کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642441 1341343 2007 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A weak discrete maximum principle for hp-FEM
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A weak discrete maximum principle for hp-FEM
چکیده انگلیسی

In this paper, we prove a new discrete maximum principle (DMP) for the one-dimensional Poisson equation discretized by the hp-FEM. While the DMP for piecewise-linear elements is a classical result from the 1970s, no extensions to hp-FEM are available to the present day. Due to a negative result by Höhn and Mittelmann from 1981, related to quadratic Lagrange elements, it was long assumed that higher-order finite elements do not satisfy discrete maximum principles. In this paper we explain why it is not possible to make a straightforward extension of the classical DMP to the higher-order case, and we propose stronger assumptions on the right-hand side under which an extension is possible.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 209, Issue 1, 1 December 2007, Pages 54–65
نویسندگان
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