Error Bounds for Space-Time Discretizations of a 3D Model for Shape-Memory Materials

被引：4

作者：

Mielke, Alexander ^{[1
]}

Paoli, Laetitia ^{[2
]}

Petrov, Adrien ^{[1
]}

Stefanelli, Ulisse ^{[3
]}

机构：

[1] Weierstrass Inst Angew Anal & Stochast, Mohrenstr 39, D-10117 Berlin, Germany

[2] Univ St Etienne, LaMUSE Lab Math, F-42023 St Etienne, France

[3] CNR, Istit Matematica Appl Tecnol Informat, I-27100 Pavia, Italy

来源：

IUTAM SYMPOSIUM ON VARIATIONAL CONCEPTS WITH APPLICATIONS TO THE MECHANICS OF MATERIALS | 2010年 / 21卷

关键词：

INDUCED PHASE-TRANSFORMATIONS; RATE-INDEPENDENT MODEL; 3-DIMENSIONAL MODEL; ALLOYS; APPROXIMATION; INELASTICITY;

D O I：

10.1007/978-90-481-9195-6_14

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper deals with error estimates for space-time discretizations of a three-dimensional model for isothermal stress-induced transformations in shape-memory materials. After recalling existence and uniqueness results, a fully-discrete approximation is presented and an explicit space-time convergence rate of order h(alpha/2) + tau(1/2) for some alpha is an element of (0, 1] is derived.

引用

页码：185 / +

页数：3

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