Professor
Prof. A K Pani
Areas Of Expertise
- Numerical analysis
- Partial differential equation
- Scientific computing,,Adaptive mixed finite element methods
- Optimization solvers
- Wemwos
- Partial differential equations
- Oldroyd model
- Viscoelastic fluids
- Kelvin-Voight Model
- H1Galerkin mixed finite element methods
- Optional error estimates
- Parabolic partial integro-differential equations
- Semidiscrete and fully discrete schemes
- Discontinuous system
- Lyapunov function
- Self regulating system
- Sliding mode
- Slug flow
- Two phase flow
- Front fixing technique
- Gauss quadrature
- H1 -Galerkin method
- Interpolation inequality
- Optimal error estimates
- Qualocation method
- Semidiscrete scheme
- Singlephase Stefan problem
- A priori bounds
- Exponential decay
- Linearized backward Euler method
- Oldroyd model
- Uniform convergence in time
- Viscoelastic fluids
- Equivalent dynamics
- Hybrid system
- Multiple forcing functions
- Singular system
- Alternating direction implicit method
- Backward Euler method
- Crank-Nicolson method
- Evolution equation with positive-type memory term
- Orthogonal spline collocation
- Quadrature rules
- Second order backward differentiation formula method
- Brouwe 146
- s fixed point theorem
- Discontinuous Galerkin methods
- Hp-finite elements
- Optimal estimates
- Second order quasi-linear elliptic problems
- C 0-semigroup
- Controllability
- Generalized Hammerstein equation
- Lipschitz continuity
- Nemytskii operator
- Non-linear parabolic system
- Optimal control
- Penalty function
- Lagrange multiplier
- Modified elliptic projection
- Numerical experiments
- Order of convergence
- Parabolic initial-boundary value problems
- The mortar element method
- Biharmonic problem
- Error estimates
- Hp-finite elements
- Mixed discontinuous Galerkin method
- Domain decomposition method
- Finite difference method
- Finite element method
- Integro-differential equations
- Parallel computation
- Local discontinuous Galerkin method
- Second order quasilinear elliptic problems
- Finite element
- Finite volume element
- Numerical quadrature
- Ritz projection
- Second order hyperbolic equation
- Semidiscrete method
- Burgers 146 equation
- Gauss quadrature rule
- Discontinuous Galerkin methods
- Finite volume element methods
- Optimal error estimates
- Unified analysis
- Approximation
- Penalty
- Finite volume element methods
- Hp-finite elements
- Nonsymmetric interior penalty Galerkin method
- Second-order linear elliptic problems
- Super-penalty
- Finite-element methods
- Laser surface hardening of steel
- Semilinear parabolic equation
- ODE with non-differentiable forcing function
- Regularized Heaviside function
- regularised problem
- Convergence with respect to regularization parameter
- Numerical experiments
- Steel
- LDG method
- Mixed type Ritz-Volterra projection
- Negative norm estimates
- Optimal error bounds
- Parabolic integro-differential equation
- Role of stabilizing parameters
- Semidiscrete
- Convergence with respect to regularization parameter
- ODE with non-differentiable forcing function
- regularised problem
- Regularized Heaviside function
- Semilinear parabolic equation
- Crouzeix-Raviart elements
- Domain decomposition
- Iterative procedure
- Non-conforming Galerkin method
- Non-overlapping
- Rate of convergence
- Robin-type boundary condition
- Spectral radius-method
- Optimal convergence rates
- Parabolic partial integro-differential equation
- Second-order BDF method
- Superconvergence