Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys

DOI10.1090/S0025-5718-02-01409-6zbMath1007.65071OpenAlexW2085754006MaRDI QIDQ3147169

Ulisse Stefanelli

Publication date: 18 September 2002

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-02-01409-6

zbMATH Keywords

convergenceshape memory alloyserror estimatesemidiscretizationthermo-mechanicssemi-implicit time discretizationnonlinear Frémond model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Thermal effects in solid mechanics (74F05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Displacive transformations in solids (74N10)

Related Items (4)

A dissipative model for hydrogen storage: existence and regularity results ⋮ Attractors for a three-dimensional thermo-mechanical model of shape memory alloys ⋮ Collisions in shape memory alloys ⋮ Error Estimates for a Variable Time-Step Discretization of a Phase Transition Model with Hyperbolic Momentum

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• A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
• Global solution to the full one‐dimensional Frémond model for shape memory alloys
• Global existence for the three-dimensional Frémond model of shape memory alloys

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