Implicit Euler scheme for an abstract evolution inequality (Q647736)

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scientific article; zbMATH DE number 5978731
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Implicit Euler scheme for an abstract evolution inequality
scientific article; zbMATH DE number 5978731

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    Implicit Euler scheme for an abstract evolution inequality (English)
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    24 November 2011
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    This paper deals with the inequality \[ \langle u'(t)+ A(t) u(t)- f(t),\;v- u(t)\rangle+ \phi(t,v)- \phi(t,u(t))\geq 0. \] The authors present conditions on data under which there exists a unique solution of this problem and use the implicit Euler method which has first-order accuracy in the energy norm.
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