Department of mathematics faculty of science, University of Al-Baha-Kingdom of Saudi Arabia
Online published on 22 August, 2016.
The intention of paper uniform lower and upper bounds for positive finite element approximations to semi linear elliptic equations in several space dimensions subject to mixed Dirichet-Neumann boundary conditions are derived. The discrete maximum principle also holds for degenerate diffusion coefficients. The proofs are based on local maxima lecture truncation technique and on a variation formulation. Both methods are settled on careful estimates on truncation.
Maximum and minimum principle, Dirichlet-Neumann boundary operators, variable exponent storing week operators maximum and minimum principle, variation principle positivity-preserving approximation, harmonic functions of killed Brownian motion
