Reliable solution for a 1D quasilinear elliptic equation with uncertain coefficients

zbMath0944.35027MaRDI QIDQ1301874

Jan Chleboun

Publication date: 13 September 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

quasilinear elliptic equationtransformationuncertain dataKirchhoffreliable solutioncost sensitivity analysis

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (4)

On the worst scenario method: a modified convergence theorem and its application to an uncertain differential equation. ⋮ On the worst scenario method: application to a quasilinear elliptic 2D-problem with uncertain coefficients. ⋮ Uncertain input data problems and the worst scenario method. ⋮ On a reliable solution of a quasilinear elliptic equation with uncertain coefficients: Sensitivity analysis and numerical examples

Cites Work

• On Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type
• Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function
• Reliable solution of a quasilinear nonpotential elliptic problem of a nonmonotone type with respect to the uncertainty in coefficients
• Reliable solutions of elliptic boundary value problems with respect to uncertain data
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