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A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature

D Sheen ; I. H. Sloan ; Vidar Thomée (Institutionen för matematik)
Math. Comp. (0025-5718). Vol. 69 (2000), 229, p. 177–195.
[Artikel, refereegranskad vetenskaplig]

We treat the time discretization of an initial-value problem for a homogeneous abstract parabolic equation by first using a representation of the solution as an integral along the boundary of a sector in the right half of the complex plane, then transforming this into a real integral on the finite interval , and finally applying a standard quadrature formula to this integral. The method requires the solution of a finite set of elliptic problems with complex coefficients, which are independent and may therefore be done in parallel. The method is combined with spatial discretization by finite elements.

Denna post skapades 2012-08-31.
CPL Pubid: 162752


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Institutionen för matematik (1987-2001)


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