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math.NA2024
Semi and fully-discrete analysis of lowest-order nonstandard finite element methods for the biharmonic wave problem
Neela Nataraj, Ricardo Ruiz-Baier, Aamir Yousuf
This paper discusses lowest-order nonstandard finite element methods for space discretization and explicit and implicit schemes for time discretization of the biharmonic wave equat…
math.NA2024
Lowest-order Nonstandard Finite Element Methods for Time-Fractional Biharmonic Problem
Shantiram Mahata, Neela Nataraj, Jean-Pierre Raymond
In this work, we consider an initial-boundary value problem for a time-fractional biharmonic equation in a bounded polygonal domain with a Lipschitz continuous boundary in $\mathbb…