Finite element approximations of Landau-Ginzburg's equation model for structural phase transitions in shape memory alloys

DOI10.1051/m2an/1995290606291zbMath0929.65085OpenAlexW2493474281MaRDI QIDQ4856939

Karl-Heinz Hoffmann, Jun Zou

Publication date: 2 February 2000

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193786

zbMATH Keywords

finite elementerror boundsshape memory alloysLandau-Ginzburg modelthermomechanical phase transition

Mathematics Subject Classification ID

Related Items (5)

Structure-preserving finite difference schemes for a semilinear thermoelastic system with second order time derivative ⋮ A priori error estimates in the finite element method for nonself-adjoint elliptic and parabolic interface problems ⋮ Robusta priorierror analysis for the approximation of degree-one Ginzburg-Landau vortices ⋮ A conservative finite difference scheme for the Falk model system of shape memory alloys ⋮ Theoretical and numerical analysis on a thermoelastic system with discontinuities

Cites Work

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• Convergent numerical approximations of the thermomechanical phase transitions in shape memory alloys
• Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys
• Approximation in the finite element method

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