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    Browsing School of Mathematics Faculty Publications by Subject "Level set method"

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      • Back and Forth Error Compensation and Correction Methods for Removing Errors Induced by Uneven Gradients of the Level Set Function 

        Dupont, Todd F.; Liu, Yingjie (Georgia Institute of Technology, 2002)
        We propose a method that signi cantly improves the accuracy of the level set method and could be of fundamental importance for numerical solutions of di fferential equations in general. Level set method uses the level set ...
      • Back and Forth Error Compensation and Correction Methods for Semi-Lagranging Schemes with Application to Interface Computation Using Level Set Method 

        Dupont, Todd F.; Liu, Yingjie (Georgia Institute of Technology, 2004)
        Semi-Lagranging schemes have been explored by several authors recently for transport problems in particular for moving interfaces using level set method. We incorporate the backward error compensation method developed in ...
      • A Backward Point Shifted Levelset Method for Highly Accurate Interface Computation 

        Liu, Yingjie (Georgia Institute of Technology, 2002)
        We propose a technique that could significantly improve the accuracy of the levelset method and has the potential for fully conservative treatment. Level set method uses the levelset function, usually an approximate signed ...

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