Analysis Maximum And Minimum Principles on Harmonic Functions With killed Brownian motion
Mohamed M.Osman · International journal of engineering, science and mathematics · 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.