International Journal for Numerical Methods in Fluids · 1988 · 25 citations · 11 references
ComputingComputational EngineeringFinite Element AnalysisFinite Element MethodsFluid DynamicsBoundary-layer TheoryConvergence AnalysisFinite Element DiscretizationFinite Element FormulationNumerical Linear AlgebraBoundary Integral Equation FormulationsCapillary EffectsCapillary Force EffectsFinite Element Weak FormFree-boundary ProblemsLinearizationNumerical Solutions Of Partial Differential EquationsViscous Boundary Layer
Abstract In this paper a total linearization method is derived for solving steady viscous free boundary flow problems (including capillary effects) by the finite element method. It is shown that the influence of the geometrical unknown in the totally linearized weak formulation can be expressed in terms of boundary integrals. This means that the implementation of the method is simple. Numerical experiments show that the iterative method gives accurate results and converges very fast.
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Quasi-Newton Methods, Motivation and Theory
J. E. Dennis, Jorge J. Morè · SIAM Review · 1977 · 1.5K citations · Full text
Springer series in computational physics
J.W. Eastwood · Computer Physics Communications · 1984 · 345 citations