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Discretization and solution of elliptic PDEs-a digital signal processing approach
1990
Proceedings of the IEEE
A digital signal processing (DSP) approach is used to study numerical methods for discretizing and solving linear elliptic partial differential equations (PDEs). Whereas conventional PDE analysis techniques rely on matrix analysis and on a space-domain point of view to study the performance of solution methods, the DSP approach described here relies on frequency domain analysis and on multidimensional DSP techniques. This tutorial paper discusses both discretization schemes and solution
doi:10.1109/5.60919
fatcat:r7bjwtk6ejhvzl2jancjpputzu