58J05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
- On a BPX-preconditioner for P1 elements
- NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
- Elliptic partial differential equations of second order
- A cut finite element method for coupled bulk-surface problems on time-dependent domains
- High order unfitted finite element methods on level set domains using isoparametric mappings
- Characteristic cut finite element methods for convection-diffusion problems on time dependent surfaces
- A space-time cut finite element method with quadrature in time
- Eulerian Finite Element Methods for Parabolic Equations on Moving Surfaces
- Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces
- Analysis of Highly Accurate Finite Element Based Algorithms for Computing Distances to Level Sets
- Numerical Methods for Two-phase Incompressible Flows
- Finite element methods for the Laplace–Beltrami operator
- An h-narrow band finite-element method for elliptic equations on implicit surfaces
- High-order evolving surface finite element method for parabolic problems on evolving surfaces
- A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces
- Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces
- A cut discontinuous Galerkin method for the Laplace–Beltrami operator
- $L^2$-estimates for the evolving surface finite element method
- A Parametric Finite Element Method for Solid-State Dewetting Problems in Three Dimensions
- An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces
- Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
- Finite element methods for surface PDEs
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