Convergence order of implicit Euler numerical scheme for maximal monotone differential inclusions. (English) Zbl 1281.34109
The author presents existence results for a differential inclusion governed by a subdifferential operator by using the implicit Euler numerical scheme. They prove that the convergence order is one in a Hilbert space. Applications are given to a class of rheological models.
Reviewer: Zhenbin Fan (Jiangsu)
MSC:
| 34G25 | Evolution inclusions |
| 34A60 | Ordinary differential inclusions |
| 34K28 | Numerical approximation of solutions of functional-differential equations (MSC2010) |
| 47H05 | Monotone operators and generalizations |
| 47J35 | Nonlinear evolution equations |
| 65L70 | Error bounds for numerical methods for ordinary differential equations |
Keywords:
differential inclusions; implicit Euler numerical scheme; order one of convergence; multivalued maximal monotone operator; subdifferential; frictions lawsReferences:
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