Worst case error bounds for the solution of uncertain Poisson equations with mixed boundary conditions

DOI10.1016/J.CAM.2016.02.036zbMath1382.65361OpenAlexW2287074883MaRDI QIDQ269358

Tanveer Iqbal, Arnold Neumaier

Publication date: 18 April 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.02.036

zbMATH Keywords

global optimizationlinear elliptic partial differential equationuncertain parametersdual weighted residual

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Uses Software

• AMPL

Cites Work

• Unnamed Item
• Certified error bounds for uncertain elliptic equations
• Explicit \(H_ 2\)-estimates and pointwise bounds for solutions of second- order elliptic boundary value problems
• Elliptic partial differential equations of second order
• Existence and enclosure results for continua of solutions of parameter- dependent nonlinear boundary value problems
• Bounds on linear PDEs via semidefinite optimization
• The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations
• A numerical approach to the proof of existence of solutions for elliptic problems II
• An optimal control approach to a posteriori error estimation in finite element methods
• A numerical approach to the proof of existence of solutions for elliptic problems
• Computing Bounds for Linear Functionals of Exact Weak Solutions to the Advection-Diffusion-Reaction Equation
• Computing Bounds for Linear Functionals of Exact Weak Solutions to Poisson's Equation

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