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 optimal L2 error estimates for the continuous Crank - Nicolson and Extrapolated Crank - Nicolson approximations.
Original languageEnglish
Pages (from-to)54-66
Number of pages13
JournalAequationes Mathematicae
Issue number1
Publication statusPublished - 1 Dec 1990
Externally publishedYes


  • AMS (1980) subject classification: Primary 65N15, 65N30

ASJC Scopus subject areas

  • Mathematics(all)
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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