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A fast solver for spectral elements applied to fractional differential equations using hierarchical matrix approximation
Xianjuan Li, Zhiping Mao, Nan Wang, Fangying Song, Hong Wang and George Em Karniadakis Computer Methods in Applied Mechanics and Engineering 366 113053 (2020) https://doi.org/10.1016/j.cma.2020.113053
Least-Squared Mixed Variational Formulation Based on Space Decomposition for a Kind of Variable-Coefficient Fractional Diffusion Problems
Yuri Dimitrov, Ivan Dimov and Venelin Todorov Studies in Computational Intelligence, Advanced Computing in Industrial Mathematics 793 77 (2019) https://doi.org/10.1007/978-3-319-97277-0_7
A Spectral Penalty Method for Two-Sided Fractional Differential Equations with General Boundary Conditions
Nan Wang, Zhiping Mao, Chengming Huang and George Em Karniadakis SIAM Journal on Scientific Computing 41(3) A1840 (2019) https://doi.org/10.1137/18M1200142
Spectral element method with geometric mesh for two-sided fractional differential equations
Second-order numerical methods for multi-term fractional differential equations: Smooth and non-smooth solutions
Fanhai Zeng, Zhongqiang Zhang and George Em Karniadakis Computer Methods in Applied Mechanics and Engineering 327 478 (2017) https://doi.org/10.1016/j.cma.2017.08.029
A Mixed Finite Element Formulation for the Conservative Fractional Diffusion Equations