Publications

    

 Journals 

           Adaptive Mixed FEM for the Stokes eigenvalue problem

        Under Review [Arxiv Preprint]

Finite element analysis of the nearly incompressible linear elasticity eigenvalue problem with variable coefficients

         Under Review [Arxiv Preprint]  

      Optimal Control of Stationary Doubly Diffusive Flows on Two and Three Dimensional Bounded Lipschitz Domains: A Theoretical Study

       Under Review. [Arxiv Preprint]

      Finite element approximation for the delayed generalized Burgers-Huxley equation with weakly singular kernel: Part II Non-Conforming and DG approximation

       Under Review. [Arxiv Preprint]

      Finite element approximation for a delayed generalized Burgers-Huxley equation with weakly singular kernels: Part I Well-posedness, Regularity and Conforming approximation

       Under Review. [Arxiv Preprint]

     Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem

      Computer & Mathematics with applications, 2024. [Arxiv Preprint][link]

      Divergence-conforming methods for transient doubly-diffusive flows: A priori and a posteriori error analysis

       IMA Journal of Numerical Analysis, 2023.  [Arxiv Preprint][link]

     Robust a posteriori error analysis for rotation-based formulations of the elasticity/poroelasticity coupling

       SIAM Journal on Scientific Computing (SISC), 44(4), (2022), B964-B995. [Arxiv Preprint][link]

      Conforming, nonconforming and DG methods for the stationary generalized Burgers- Huxley equation

        Journal of Scientific Computing, 88, 52 (2021). [Arxiv Preprint]

        A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot's model. Part I--Theoretical aspects

     Mathematics of Computation  (American Mathematical Society), 93 (335), 2022, 1143-1170.  [Arxiv Preprint] 

      Robust a posteriori error estimation for mixed finite element approximation of linear poroelasticity 

        IMA Journal of Numerical Analysis 41(3), 2021, 2000-2025.

     Parameter-robust Stochastic Galerkin mixed approximation for linear poroelasticity with uncertain inputs 

      SIAM Journal on Scientific Computing (SISC), 43(4), 2021, B855-B883. [Arxiv Preprint]

        Robust a posteriori error estimation for stochastic Galerkin formulations of parameter-dependent linear elasticity equations 

       Mathematics of computation (American Mathematical Society),  90 (2021), 613-636.   [Arxiv Preprint] [link] 

       Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems

       Numerishe Mathematik, 144, (2020), 585-614.  [Arxiv Preprint][link] 

     Spectral method and spectral element method for three dimensional linear elliptic system: analysis and application

     Journal of Scientific Computing, 82, 40, (2020), 1-32. [link]

        A robust a posteriori error estimator  for Divergence-conforming DG methods for Oseen equation   

        SIAM Journal on Numerical Analysis (SINUM), 58(1), ( 2020), 492-518. [link]

       On the generalized Burgers-Huxley equation: Existence, uniqueness, regularity, global attractors and numerical studies, 

     Discrete & Continuous Dynamical Systems - B, 2020. [link]

       Robust Error Estimation for Lowest-Order Approximation of Nearly Incompressible Elasticity

        International Journal for Numerical Methods in Engineering (IJNME), 119, (2019), 18-37,  [Arxiv Preprint ] [link]

        Robust Preconditioning for stochastic Galerkin formulations of parameter-dependent linear elasticity equations

       SIAM Journal on Scientific Computing (SISC), 41(1), (2019), A402-A422  [Arxiv Preprint][link]

       Arnold-Winther Mixed Finite Elements for Stokes Eigenvalue Problems  

       SIAM Journal on Scientific Computing (SISC), 40(5),  (2018),  A3449-A3469  [MIMSPreprint] [Arxiv Preprint] [link]  

        Spectral element method for parabolic interface problems 

        Computer Methods in Applied Mechanics and Engineering (CMAME) 317 (2018), 66-94.  [MIMSPreprint]  [link]

        Spectral Element Method for parabolic initial value problem with non-smooth data: analysis and application 

        Journal of Scientific Computing, 73 (2-3),(2017), 876-905.    [link]

        Least-squares spectral element preconditioners for fourth order elliptic problems

        Computers and Mathematics with Applications, 74(3), (2017), 482-503.    [link]

        Spectral Element Method for Three Dimensional Elliptic Problems with Smooth Interfaces 

        Computer Methods in Applied Mechanics and Engineering  (CMAME)  315 (2017), 522-549.  [link] 

        Exponentially accurate spectral element method for fourth order elliptic problems 

        Journal of Scientific Computing, 71(1), (2017), 303-328. [link]

       Exponentially accurate nonconforming least-squares spectral element method for elliptic problems on unbounded domains 

       Computer Methods in Applied Mechanics and Engineering (CMAME) 305, (2016),  607-633.  [link]

       Nonconforming Least-Squares Spectral Element Method for European options

       Computers and Mathematics with Applications 70 (1), (2015), 47-65.   [link]

       Importance of Molecular Heat Convection in Time Resolved Thermal Lens Study of Highly Absorbing Samples 

       Chemical Physics, 441 (2014), 5-10.  [link]

   

  Proceedings

Some remarks on the a posteriori error analysis of the mixed Laplace eigenvalue problem,

14th WCCM-ECCOMAS Congress, 2020. [link]

       Adaptive finite element methods for Stokes eigenvalue problems

       In Self-Adaptive Numerical Methods for Computationally Challenging Problems, Oberwolfach Rep., 13(3), (2016), 2420-2421. [link]