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Preconditioners based on windowed Fourier frames applied to elliptic partial differential equations

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dc.contributor.author Bhowmik, Samir K.
dc.contributor.author Stolk, Christiaan C.
dc.date.accessioned 2019-11-24T05:19:12Z
dc.date.available 2019-11-24T05:19:12Z
dc.date.issued 2011-02-17
dc.identifier.uri http://localhost:8080/xmlui/handle/123456789/1184
dc.description.abstract We investigate the application of windowed Fourier frames to the numerical solution of partial differential equations, focussing on elliptic equations. The action of a partial differential operator (PDO) on a windowed plane wave is close to a multiplication, where the multiplication factor is given by the symbol of the PDO evaluated at the wave number and central position of the windowed plane wave. This can be exploited in a preconditioning method for use in iterative inversion. For domains with periodic boundary conditions we find that the condition number with the preconditioning becomes bounded and the iteration converges well. For problems with a Dirichlet boundary condition, some large and small singular values remain. However the iterative inversion still appears to converge well. en_US
dc.language.iso en en_US
dc.publisher Springerlink en_US
dc.title Preconditioners based on windowed Fourier frames applied to elliptic partial differential equations en_US
dc.type Article en_US


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