Publications

Publications 

Peer-Reviewed Journal Articles

1.  M. Hrizi, F. Hajji, R. Prakash, A. A. Novotny, "Reconstruction of a Singular Source in a Fractional Subdiffusion Problem from a Single Point Measurement'', Applied Mathematics and Optimization, Vol. 90, pp. 1-29, No. 40, 2024.

2. Antonio Corbo Esposito, Luisa Faella, Vincenzo Mottola, Gianpaolo Piscitelli, Ravi Prakash, Antonello Tamburrino, Piecewise Nonlinear Materials and Monotonicity Principle, Inverse Problems, Vol. 40, pp. 085001, No. 8, 2024.  

3.  Antonio Corbo Esposito, Luisa Faella, Gianpaolo Piscitelli, Vincenzo Mottola, Ravi Prakash, Antonello Tamburrino, The p_0-Laplace "Signature" for Quasilinear Inverse Problems, SIAM Journal on Imaging Sciences, Vol. 17, pp. 351-388, No. 1, 2024.  

4.  Antonio Corbo Esposito, Luisa Faella, Gianpaolo Piscitelli, Ravi Prakash, Antonello Tamburrino, The p-Laplace "Signature" for Quasilinear Inverse Problems with Large Boundary Data, SIAM Journal of Mathematical Analysis, Vol. 56, pp. 275-303, No. 1, 2024.

5.  M. Hrizi, Antonio André Novotny and Ravi Prakash, Reconstruction of the Source Term in a Time-Fractional Diffusion Equation from Partial Domain Measurement, Journal of Geometric Analysis, Vol. 33, pp. 1-30, No. 168, 2023. 

6.  Srinivasan Aiyappana, Giuseppe Cardone, Carmen Perugia and Ravi Prakash, Homogenization of a Nonlinear Monotone Problem in a Locally Periodic Domain via Unfolding Method, Nonlinear Analysis: Real World Applications, Vol. 66, pp. 103537, 2022. 

7.  Lucas dos Santos Fernandez and Ravi Prakash, Imaging of Small Penetrable Obstacles based on the Topological Derivative Method, Engineering Computations, Vol. 39, No. 1, pp. 201-231, 2022. 

8.  Ravi Prakash, M. Hrizi and Antonio André Novotny, A Noniterative Reconstruction Method for Solving a Time-Fractional Inverse Source Problem from Partial Boundary Measurements, Inverse Problems, Vol. 38, Nu. 1, Pages 015002 (2021). 

9.  Gianpaolo Piscitelli, Antonio Corbo Esposito, Luisa Faella, Ravi Prakash and Antonello Tamburrino, Monotonicity Principle for Nonlinear Electrical Conductivity Tomography, Inverse Problems, Vol 37, Nu. 4, pp 045012, 2021.

10.  Lucas dos Santos Fernandez, Antonio André Novotny, Ravi Prakash, Jan Sokolowski, Pollution Sources Reconstruction Based on the Topological Derivative Method, Applied Mathematics and Optimization, Vol 84, pages1493–1525, 2021.

11.  Lucas dos Santos Fernandez, Antonio André Novotny, Ravi Prakash, A noniterative reconstruction method for the inverse potential problem with partial boundary measurements, Mathematical Methods in the Applied Sciences,  Vol 42, Issue 7, pp. 2256-2278, 2019.

12.  Nandakumaran, A. K., Ravi Prakash and Srinivasan, A., Locally Periodic Unfolding Operator for Highly Oscillating Rough Domains, Annali di Matematica Pura ed Applicata (1923 -), 2019.

13.  Nandakumaran, A. K., Ravi Prakash and Srinivasan, A., Semi-Linear Optimal Control Problem in a Smooth Oscillating Domain, Communication in Contemporary Mathematics,  2019.

14.  Lucas dos Santos Fernandez, Antonio André Novotny and Ravi Prakash, Topological Asymptotic Analysis of an Optimal Control Problem Modeled by a Coupled System', Asymptotic Analysis, Vol. 109, pp.1-26, 2018.

15.  Mahadevan, R., Nandakumaran, A. K. and Ravi Prakash, Homogenization of an elliptic equation in a domain with oscillating boundary with non-homogeneous non-linear boundary conditions, Applied Mathematics and Optimization, (Published online: 10 May 2018), 2018.

16.  Nandakumaran, A. K., Ravi Prakash and Srinivasan, A., Generalization of Unfolding Operator for Highly Oscillating Smooth Boundary Domains and its Application to Homogenization, Calculus of Variations and Partial Differential Equations, (Published online: 04 May 2018), pp. 57-86, 2018.

17.  Lucas dos Santos Fernandez, Antonio André Novotny, Ravi Prakash, Noniterative Reconstruction Method for an Inverse Potential Problem Modeled by a Modified Helmholtz Equation, Numerical Functional Analysis and Optimization,(Published online: 20 Feb 2018), pp. 1-30, 2018. Nandakumaran, A. K., Ravi Prakash and Bidhan Chandra Sardar, Asymptotic analysis of Neumann periodic optimal boundary control problem, Mathematical Methods in the Applied Sciences, Vol. 39, No. 15, pp. 4354-4374, 2016.

18.  Nandakumaran, A. K., Ravi Prakash and Bidhan Chandra Sardar, Periodic Controls in an Oscillating Domain: Controls via Unfolding and Homogenization, SIAM Journal on Control and Optimization, Vol. 5, No. 5, pp. 3245-3269, 2015.

19.  Ravi Prakash and Bidhan Chandra Sardar, Homogenization of Boundary Optimal Control Problem in a Domain with Highly Oscillating Boundary via Periodic Unfolding Method, Nonlinear Studies-The International Journal, Vol. 22, No. 2, pp. 213-240, 2015.

20.  Ravi Prakash and Ali Sili, Asymptotic Behavior of the Solutions of a Degenerating Elliptic Equation in a Domain with Oscillating Boundary, Asymptotic Analysis, Vol. 90, No. 3-4, pp. 345-365, 2014.

21.  Nandakumaran, A. K., Ravi Prakash and J-P Raymond, Stokes' System in a Domain with Oscillating Boundary : Homogenization and Error Analysis of an Interior Optimal Control Problem, Numer. Funct. Anal. Optim., Vol. 35, No. 3, pp. 323-355, 2014.

22.  Nandakumaran, A. K., Ravi Prakash and Bidhan Chandra Sardar, Homogenization of an Optimal Control Problem in a Domain with Highly Oscillating Boundary using Periodic Unfolding Method, Mathematics in engineering, science and aerospace, Vol. 4, No. 3, pp. 229-251, 2013.

23.  Nandakumaran, A. K. and Ravi Prakash, Homogenization of Boundary Optimal Control Problems with Oscillating Boundary, Nonlinear Studies-The International Journal, Vol. 20, No. 3, pp. 401-425, 2013.

24. Ravi Prakash, Optimal Control Problem for the Time-Dependent Kirchhoff-Love Plate in a Domain with Rough Boundary, Asymptotic Analysis, Vol. 81, No. 3-4, pp. 337-355, 2013. 

25. Nandakumaran, A. K., Ravi Prakash and J-P Raymond, Asymptotic Analysis and Error Estimates for an Optimal Control Problem with Oscillating Boundaries, Annali dell' Universita di Ferrara, Volume 58, Issue 1, pp. 143-166, May 2012.

Conference Articles

1. Lucas dos Santos Fernandez, Antonio André Novotny, Ravi Prakash, Jan Sokolowski, A topological derivative-based method for the reconstruction of multiple pollution sources. In: CNMAC 2021 XL Congresso Nacional de Matemática Aplicada e Computacional, 2021, Campo Grande (MS). São Carlos (SP): SBMAC, 2021. v. 8.

2. Lucas dos Santos Fernandez, Ravi Prakash, A reconstruction method based on topological derivatives for an inverse problem modeled by the Helmholtz equation. In: CNMAC 2019 XXXIX Congresso Nacional de Matem ́atica Aplicada e Computacional, 2020, Uberlândia (MG). São Carlos (SP): SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional, 2019. v. 7.

3. Lucas dos Santos Fernandez, Antonio André Novotny, Ravi Prakash, Topological derivative method for an inverse problem modeled by the Schrödinger equation. In: CNMAC 2017 XXXVII Congresso Nacional de Matemática Aplicada e Computacional, 2018, São José dos Campos (SP). São Carlos (SP): SB-MAC, 2017. v. 6.

4. Lucas dos Santos Fernandez, Antonio André Novotny, Ravi Prakash, A topological derivative-based method for an inverse potential problem modeled by a modified Helmholtz equation. In: XXI Encontro Nacional de Modelagem Computacional e IX Encontro de Ciências e Tecnologia de Materiais, 2018, Búzios (RJ). Anais do XXI Encontro Nacional de Modelagem Computacional e IX Encontro de Ciências e Tecnologia de Materiais. Rio de Janeiro: Essentia Editora, 2018.

5. Lucas dos Santos Fernandez, Antonio André Novotny, Ravi Prakash, A topological derivative based method for an inverse problem modeled by the Helmholtz equation. In: XXXVIII IberianLatin American Congress on Computational Methods in Engineering, 2017, Florianopolis, 2017.