Zheng Ye

  1. Computation Electromagnetism and Discrete Exterior Calculus.

    Authors: Zheng Xie, Zheng Ye, Yujie Ma
    Subjects: Numerical Analysis
    Abstract

    Computational electromagnetism is concerned with the numerical study of
    Maxwell equations. By choosing a discrete Gaussian measure on prism lattice, we
    use discrete exterior calculus and lattice gauge theory to construct discrete
    Maxwell equations in vacuum case. We implement this scheme on Java development
    plateform to simulate the behavior of electromagnetic waves.

  2. Computational Electromagnetism and Implicit Discrete Exterior Calculus.

    Authors: Zheng Xie, Zheng Ye, Yujie Ma
    Subjects: Numerical Analysis
    Abstract

    Implicit discrete exterior calculus technique for Maxwell's equations in time
    domain is discussed, which provide flexibility in numerical computing Maxwell's
    equations on manifold. The implicit scheme and discrete exterior calculus can
    be united to find an unconditional stable approach, which is obtained by
    properly defining a discrete Hodge star operator. The algorithm has been
    implemented on Java development plateform.

  3. Computational Electromagnetism and Implicit Discrete Exterior Calculus.

    Authors: Zheng Xie, Zheng Ye, Yujie Ma
    Subjects: Numerical Analysis
    Abstract

    Implicit discrete exterior calculus technique for Maxwell's equations in time
    domain is discussed, which provide flexibility in numerical computing Maxwell's
    equations on manifold. The implicit scheme and discrete exterior calculus can
    be united to find an unconditional stable approach, which is obtained by
    properly defining a discrete Hodge star operator. The algorithm has been
    implemented on Java development plateform.

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