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Article overview
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Convergence of Adaptive Mixed Interior Penalty Discontinuous Galerkin Methods for H(curl)-Elliptic Problems | K. Liu
; M. Tang
; X. Q. Xing
; L. Q. Zhong
; | Date: |
4 Jan 2023 | Abstract: | In this paper, we study the convergence of adaptive mixed interior penalty
discontinuous Galerkin method for H(curl)-elliptic problems. We first get the
mixed model of H(curl)-elliptic problem by introducing a new intermediate
variable. Then we discuss the continuous variational problem and discrete
variational problem, which based on interior penalty discontinuous Galerkin
approximation. Next, we construct the corresponding posteriori error indicator,
and prove the contraction of the summation of the energy error and the scaled
error indicator. At last, we confirm and illustrate the theoretical result
through some numerical experiments. | Source: | arXiv, 2301.01439 | Services: | Forum | Review | PDF | Favorites |
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