Almost sure convergence of Galerkin approximations for a heat equation with a random initial condition

DOI10.1016/0898-1221(89)90032-1zbMath0683.65120OpenAlexW2157706402MaRDI QIDQ1825021

U. Jin Choi, Do Young Kwak

Publication date: 1989

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(89)90032-1

zbMATH Keywords

rate of convergenceheat equationrandom partial differential equationrandom Galerkin approximations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Applications to the sciences (65Z05) Probabilistic methods, stochastic differential equations (65C99)

Related Items (2)

Prime sample scheme for almost sure convergence of a Galerkin approximation ⋮ Almost sure convergence of the finite element approximations for the random Sturm-Liouville boundary value problem

Cites Work

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• Convergence of statistical finite element solutions of the heat equation with a random initial condition
• Stability analysis of a finite element scheme for the heat equation with a random initial condition
• On the Smoothing Property of the Galerkin Method for Parabolic Equations

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