Partial \(L^1\) Monge-Kantorovich problem: variational formulation and numerical approximation

DOI10.4171/IFB/209zbMath1219.35371MaRDI QIDQ924035

Leonid Prigozhin, John W. Barrett

Publication date: 27 July 2009

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=1463-9963&vol=11&iss=2&rank=2

zbMATH Keywords

convergence analysisfinite elementsvariational formulationfree boundaryoptimal transportationaugmented LagrangianMonge-Kantorovich problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Critical phenomena in equilibrium statistical mechanics (82B27) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

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