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The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures

The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures

Error estimates are derived for a class of Galerkin methods for a quasilinear parabolic equation. In these Galerkin methods, both continuous and discrete in time, the nonlinear coefficient in the differential equation is interpolated into a finite-dimensional function space in order to compute the integrals involved. Asymptotic error estimates of …