String Gradient Weighted Moving Finite Elements for Systems of Partial Differential Equations

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Moving finite element methods resolve regions containing steep gradients using a manageable number of moving nodes. One such implementation is Gradient Weighted Moving Finite Elements (GWMFE). When applied to a single PDE with one space variable x, the solution u(x,t), is viewed as an evolving parameterized manifold. Miller (1997) derived the "normal motion" of the manifold in [x,u] space and discretised in space by making the manifold piecewise linear. For systems of PDEs, he used a separate...

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Authors: Wacher, A; Sobey, I; Miller, K

• Publisher: Unspecified
• Publication date: 2003-11-01