Speakers

Research Interest: Construction, stability and convergence analysis of FEM, FD schemes, partial integro differential equations, evolutionary variational inequalities, and scientific computations

Title: On Theoretical and Computational Studies of The Vlasov-Navier-Stokes system

Research Interest: Liquid Crystals, Calculus of Variations, Nonlinear PDEs, interface of mathematical modeling, applied analysis, and theoretical physics

Title: Solution Landscapes in the Landau-de Gennes theory for Nematic Liquid Crystals: Analysis, Computations and Applications

Research Interest: Numerical Solution of Partial Differential Equations, Numerical Linear Algebra, Uncertainty Quantification

Title: Recent advances in numerical approximation of linear elasticity/ poroelasticity with uncertain inputs

Research Interest: Applied and Numerical Analysis

Title: Lower eigenvalue bounds for the harmonic and bi-harmonic operator

Research Interest: Numerical approximation of PDEs, Finite element methods, Mixed finite elements, Numerical approximation of eigenvalue problems, Applications in Fluid-dynamics, Interactions of fluids and structures, and Electromagnetism

Title: From interface problem to FSI: the role of the distributed Lagrange multiplier in a fictitious domain approach

Research Interest: Geophysical Flows, Applied Mathematics, Physical Oceanography, Turbulence, and Waves

Title: Passive tracer dispersion in the ocean

Research Interest: Solving integro-differential equations, Convergence and stability of FV and FDMs, Existence and uniqueness of solutions of population balances, and DEM simulations

Title: Integrating Continuum and Discrete Approaches for Enhanced Simulations of Particulate Systems: A Multiscale Bi-directional Modeling Perspective

Research Interest: Finite Element Methods, Discontinuous Galerkin Methods, A Posteriori Error Analysis and Adaptive FEM, Nonlinear Elliptic PDEs, and Optimal Control Problems

Title: Pointwise adaptive finite element method for the Signorini problem

Research Interest: Fluid dynamics, Scientific computing, and Numerical solution of PDEs

Title: Understanding Interplay of Viscous Fingering and Chemical Reaction through a Non-Modal Analysis

Research Interest: Multi-scale modeling and numerical solutions, Stochastic PDEs, Biophysics, Mathematical biology

Title: Multi-scale modeling of ventricular cardiac myocytes of rabbit and rat

Research Interest: Numerical Solution of Singular Perturbation Problems, Homogenization, Multi-Scale Problems, CFD, Domain decomposition methods, Big Data Analytics – Machine Learning

Title: A Novel Operator-Splitting NIPG FEM for 2D Time-Fractional Diffusion Problem

Research Interest: Computational Fluid Dynamics, Finite element and Discontinuous Galerkin Methods, Parallel Computing, Compressible flows, MHD, Shallow water Well-balanced scheme, and Shape optimization

Title: Lax-Wendroff flux reconstruction method for hyperbolic conservation laws

Research Interest: Numerical Analysis, Applied Mathematics, Scientific Computing, computational Biomechanics, PDEs, CFD, HPC, Image Processing

Title: PDE Based Image Analysis: Theory, Computation and Application

Research Interest: Computational Partial Differential Equations, Finite Volume Element Methods, Finite Element Methods, Discontinuous Galerkin Methods

Title: Three and four fields mixed formulations in poroelasticity

Research Interest: Numerical Analysis, FEM, Stabilization Methods, Multigrid Methods, Parallel Algorithms with Applications to Free Surface and Multi-phase Flows, and Scientific ML/AI

Title: Advancements in Neural Networks for Efficiently Solving PDEs

Research Interest: Numerics for PDEs, Mathematical Modeling & Numerical Simulation, and Parallel computing

Title: A shock-capturing meshless geometric conservation weighted least square method for solving shallow water equations

Research Interest: Numerical Analysis and Partial Differential Equations, Finite element methods for the PDEs, Adaptive FEM, and its convergence analysis

Title: Convergence of Adaptive FEM for Nonlocal Kirchhoff Problem

Research Interest: Partial Differential Equation, Numerical Analysis, and Conservation Laws.

Title: Convergence of a second order scheme for non-local conservation laws

Research Interest: Stabilized methods for convection-dominated problems, Analysis and simulation of turbulent flows, large eddy simulation (LES), variational multiscale methods (VMS), adaptive methods, and a posteriori error estimators for PDEs

Title: Finite element methods respecting the discrete maximum principle for convection-diffusion equations