Two-Level Discrete-Time Galerkin Approximations for Second Order Nonlinear Parabolic Partial Differential Equations
作者： HH Rachford , Jr
DOI: 10.1137/0710084
关键词: Nonlinear system 、 Mathematics 、 Mathematical analysis 、 Galerkin method 、 Discontinuous Galerkin method 、 Discrete time and continuous time 、 Partial differential equation 、 Algebraic number 、 Parabolic partial differential equation 、 Elliptic partial differential equation
摘要: Galerkin methods for nonlinear parabolic problems are studied. For suitable space domains in $\mathbb{R}^3 $, two-level discrete-time proposed which shown to yield optimal order of approximation a more general class problem than has been analyzed heretofore. An induction argument is used treat capacity terms. One method studied yields second convergence time while requiring the solution linear algebraic system only once per step.
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