کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4639136 | 1632036 | 2013 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Finite difference methods for the Infinity Laplace and pp-Laplace equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Finite difference methods for the Infinity Laplace and pp-Laplace equations Finite difference methods for the Infinity Laplace and pp-Laplace equations](/preview/png/4639136.png)
چکیده انگلیسی
We build convergent discretizations and semi-implicit solvers for the Infinity Laplacian and the game theoretical pp-Laplacian. The discretizations simplify and generalize earlier ones. We prove convergence of the solution of the Wide Stencil finite difference schemes to the unique viscosity solution of the underlying equation. We build a semi-implicit solver, which solves the Laplace equation as each step. It is fast in the sense that the number of iterations is independent of the problem size. This is an improvement over previous explicit solvers, which are slow due to the CFL condition.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 254, 15 December 2013, Pages 65–80
Journal: Journal of Computational and Applied Mathematics - Volume 254, 15 December 2013, Pages 65–80
نویسندگان
Adam M. Oberman,