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math.NA2024
Error Inhibiting Methods for Finite Elements
Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
Finite Difference methods (FD) are one of the oldest and simplest methods for solving partial differential equations (PDE). Block Finite Difference methods (BFD) are FD methods in…
math.NA2024
Error Inhibiting Methods for Finite Elements
Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
Finite Difference methods (FD) are one of the oldest and simplest methods for solving partial differential equations (PDE). Block Finite Difference methods (BFD) are FD methods in…
math.NA2024
A high order, block finite difference, error inhibiting scheme for the transport equation
Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
We propose a block finite difference, error inhibiting scheme that is fourth-order accurate for short to moderate times and has a six-order convergence rate for long times. This sc…