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Some \(L_2\)-error estimates for semi-variational method applied to parabolic equations. (English) Zbl 0316.65022

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35K30 Initial value problems for higher-order parabolic equations
65N99 Numerical methods for partial differential equations, boundary value problems
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References:

[1] I. Hlaváček: On a semi-variational method for parabolic equations. Aplikace matematiky 17 (1972), 5, 327-351, 18 (1973), l, 43-64.
[2] J. Douglas, Jr. T. Dupont: Galerkin methods for parabolic equations. SIAM J. Numer. Anal. 7(1970), 4, 575-626. · Zbl 0224.35048
[3] T. Dupont: Some \(L^2\) error estimates for parabolic Galerkin methods. · Zbl 0279.65086
[4] J. H. Bramble J. E. Osborn: Rate of convergence estimates for non-self adjoint eigenvalue approximations. MRC Report 1232, Univ. Wisconsin, 1972. · Zbl 0305.65064
[5] J. L. Lions: Equations differentielles operationelles et problèmes aux limites. Springer-Verlag, Berlin, 1961.
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