Eulerian Finite Element Methods for Parabolic Equations on Moving Surfaces

DOI10.1137/130920095zbMath1296.65131OpenAlexW2075953562MaRDI QIDQ2875014

Jörg Grande

Publication date: 13 August 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://publications.rwth-aachen.de/search?p=id:%22RWTH-CONV-010543%22

zbMATH Keywords

parabolic partial differential equationsnumerical experimentstwo-phase flowsurfactantspace-time Galerkin methodsevolving surfaceEulerian finite element methods

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15) PDEs on manifolds (35R01)

Related Items (11)

A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces ⋮ An efficient collocation method for long-time simulation of heat and mass transport on evolving surfaces ⋮ A Trace Finite Element Method for PDEs on Evolving Surfaces ⋮ An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces ⋮ Numerical investigations on trace finite element methods for the Laplace-Beltrami eigenvalue problem ⋮ Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces ⋮ Kernel-based collocation methods for heat transport on evolving surfaces ⋮ An adaptive octree finite element method for PDEs posed on surfaces ⋮ An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces ⋮ A finite element method for Allen-Cahn equation on deforming surface ⋮ An Eulerian finite element method for PDEs in time-dependent domains

Uses Software

• DROPS

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