Geodesic
Some $L_2$-error estimates for semi-variational method applied to parabolic equations
Applications of Mathematics, Tome 19 (1974) no. 5, pp. 327-341.

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The convergence of the semi-variational approximations to the solution of a mixed parabolic problem is investigated. The derivation of an estimate in $L_2$-norm follows the approach suggested by Dupont, using a parabolic regularity and a projection introduced by Bramble and Osborn. As a result, the second semi-variational approximation is found to possess the maximal possible order of accuracy in space and the fourth order in time.
DOI : 10.21136/AM.1974.103549
Classification : 35K30, 65M99, 65N30, 65N99 
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     author = {Hlav\'a\v{c}ek, Ivan},
     title = {Some $L_2$-error estimates for semi-variational method applied to parabolic equations},
     journal = {Applications of Mathematics},
     pages = {327--341},
     publisher = {mathdoc},
     volume = {19},
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     year = {1974},
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     zbl = {0316.65022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1974.103549/}
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Hlaváček, Ivan. Some $L_2$-error estimates for semi-variational method applied to parabolic equations. Applications of Mathematics, Tome 19 (1974) no. 5, pp. 327-341. doi : 10.21136/AM.1974.103549. http://geodesic.mathdoc.fr/articles/10.21136/AM.1974.103549/

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