The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures

Douglas, Jim; Dupont, Todd

doi:10.1090/S0025-5718-1975-0502033-7

The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures
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by Jim Douglas and Todd Dupont PDF

Math. Comp. 29 (1975), 360-389 Request permission

Abstract:

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 optimal order are produced.

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