Articles
Submitted\Proceeding Articles
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R. Manohar and S. M. Mallikarjuaniah, Newton linearization and finite elements method for quasi-static strain limiting model: Existence-uniqueness and convergence analysis. (under preparation)
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R. Manohar and S. M. Mallikarjuaniah, Convergence analysis of adaptive finite element methods for phase-field modeling of dynamic fracture propagation in elastic media under wave interactions. (under preparation)
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R. Manohar and S. M. Mallikarjuaniah, Adaptive discontinuous Galerkin Method for quasi-static strain-limiting elasticity with mixed moundary conditions. (under preparation)
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K. Buda, R. Manohar, and B. V. Rathish Kumar, Optimal control of Poisson-equation from non-local to local. arXiv preprint arXiv: 2503.09386 (Communicated)
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R. Manohar and S. M. Mallikarjuaniah, Convergence analysis of adaptive finite element algorithms for regularized variational model of quasi-static brittle fracture in ``strain-limiting" elastic solids. arXiv preprint arXiv:2505.19801 (Communicated)
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R. Manohar and S. M. Mallikarjuaniah, Adaptive finite element convergence analysis of AT1 phase-field model for quasi-static fracture in strain-limiting solids. arXiv preprint arXiv:2507.00376 (Communicated)
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R. Manohar and S. M. Mallikarjuaniah, An hp-adaptive discontinuous Galerkin discretization of a static anti-plane shear crack model. arXiv preprint arXiv:2411.00021 (Communicated)
Refereed Articles
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R. Manohar, Error analysis for finite element approximation of parabolic Neumann boundary control problems, Computers and Mathematics with Applications, published on January 5, 2024.
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R. Manohar and R. K. Sinha, A posteriori error estimates for parabolic optimal control problems with controls acting on a lower dimensional manifold, Journal of Scientific Computing, published on October 6, 2021.
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R. Manohar and R. K. Sinha, A posteriori L∞(L∞)-error estimates for finite element approximations to parabolic optimal control problems, Computational and Applied Mathematics, published on November 9, 2021.
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R. Manohar and R. K. Sinha, Elliptic reconstruction and a posteriori error estimates for fully-discrete semilinear parabolic optimal control problems, Journal of Computational Mathematics, published on June 18, 2021.
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R. Manohar and R. K. Sinha, Local a posteriori error analysis of finite element method for parabolic boundary control problems, Journal of Scientific Computing, published on March 1, 2022.
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. R. Manohar and R. K. Sinha, Local a posteriori error analysis of finite element method for boundary control problems governed by nonlinear parabolic equations, Journal of Computational and Applied Mathematics, published on August 1, 2022.
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R. Manohar and R. K. Sinha, Space-time a posteriori error analysis of finite element approximation for parabolic optimal control problems: A reconstruction approach, Optimal Control Application and Methods, published on June 29, 2020.