首页|Nitsche-XFEM for a time fractional diffusion interface problem

Nitsche-XFEM for a time fractional diffusion interface problem

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In this paper,we propose a space-time finite element method for a time fractional diffusion interface problem.This method uses the low-order discontinuous Galerkin(DG)method and the Nitsche extended finite element method(Nitsche-XFEM)for temporal and spatial discretization,respectively.Sharp pointwise-in-time error estimates in graded temporal grids are derived,without any smoothness assumptions on the solution.Finally,three numerical examples are provided to verify the theoretical results.

fractional diffusioninterfacediscontinuous GalerkinNitsche-XFEMerror estimates

Tao Wang、Yanping Chen

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China Nuclear Power Technology Research Institute Co.Ltd.,Shenzhen 518028,China

School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China

中国博士后科学基金国家自然科学基金重点项目国家自然科学基金国家自然科学基金

2019M662947119310034197413312126325

2024

中国科学:数学(英文版)
中国科学院

中国科学:数学(英文版)

CSTPCD
影响因子:0.36
ISSN:1674-7283
年,卷(期):2024.67(3)
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