Ian Sobey - Research Interests

Moving Finite Elements


This work has been in collaboration with Abigail Wacher (formerly Oxford) and Keith Miller (Berkeley). Abigail extended Keith's work by developing an idea he described some time ago, that of string gradient weighted moving finite elements. The string formulation, while not appearing to have great computational advantages over Keith's original gradient weighted method, can be easily implemented in very general circumstances. See

  • 2005 A. Wacher, I. Sobey & K. Miller `String gradient weighted moving finite elements' International Journal for Numerical Methods in Fluids 47: 1329-1336

    and

  • 2007 A. Wacher & I. Sobey `String gradient weighted moving finite elements in multiple dimensions with applications in two dimensions' SIAM Journal on Scientific Computing 29, pages 459-480

    for more details.


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