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Finite element appr...
Finite element approximation of the Cahn-Hilliard-Cook equation
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- Kovacs, Mihaly, 1977 (författare)
- University of Otago
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- Larsson, Stig, 1952 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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Mesforush, Ali, 1971 (författare)
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(creator_code:org_t)
- Society for Industrial & Applied Mathematics (SIAM), 2011
- 2011
- Engelska.
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Ingår i: SIAM Journal on Numerical Analysis. - : Society for Industrial & Applied Mathematics (SIAM). - 0036-1429 .- 1095-7170. ; 49:6, s. 2407-2429
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Abstract
Ämnesord
Stäng
- We study the nonlinear stochastic Cahn–Hilliard equation perturbed by additive colored noise. We show almost sure existence and regularity of solutions. We introduce spatial approximation by a standard finite element method and prove error estimates of optimal order on sets of probability arbitrarily close to 1. We also prove strong convergence without known rate.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Cahn–Hilliard–Cook equation
- additive noise
- Wiener process
- existence
- regularity
- finite element
- error estimate
- strong convergence
- error estimate
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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