A reduced finite element formulation for space fractional partial differential equation
This work addresses the computational cost of solving space fractional PDEs, offering a more efficient approach for researchers in numerical analysis.
The authors apply proper orthogonal decomposition to a finite element formulation for space fractional PDEs, creating a reduced model that significantly lowers computational complexity. Numerical experiments confirm the algorithm's effectiveness.
Applying proper orthogonal decomposition to a usual finite element (FE) formulation for space fractional partial differential equation, we get a reduced FE model, which greatly reduces the complexity of computation. Then, the stability analysis and error estimate for the reduced model are presented. Finally, we verify the effectiveness of the algorithm by numerical experiments.