When Bingham meets Bratu: mathematical and computational investigations
DOI10.1051/cocv/2021020zbMath1481.65216OpenAlexW3131502903MaRDI QIDQ4999526
Frederick J. Foss II, Roland Glowinski
Publication date: 7 July 2021
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/cocv/2021020
Lagrange multipliersmultiple solutionsturning pointsfinite element approximationsexponential nonlinearityBratu-Gelfand problemBingham viscoplastic flowBingham-Bratu-Gelfand (BBG) problemnon-smooth nonlinear eigenvalue problemoperator-splitting time-discretization schemes
Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Non-Newtonian fluids (76A05) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical methods for variational inequalities and related problems (65K15) PDE constrained optimization (numerical aspects) (49M41)
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