Numerical analysis of a relaxed variational model of hysteresis in two-phase solids (Q2781516)
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scientific article; zbMATH DE number 1721517
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical analysis of a relaxed variational model of hysteresis in two-phase solids |
scientific article; zbMATH DE number 1721517 |
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20 March 2002
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variational formulation
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two-phase solids
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elastic solids
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hysteresis
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rate-independent phase transformations
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a posteriori error estimates
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implicit time discretization
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non-convex minimization
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microstructure
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quasioptimal spatial approximation of stress field
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finite element method
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a priori error estimates
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adaptive mesh-refining algorithm
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Numerical analysis of a relaxed variational model of hysteresis in two-phase solids (English)
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This paper presents the numerical analysis of a variational formulation of rate-independent phase transformations in elastic solids. The model itself suggests an implicit time discretization which is combined with finite element method in space. A priori error estimates are established for the quasioptimal spatial approximation of stress field within one time step. A posteriori error estimates motivate an adaptive mesh-refining algorithm for efficient discretization.
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