Dr. Sharana Kumar Shivanand

Postdoctoral Researcher
sharana shivanand ∂does-not-exist.kit edu
ORCID

Research Interests:

Uncertainty Quantification (UQ)
Stochastic Modelling
Multi-fidelity Methods
Bayesian Inverse Problems
Materials and Mechanics

I am currently developing multi-fidelity Bayesian inverse UQ algorithms for the identification of parameters in compute-intensive simulations. I am also engaged in development of methods for random material tensor fields, multi-level forward UQ, data assimilation and probabilistic machine learning.

More details on my personal webpage.

Publications

2026

Scale-invariant Monte Carlo and multilevel Monte Carlo estimation of mean and variance: An application to simulation of linear elastic bone tissue
Shivanand, S. K.; Rosić, B.
2026. Computers & Structures, 321, Art.-Nr.: 108054. doi:10.1016/j.compstruc.2025.108054

2025

COVARIANCE ESTIMATION USING h-STATISTICS IN MONTE CARLO AND MULTILEVEL MONTE CARLO METHODS
Shivanand, S. K.
2025. International Journal for Uncertainty Quantification, 15 (2), 43–64. doi:10.1615/Int.J.UncertaintyQuantification.2024051528

Stochastic modelling of elasticity tensor fields
Shivanand, S. K.; Rosić, B.; Matthies, H. G.
2025. Mathematics and Mechanics of Solids. doi:10.1177/10812865251348030

2024

Stochastic modelling of symmetric positive definite material tensors
Shivanand, S. K.; Rosić, B.; Matthies, H. G.
2024. Journal of Computational Physics, 505, Art.Nr: 112883. doi:10.1016/j.jcp.2024.112883

2022

Stochastic material modelling and multi-fidelity uncertainty quantification of macroscopic bone tissue. PhD dissertation
Shivanand, S.
2022. Universitätsbibliothek Braunschweig. doi:10.24355/dbbs.084-202212161045-0

Collocation Methods and Beyond in Non-linear Mechanics
Fahrendorf, F.; Shivanand, S.; Rosic, B. V.; Sarfaraz, M. S.; Wu, T.; De Lorenzis, L.; Matthies, H. G.
2022. Non-standard Discretisation Methods in Solid Mechanics. Ed.: J. Schröder, 449–504, Springer International Publishing. doi:10.1007/978-3-030-92672-4_16