6 citations · 7 across the 8 of their papers we have counts for
8 papers
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…
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…
Least Square Estimation: SDEs Perturbed by Lévy Noise with Sparse Sample Paths
Brijesh Kumar Jha, Subhra Sankar Dhar, Akash Ashirbad Panda
This article investigates the least squares estimators (LSE) for the unknown parameters in stochastic differential equations (SDEs) that are affected by Lévy noise, particularly wh…
Higher order time discretization for the stochastic semilinear wave equation with multiplicative noise
Xiaobing Feng, Akash Ashirbad Panda, Andreas Prohl
In this paper, a higher-order time-discretization scheme is proposed, where the iterates approximate the solution of the stochastic semilinear wave equation driven by multiplicativ…
The stochastic Gierer-Meinhardt system
Erika Hausenblas, Akash Ashirbad Panda
The Gierer-Meinhardt system occurs in morphogenesis, where the development of an organism from a single cell is modelled. One of the steps in the development, is the formation of s…
Existence of weak martingale solution of Nematic Liquid Crystals driven by Pure Jump Noise
Zdzisław Brzeźniak, Utpal Manna, Akash A. Panda
In this work we consider a stochastic evolution equation which describes the system governing the nematic liquid crystals driven by a pure jump noise. The existence of a martingale…