Convergence of a Second-Order Linearized BDF–IPDG for Nonlinear Parabolic Equations with Discontinuous Coefficients
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- 作者：Lunji Song ; Chaoxia Yang
- 关键词：Parabolic ; Nonlinear ; Interface ; Discontinuous Galerkin ; Interior penalty ; Anti ; symmetric ; Finite element ; BDF
- 刊名：Journal of Scientific Computing
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：70
- 期：2
- 页码：662-685
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Algorithms; Computational Mathematics and Numerical Analysis; Appl.Mathematics/Computational Methods of Engineering; Theoretical, Mathematical and Computational Physics;
- 出版者：Springer US
- ISSN：1573-7691
- 卷排序：70
文摘
We study the anti-symmetric interior over-penalized discontinuous Galerkin finite element methods for solving nonlinear parabolic interface problems with second-order backward difference formula for the time discretization, where the diffusion coefficient depends on the unknown solution and is discontinuous across the interface. We present optimal-order error estimates for the finite element solution based on piecewise regularity of the solution.