Solving Wick-stochastic water waves using a Galerkin finite element method

DOI10.1016/j.matcom.2009.04.008zbMath1171.76029OpenAlexW1976918564MaRDI QIDQ730878

Hassan Manouzi, Mohammed Seaid

Publication date: 1 October 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.04.008

zbMATH Keywords

shallow water equationswhite noisebackward Euler schemeWiener-Itô chaos expansion

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite difference methods applied to problems in fluid mechanics (76M20) Stochastic analysis applied to problems in fluid mechanics (76M35) Finite element methods applied to problems in fluid mechanics (76M10) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

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Cites Work

• Wick-stochastic finite element solution of reaction-diffusion problems
• A stochastic model of water-table elevation
• Wick calculus in Gaussian analysis
• Numerical analysis of the stochastic Stokes equations of Wick type
• Finite Element Modified Method of Characteristics for Shallow Water Flows: Application to the Strait of Gibraltar
• A Modern Introduction to the Mathematical Theory of Water Waves
• Differential equations in spaces of abstract stochastic distributions
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