5 papers
Bilinearity Preserving Algebraic Flux Correction
Sarthak Sourav Dash, Abhinav Jha
Algebraic flux correction schemes for convection--diffusion--reaction equations rely on linearity preservation to avoid unnecessary artificial diffusion: the limiter is inactive wh…
Lyapunov Stability and Optimal Error Estimates for an SIPG Method for Weakly Damped Semilinear Wave Equations
Ajeet Singh, Abhinav Jha
We develop and analyze a fully discrete scheme for the weakly damped semilinear wave equation that combines a Symmetric Interior Penalty Discontinuous Galerkin (SIPG) spatial discr…
On the convergence of an adaptive denoiser driven iterative regularization with early stopping
Harshit Bajpai, Ankik Kumar Giri, Tim Jahn +1
Solving inverse problems requires appropriate regularization techniques to ensure well-posedness and stability. In recent years, denoiser-driven methods have emerged as effective r…
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…
Residual-Based a Posteriori Error Estimators for Algebraic Stabilizations
Abhinav Jha
In this note, we extend the analysis for the residual-based a posteriori error estimators in the energy norm defined for the algebraic flux correction (AFC) schemes [Jha20.CAMWA] t…