Convergence of statistical finite element solutions of the heat equation with a random initial condition

DOI10.1016/0045-7825(83)90017-8zbMath0532.73100OpenAlexW2077579215MaRDI QIDQ789239

Seiichi Tasaka

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90017-8

zbMATH Keywords

random initial conditionsconvergence of error functionforward difference scheme in timeliniar approximationone-dimensional equationstatistical finite element solutionsvariance of FE solutions converges

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs with randomness, stochastic partial differential equations (35R60) Numerical and other methods in solid mechanics (74S99)

Related Items (2)

Almost sure convergence of the finite element approximations for the random Sturm-Liouville boundary value problem ⋮ Almost sure convergence of Galerkin approximations for a heat equation with a random initial condition

Cites Work

• Stability analysis of a finite element scheme for the heat equation with a random initial condition
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