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Error estimates for...
Abstract
Ämnesord
Stäng
- In this paper we consider the numerical solution of a time-periodic linear parabolic problem. We derive optimal order error estimates in Lz(f2) for approximate solutions obtained by discretizing in space by a Galerkin finite-element method and in time by single-step finite difference methods, using known estimates for the associated initial value problem. We generalize this approach and obtain error estimates for more general discretization methods in the norm of a Banach space B c L2(Ω), e.g., B = H10(Ω) or L∞(Ω). Finally, we consider some computational aspects and give a numerical example.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- AMS 1980 subject classification: 65N15
- 65N30
- error estimate
- Galerkin method
- parabolic
- time-periodic
- MATHEMATICS
- MATEMATIK
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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