Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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UNIFORM MESH METHOD FOR A MAXWELL'S EQUATION WITH DISCONTINUOUS COEFFICIENTS

  • KIM, JI HYUN (Department of Mathematics, Hannam University)
  • Received : 2018.09.23
  • Accepted : 2018.11.28
  • Published : 2019.01.30
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Abstract

In this paper, we introduce a uniform mesh method for a Maxwell's equation with discontinuous coefficients. We observe optimal O(h) order for the electric field and O(h) order for the curl.

Keywords

E1MCA9_2019_v37n1_2_123_f0001.png 이미지

FIGURE 1. Interface elements and subtriangles.

E1MCA9_2019_v37n1_2_123_f0002.png 이미지

FIGURE 3. Numerical solution.

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FIGURE 2. A reference interface triangle.

TABLE 1. Error for Example 4.1

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TABLE 2. Error for Example 4.2

E1MCA9_2019_v37n1_2_123_t0002.png 이미지

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