Error estimates of fictitious domain method with an $$H^1$$ penalty approach for elliptic problems. - Swapnil Kale; Debasish Pradhan (Comput. Appl. Math., 2022)

An augmented interface approach in fictitious domain methods. - Swapnil Kale; Debasish Pradhan (Comput. Math. Appl., 2022)

On the finite difference method with penalty for numerical solution of PDEs over curved domains. - Swapnil Kale; Debasish Pradhan; Madhusmita Tripathy (J. Appl. Math. Comput., 2024)

Analysis of H1 penalized fictitious domain method for parabolic problems. - Swapnil Kale; Debasish Pradhan; Sarvesh Kumar (Comput. Math. Appl., 2025)