Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations

@article{Huang2022EfficientEI,
  title={Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations},
  author={Jianguo Huang and Lili Ju and Yu Tang Xu},
  journal={ArXiv},
  year={2022},
  volume={abs/2209.11922}
}
In this paper, we propose an e ffi cient exponential integrator finite element method for solving a class of semilinear parabolic equations in rectangular domains. The proposed method first performs the spatial discretization of the model equation using the finite element approximation with continuous multilinear rectangular basis functions, and then takes the explicit exponential Runge-Kutta approach for time integration of the resulting semi-discrete system to produce fully-discrete numerical… 

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