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What is Multigrid Algorithms for Elliptic PDEs about?

This paper presents two full multigrid algorithms designed for solving elliptic partial differential equations with mixed derivative terms in both Cartesian and Polar coordinate systems, specifically within a quarter of a unit circle. The algorithms include modifications for handling points near curved boundaries and demonstrate straightforward extensions to three-dimensional problems. Numerical examples are provided to illustrate the effectiveness of the methods.

Author

Mohamed Elgayar

Language

EN