Research
Interests
- Numerical Analysis
- Finite Element Methods
- Virtual Element Methods
- Hybrid High-Order Methods
- Polyhedral Methods
Scientific publications
Preprints
- Explicit Runge-Kutta schemes with hybrid high-order methods for the wave equation in first-order form. A. Ern and R. Khot, 2024. (HAL-04763478)
Published/Accepted
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Robust virtual element methods for coupled stress-assisted diffusion problems. R. Khot, AE. Rubiano and R. Ruiz-Baier, SIAM Journal on Scientific Computing, 2024.
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Virtual element methods for the Biot-Kirchhoff Poroelasticity. R. Khot, D. Mora and R. Ruiz-Baier, Mathematics of Computation, 2024.
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Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a inverse source problem. R. Khot, N. Nataraj and N. Verma, Mathematical Models and Methods in Applied Sciences, 2023.
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Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. C. Carstensen, R. Khot and A. K. Pani, SIAM Journal on Numerical Analysis, 2023.
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A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. C. Carstensen, R. Khot and A. K. Pani, Numerische Mathematik, 2022.
Other writings
- Nonconforming Virtual Element Method for Linear Elliptic Boundary Value Problems. R. Khot, PhD dissertation, Indian Institute of Technology Bombay, India.