Mortar finite elements for a heat transfer problem on sliding meshes. (English) Zbl 1189.65223
Authors’ summary: We consider a heat transfer problem with sliding bodies, where heat is generated on the interface due to friction. Neglecting the mechanical part, we assume that the pressure on the contact interface is a known function. Using mortar techniques with Lagrange multipliers, we show existence and uniqueness of the solution in the continuous setting. Moreover, two different mortar formulations are analyzed, and optimal a priori estimates are provided. Numerical results illustrate the flexibility of the approach.
Reviewer: Pavel Burda (Praha)
MSC:
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
| 65M55 | Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs |
| 35K05 | Heat equation |
| 65M15 | Error bounds for initial value and initial-boundary value problems involving PDEs |
Keywords:
mortar finite elements; Lagrange multiplier; saddle point problem; interface problem; domain decomposition; heat transfer; a priori estimates; numerical resultsReferences:
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