NUMERICAL APPROACH OF THERMOMECHANICAL COUPLED PROBLEMS WITH MOVING BOUNDARIES IN THEORETICAL GLACIOLOGY

DOI10.1142/S0218202502001623zbMath1019.86003MaRDI QIDQ4798961

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Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

finite elementsweak solutionsfree boundariesduality methodsice sheet models

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Computational methods for problems pertaining to geophysics (86-08) Glaciology (86A40)

Related Items (5)

UNIQUENESS AND COLLAPSE OF SOLUTION FOR A MATHEMATICAL MODEL WITH NONLOCAL TERMS ARISING IN GLACIOLOGY ⋮ Finite elements numerical solution of a coupled profile--velocity--temperature shallow ice sheet approximation model. ⋮ Enthalpy balance methods \textit{versus} temperature models in ice sheets ⋮ A least-squares finite element method for a nonlinear Stokes problem in glaciology ⋮ A new fully nonisothermal coupled model for the simulation of ice sheet flow

Cites Work

• Duality methods for solving variational inequalities
• Numerical computation of ice sheet profiles with free boundary models
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• Numerical approach of temperature distribution in a free boundary model for polythermal ice sheets
• Mathematical analysis of a Stefan problem with Dirichlet-Signorini boundary conditions appearing in polythermic ice sheet modeling

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