Simulation of incompressible flows with heat and mass transfer using parallel finite element method.
Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model
We analyze two numerical schemes of Euler type in time and C0 finite-element type with -approximation in space for solving a phase-field model of a binary alloy with thermal properties. This model is written as a highly non-linear parabolic system with three unknowns: phase-field, solute concentration and temperature, where the diffusion for the temperature and solute concentration may degenerate. The first scheme is nonlinear, unconditionally stable and convergent. The other scheme is linear...
Steady-state solution of the PTC thermistor problem using a quadratic spline finite element method.