SIAM Journal on Numerical Analysis · 1974 · 108 citations · 10 references
ComputingComputational EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsConvergence AnalysisError EstimationFinite Difference MethodsFinite Element DiscretizationFinite Element FormulationNumerical Methods For Differential EquationsA Priori Error AnalysisA Priori Error EstimatesA Priori Error EstimationFinite Difference ApproximationInitial-boundary Value ProblemsNonlinear Boundary-value ProblemsNonlinear Initial Value ProblemsParabolic Boundary-value Problems
A priori error estimates are derived for algebraically linear discrete-time Galerkin methods for approximating solutions of nonlinear parabolic initial-boundary value problems. The methods discussed result from applying a Galerkin procedure in the space variables and using three-level finite difference approximations in the time variable.
10
Galerkin Methods for Parabolic Equations
Jim Douglas, Todd Dupont · SIAM Journal on Numerical Analysis · 1970 · 396 citations