A Velocity-based Moving Mesh Virtual Element Method

  title={A Velocity-based Moving Mesh Virtual Element Method},
  author={H. Wells and Matthew E. Hubbard and Andrea Cangiani},
We present a velocity-based moving mesh virtual element method for the numerical solution of PDEs involving moving boundaries. The virtual element method is used for computing both the mesh velocity and a conservative Arbitrary Lagrangian-Eulerian solution transfer on general polygonal meshes. The approach extends the linear finite element method to polygonal mesh structures, achieving the same degree of accuracy. In the context of moving meshes, a ma-jor advantage of the virtual element… 
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  • G. Vacca
  • Computer Science, Mathematics
    Comput. Math. Appl.
  • 2017