کد مقاله کد نشریه سال انتشار مقاله انگلیسی ترجمه فارسی نسخه تمام متن
4967049 1365153 2018 20 صفحه PDF ندارد دانلود کنید
عنوان انگلیسی مقاله
A stopping criterion for the iterative solution of partial differential equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A stopping criterion for the iterative solution of partial differential equations
چکیده انگلیسی

•Mesh independent volume norms for both vectors and matrices.•Inexpensive methods for estimating the minimum singular value of a PDE matrix.•A robust stopping criteria for complex, nonlinear, non-monotonic PDE problems.

A stopping criterion for iterative solution methods is presented that accurately estimates the solution error using low computational overhead. The proposed criterion uses information from prior solution changes to estimate the error. When the solution changes are noisy or stagnating it reverts to a less accurate but more robust, low-cost singular value estimate to approximate the error given the residual. This estimator can also be applied to iterative linear matrix solvers such as Krylov subspace or multigrid methods. Examples of the stopping criterion's ability to accurately estimate the non-linear and linear solution error are provided for a number of different test cases in incompressible fluid dynamics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 352, 1 January 2018, Pages 265-284
نویسندگان
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