A moving-mesh finite element method and its application to the numerical solution of phase-change problems

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Hubbard, M.E.; Baines, Michael; Jimack, P.K.; Mahmood, R.;
(2009)
  • Publisher: Global Science Press

A distributed Lagrangian moving-mesh finite element method is applied to problems involving changes of phase. The algorithm uses a distributed conservation principle to determine nodal mesh velocities, which are then used to move the nodes. The nodal values are obtained... View more
  • References (4)

    [1] Baines MJ, Hubbard ME, Jimack PK. A moving mesh nite element algorithm for the adaptive solution of time-dependent partial di erential equations with moving boundaries. Appl Numer Math, to appear.

    [2] Baines MJ, Hubbard ME, Jimack PK. A moving mesh nite element algorithm for uid ow problems with moving boundaries. Int J Numer Meth Fl, to appear.

    [3] Baines MJ, Hubbard ME, Jimack PK, Jones AC. Scale-invariant moving nite elements for nonlinear partial di erential equations in two dimensions. Appl Numer Math, submitted.

    [4] Murray JD, Mathematical Biology: An Introduction (3rd edition), Springer (2002).

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