Abstract:We introduce an unfitted finite element method with Lagrange-multipliers to study an Eulerian timestepping scheme for moving domain problems applied to a model problem where the domain motion is implicit to the problem. We consider the heat equation as the partial differential equation (PDE) in the bulk domain, and the domain motion is described by an ordinary differential equation (ODE), coupled to the bulk partial differential equation through the transfer of forces at the moving interface. The discretisatio… Show more
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