Abstract
Finite element Galerkin solutions for three classes of nonlinear evolution equations are considered. The existence, uniqueness and convergence of the fully discrete Crank-Nicolson scheme are discussed. At last a linearized Galerkin approximation is presented, which is also second order accurate in time fully discrete scheme.
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Omrani, K. Optimal L ∞ error estimates for finite element Galerkin methods for nonlinear evolution equations. J. Appl. Math. Comput. 26, 247–262 (2008). https://doi.org/10.1007/s12190-007-0018-z
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DOI: https://doi.org/10.1007/s12190-007-0018-z