3 papers
math.NA2026
Non-uniform -Robust Alikhanov Mixed FEM with Optimal Convergence for the Time-Fractional Allen--Cahn Equation
Abhinav Jha, Samir Karaa, Aditi Tomar
We investigate a mixed finite element method for the spatial discretization of a time-fractional Allen--Cahn equation defined on a convex polyhedral domain, combined with a nonunif…
math.NA2024
On a Non-Uniform -Robust IMEX-L1 Mixed FEM for Time-Fractional PIDEs
Lok Pati Tripathi, Aditi Tomar, Amiya K. Pani
A non-uniform implicit-explicit L1 mixed finite element method (IMEX-L1-MFEM) is investigated for a class of time-fractional partial integro-differential equations (PIDEs) with spa…
math.NA2023
Optimal error analysis of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs
Aditi Tomar, Lok Pati Tripathi, Amiya K. Pani
Stability and optimal convergence analysis of a non-uniform implicit-explicit L1 finite element method (IMEX-L1-FEM) is studied for a class of time-fractional linear partial differ…