کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776063 1631961 2018 47 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions
چکیده انگلیسی
This work presents novel finite element approaches for solving a parabolic partial differential equation with discontinuous coefficients and low regularity solutions in a bounded convex polyhedral domain. A spatial semi-discretization based on symmetric interior penalty Galerkin (SIPG) approximations is constructed and analyzed by using discontinuous piecewise linear functions. For smooth initial data, spatial errors in the broken L2, H1 and L2(H1) norms are proven to be optimal with respect to low regularity solutions, which are only piecewise H1+s smooth with 0
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 330, 1 March 2018, Pages 356-379
نویسندگان
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