Galerkin methods for nonlinear Sobolev equations
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We study Galerkin approximations to the solution of nonlinear Sobolev equations with homogeneous Dirichlet boundary condition in two spatial dimensions and derive optimalL2 error estimates for the continuous Crank — Nicolson and Extrapolated Crank — Nicolson approximations.
AMS (1980) subject classificationPrimary 65N15, 65N30
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