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IMA Journal of Applied Mathematics 1978 22(4):467-477; doi:10.1093/imamat/22.4.467
© 1978 by Institute of Mathematics and its Applications
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A Finite Element Moving Boundary Computation with an Adaptive Mesh

J. V. MILLER, K. W. MORTON and M. J. BAINES

Department of Mathematics, University of Reading Reading

The finite element method is used to obtain an accurate approximation to the solution of a well-known moving boundary problem. The algorithm uses the projective nature of the approximate solution to follow the movement of the boundary, and the element notes are adapted as the region of the solution changes.


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