Authors: Cheng-Yi Tian, Yan Shi, and LongLi
Source: FERMAT, Volume 17, Communication 6, Sep-Oct, 2016
Abstract: 1. A low storage scheme based on the universal matrices is developed for the discontinuous Galerkin time-domain method (DGTD). The proposed method can reduce the memory consumption dramatically with an acceptable raise in CPU time cost.
2. The weighted Laguerre polynomials (WLP) scheme is integrated into the DGTD, thus leading to an unconditionally stable computational method. The resulted system uses the WLP as the temporal base and can be solved through many direct/iterative sparse linear system solvers. The WLP-DGTD method is suitable for the multi-scale simulations and eliminate the late-time instability of UPML in the DGTD method.
3. Boundary Integral Method is combined with the WLP-DGTD method, and the computational accuracy versus mesh size and penalty factor is studied.
Keyword: universal matrices, weighted Laguerre polynomial, unconditionally stable, boundary integral method, multi-scale problem
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Unconditionally Stable Laguerre Polynomial-Based Discontinuous Galerkin Time-Domain Method