Solution of inverse problems in contaminant transport with adsorption
Solution of time-dependent advection-diffusion problems with the sparse-grid combination technique and a Rosenbrock solver.
Stabilized Galerkin finite element methods for convection dominated and incompressible flow problems
In this paper, we analyze a class of stabilized finite element formulations used in computation of (i) second order elliptic boundary value problems (diffusion-convection-reaction model) and (ii) the Navier-Stokes problem (incompressible flow model). These stabilization techniques prevent numerical instabilities that might be generated by dominant convection/reaction terms in (i), (ii) or by inappropriate combinations of velocity/pressure interpolation functions in (ii). Stability and convergence...
Structure of the set of stationary solutions of viscous hydromagnetic equations with diffusivity