Adaptive Finite Element Methods, Evolution Problems with Memory, Inverse problems, Method of Fundamental Solutions, PDEs with randomness, Parabolic interface Problems, Perspective 3-point Problem, Plant Biotechnology
Birla Institute of Technology & Science, Pilani Hyderabad Campus Jawahar Nagar, Kapra Mandal Dist.-Medchal-500 078 Telangana, India
IEEE Transactions on Pattern Analysis and Machine Intelligence
Applied Numerical Mathematics, Elsevier
International journal of Computer Mathematics, Taylor & Francis
Inverse Problems in Science and Engineering, Taylor & Francis
Mathematical Reviews, American Mathematical Society
Computational & Applied Mathematics, Springer
Mathematical Problems in Engineering, Hindawi
Other Activities
Member of Departmental Research Committee in the department of Mathematics of Chaitanya Bharathi Institute of Technology (CBIT), affiliated to Osmania University(2021-present)
Guest Editor for Early Stage Researchers' journal, Special Issue, 2019.
Institutional Activities
Member of Departmental Research Committee (2020-present)
FD 2021 Admission Duty
Convener of International Conference on Computational Methods in Sciences and Engineering (CMSE-2022), April 22-24, Dept. of Mathematics, BITS-Pilani, Hyderabad Campus
Convocation Duty for 2021-2022 at BITS-Pilani, Hyderabad Campus
Registration Advisor for Ph.D. admissions at BITS-Pilani, Hyderabad Campus, First Semester 2022-2023
Co-ordinator for the Third year Student-Faculty Council for the Second Semester 2021-22, First Semester 2022-23
Industrial Study Groups
L. Resende, M. B. Rodrigues, B. L. D. Paula, R. D. L. Sterza, G. Valderramos, B. L. Carreira, F. R. Neto, L. B. Berlandi, W. Casaca, M. Souza, A. C. Filho, M. Colnago, C. Oishi, G. M. M. Reddy, E. X. Miqueles and J. A. Cuminato,Inpainting of corrupted projections, Brazilian Study Group with Industry, São Carlos, Brazil, 16-20 July 2018.
J. A. Cuminato, C. S. B. Dias, A. L. Z. Lunkes, E. Miqueles, G. M. M. Reddy, M. Souza, J. Vieira and Michael Vynnycky, Divergent Beam Transform from a ∂-equation, Brazilian Study Group with Industry, São Carlos, Brazil, 10-14 July 2017.
A. Jaramillo, C. Lages, C. Oishi, D. Medeiros, D. Rodrigues, E. Falcetti, F. Villanueva, F. Sousa, G. Buscaglia, G. Marcondes, G. D. Paulo, G. M. M. Reddy, H. França, H. Checo, I. Palhares, J. Neyra, J. Evans, J. Ansoni, J. Cuminato, L. F. D. Souza, P. Aquino, R. Guiraldello, S. Sanchez and Vitor Pires, Improvement of a heat sink design, Brazilian Study Group with Industry, São Carlos, Brazil, 11-15 July 2016.
A. Marto, A. Takata, A. Gabriel, C. Lages, C. Oishi, F. Sousa, F. Profito, F. Neto, G. M. M. Reddy, G. Buscaglia, H. Gadelha, H. Silva, J. Evans, J. Cuminato, P. Milewski, R. Guiraldello, R. Larsson, R. Sampaio, R. Ausas, R. Palharini, S. Hussain, S. Jakobsson, S. Sanchez, V. Pires, V. Ruas and W. Ashraf, Process modelling of short fibre structural composites, Brazilian Study Group with Industry, São Carlos, Brazil, 08-11 September 2015.
Awards and Grants
2022 MATRICSGrant, SERB, Govt. of India (Grant number-MTR/2022/000130)
2022 Cooperative Research Project of Research Center for Biomedical Engineering:Japan (Grant number- 2038)
2020 SRG Grant, SERB, Govt. of India (Grant number-SRG/2019/001973)
2016 FAPESP Post Doctoral Fellowship, Brazil (Grant number-2016/19648-9)
2016 CNPq Post Doctoral Fellowship, Brazil (Grant number 400169/2014-2)
2015 NBHM Post Doctoral Fellowship, DAE, Govt. of India (Did Not Avail Due to CNPq Fellowship)
2014 CNPq Post Doctoral Fellowship, Brazil (Grant number 401945/2012-0)
2009 CSIR-JRF (All India Rank 90)
2008 GATE Scholarship (All India Rank 64)
2006 JAM (All India Rank 174)
Software
Software for PIDE (In collaboration with KTH Royal Institute of Technology, Sweden, University of Limerick, Ireland, and University of São Paulo, Brazil)
DESCRIPTION: Although two-dimensional (2D) parabolic integro-differential equations (PIDEs) arise in many physical contexts, there is no generally available software that is able to solve them numerically. To remedy this situation, in this article, we provide a compact implementation for solving 2D PIDEs using the finite element method (FEM) on unstructured grids. Piecewise linear finite element spaces on triangles are used for the space discretization, whereas the time discretization is based on the backward-Euler and the Crank–Nicolson methods. The quadrature rules for discretizing the Volterra integral term are chosen so as to be consistent with the time-stepping schemes; a more efficient version of the implementation that uses a vectorization technique in the assembly process is also presented. The compactness of the approach is demonstrated using the software Matrix Laboratory (MATLAB). The efficiency is demonstrated via a numerical example on an L-shaped domain, for which a comparison is possible against the commercially available finite element software COMSOL Multiphysics. Moreover, further consideration indicates that COMSOL Multiphysics cannot be directly applied to 2D PIDEs containing more complex kernels in the Volterra integral term, whereas our method can. Consequently, the subroutines we present constitute a valuable open and validated resource for solving more general 2D PIDEs.