46 citations · 349 across the 42 of their papers we have counts for
4 papers · 2 filters
Numerical approximation of the thermistor problem
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We use a finite element approach based on Galerkin method to obtain approximate steady state solutions of the thermistor problem with temperature dependent electrical conductivity.
Existence of Positive Solutions for Non Local p-Laplacian Thermistor Problems on Time Scales
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We make use of the Guo-Krasnoselskii fixed point theorem on cones to prove existence of positive solutions to a non local p-Laplacian boundary value problem on time scales arising…
Numerical analysis of a nonlocal parabolic problem resulting from thermistor problem
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We analyze the spatially semidiscrete piecewise linear finite element method for a nonlocal parabolic equation resulting from thermistor problem. Our approach is based on the prope…
Existence of Infinitely Many Solutions for a Quasilinear Elliptic Problem on Time Scales
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We study a boundary-value quasilinear elliptic problem on a generic time scale. Making use of the fixed-point index theory, sufficient conditions are given to obtain existence, mul…