Shape optimization and supremal minimization approaches in landslides modeling

DOI10.1007/s00245-005-0830-5zbMath1081.49030OpenAlexW2038125821MaRDI QIDQ816968

Riad Hassani, Ioan R. Ionescu, Thomas Lachand-Robert

Publication date: 2 March 2006

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

Full work available at URL: https://doi.org/10.1007/s00245-005-0830-5

zbMATH Keywords

Bingham fluidshape optimizationstress formulationfinite-element approach

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Variational methods applied to problems in fluid mechanics (76M30) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (13)

Background Lectures on Ideal Visco-Plastic Fluid Flows ⋮ Critical Yield Numbers of Rigid Particles Settling in Bingham Fluids and Cheeger Sets ⋮ Boundary variation method for the generalized Cheeger problem ⋮ The Cheeger constant of a Jordan domain without necks ⋮ \(L^\infty\)-variational problems associated to measurable Finsler structures ⋮ Critical yield numbers and limiting yield surfaces of particle arrays settling in a Bingham fluid ⋮ Yield limit analysis of particle motion in a yield-stress fluid ⋮ Two examples of minimal Cheeger sets in the plane ⋮ Generalized Cheeger sets related to landslides ⋮ Discontinuous velocity domain splitting in limit analysis ⋮ Approximation of maximal Cheeger sets by projection ⋮ Quasiminima of the Lipschitz extension problem ⋮ A PROJECTION APPROACH TO THE NUMERICAL ANALYSIS OF LIMIT LOAD PROBLEMS

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