Abstract
A modified backward difference time discretization is considered for Galerkin approximations to the solution of the nonlinear parabolic equation c(x, u)ut−▽·(a(x, u)▽u)=f(x, u). This procedure allows efficient use of such direct methods for solving linear algebraic equations as nested dissection. Optimal order error estimates and almost optimal order work requirements are derived.
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© 1978 Springer-Verlag
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Douglas, J., Dupont, T., Percell, P. (1978). A time-stepping method for Galerkin approximations for nonlinear parabolic equations. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 630. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067697
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DOI: https://doi.org/10.1007/BFb0067697
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