کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10225879 1701223 2018 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Higher order FEM for the obstacle problem of the p-Laplacian-A variational inequality approach
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Higher order FEM for the obstacle problem of the p-Laplacian-A variational inequality approach
چکیده انگلیسی
We consider higher order finite element discretizations of a nonlinear variational inequality formulation arising from an obstacle problem with the p-Laplacian differential operator for p∈(1,∞). We prove an a priori error estimate and convergence rates with respect to the mesh size h and in the polynomial degree q under assumed regularity. Moreover, we derive a general a posteriori error estimate which is valid for any uniformly bounded sequence of finite element functions. All our results contain the known results for the linear case of p=2. We present numerical results on the improved convergence rates of adaptive schemes (mesh size adaptivity with and without polynomial degree adaptation) for the singular case of p=1.5 and for the degenerated case of p=3.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 76, Issue 7, 1 October 2018, Pages 1639-1660
نویسندگان
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