کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5128078 1489377 2017 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Discrete solutions for the porous medium equation with absorption and variable exponents
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Discrete solutions for the porous medium equation with absorption and variable exponents
چکیده انگلیسی

In this work, we study the convergence of the finite element method when applied to the following parabolic equation: ut=div(|u|γ(x,t)∇u)−λ|u|σ(x,t)−2u+f,x∈Ω⊂Rd,t∈]0,T]. Since the equation may be of degenerate type, we use an approximate problem, regularized by introducing a parameter ε. We prove, under certain conditions on γ, σ and f, that the weak solution of the approximate problem converges to the weak solution of the initial problem, when the parameter ε tends to zero. The convergence of the discrete solutions for the weak solution of the approximate problem is also proved. Finally, we present some numerical results of a MatLab implementation of the method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 137, July 2017, Pages 109-129
نویسندگان
, , ,