5k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Birla Institute of Technology and Science, PilaniIN126 papers
- Homi Bhabha National InstituteIN13 papers
- Saha Institute of Nuclear PhysicsIN11 papers
- GLA UniversityIN10 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- University of CoimbraPT8 papers
- Charotar University of Science and TechnologyIN7 papers
- Indian Institute of Science BangaloreIN7 papers
- Indian Institute of Science Education and Research KolkataIN7 papers
- Indian Institute of AstrophysicsIN5 papers
- Massachusetts Institute of TechnologyUS5 papers
- Microsoft Research (India)IN5 papers
10 papers · 1 filter
Robust stability and preconditioning of Darcy-Forchheimer equations
Rishi Das, Harsha Hutridurga, Amiya K. Pani +1
We derive parameter-robust quasi-optimal error estimates for mixed finite element methods for the nonlinear Darcy--Forchheimer equations with mixed boundary conditions. Using the f…
On a Non-Uniform -Robust IMEX-L1 Mixed FEM for Time-Fractional PIDEs
Lok Pati Tripathi, Aditi Tomar, Amiya K. Pani
A non-uniform implicit-explicit L1 mixed finite element method (IMEX-L1-MFEM) is investigated for a class of time-fractional partial integro-differential equations (PIDEs) with spa…
Convergence of a steepest descent algorithm in shape optimisation using functions
Klaus Deckelnick, Philip J. Herbert, Michael Hinze
Built upon previous work of the authors in (Deckelnick, Herbert, and Hinze, ESAIM: COCV 28 (2022)), we present a general shape optimisation framework based on the method of mapping…
Numerical analysis of a new formulation for the Oseen equations in terms of vorticity and Bernoulli pressure
Veronica Anaya, David Mora, Amiya K. Pani +1
A variational formulation is introduced for the Oseen equations written in terms of vor\-ti\-city and Bernoulli pressure. The velocity is fully decoupled using the momentum balance…
Alternating Stationary Iterative Methods Based on Double Splittings
Ashish Kumar Nandi, Nachiketa Mishra, Debasisha Mishra
Matrix double splitting iterations are simple in implementation while solving real non-singular (rectangular) linear systems. In this paper, we present two Alternating Double Split…
Further results on weighted core-EP inverse of matrices
Ratikanta Behera, Gayatri Maharana, Jajati Keshari Sahoo
In this paper, we introduce the notation of -weighted core-EP and -weighted dual core-EP inverse of matrices. We then obtain a few explicit expressions for the weighted core-…
Core and Core-EP Inverses of Tensors
Jajati Kesahri Sahoo, Ratikanta Behera, Predrag S. Stanimirovic +2
Specific definitions of the core and core-EP inverses of complex tensors are introduced. Some characterizations, representations and properties of the core and core-EP inverses are…
Further results on the Drazin inverse of even-order tensors
Ratikanta Behera, Ashish Kumar Nandi, Jajati Keshari Sahoo
The notion of the Drazin inverse of an even-order tensor with the Einstein product was introduced, very recently [J. Ji and Y. Wei. Comput. Math. Appl., 75(9), (2018), pp. 3402-341…
Generalized Inverses of Boolean Tensors via Einstein Product
Ratikanta Behera, Jajati Keshari Sahoo
Applications of the theory and computations of boolean matrices are of fundamental importance to study a variety of discrete structural models. But the increasing ability of data c…
Three-step alternating iterations for index one matrices
Ashish Kumar Nandi, Jajati Keshari Sahoo, Debasisha Mishra
Iterative methods based on matrix splittings are useful in solving large sparse linear systems. In this direction, proper splittings and its several extensions are used to deal wit…