Geodesic
The stability of Ritz-Volterra projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type
Applications of Mathematics, Tome 36 (1991) no. 2, pp. 123-133.

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In this paper we first study the stability of Ritz-Volterra projection (see below) and its maximum norm estimates, and then we use these results to derive some $L^\infty$ error estimates for finite element methods for parabolic integro-differential equations.
DOI : 10.21136/AM.1991.104449
Classification : 45K05, 65M60, 65N30, 65R20
Keywords: Ritz-Volterra projection; stability; finite element; error estimates; initial- boundary-value problem; parabolic Volterra integro-differential equation 
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     title = {The stability of {Ritz-Volterra} projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type},
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Lin, Yanping; Zhang, Tie. The stability of Ritz-Volterra projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type. Applications of Mathematics, Tome 36 (1991) no. 2, pp. 123-133. doi : 10.21136/AM.1991.104449. http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104449/

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