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math.NA2026
Stability, Convergence, and Error Analysis of Finite Element Methods for 3D Magnetohydrodynamics with -Laplacian Viscosity
Kim Ngan Le, Akash Ashirbad Panda, Evana Islam Sarkar
This paper develops a fully discrete finite element method for three-dimensional incompressible magnetohydrodynamic (MHD) flows with nonlinear -Laplace viscosity. The scheme com…
math.AP2026
Nonlocal Tikhonov Regularization: Hilbert Scales, Explicit Rates, and the Classical Limit
Debangana Mukherjee, Akash Ashirbad Panda
We study fractional-Sobolev Tikhonov regularization for linear inverse problems on a bounded Lipschitz domain. The regularization penalty is generated by the restricted Dirichlet f…