SIAM Journal on Numerical Analysis · 1996 · 202 citations · 18 references
ComputingComputational EngineeringPhysicsComputational Fluid DynamicsComputational MechanicsFluid DynamicsConvergence AnalysisError EstimationFinite Volume MethodsNumerical AlgorithmsNumerical ConvergenceNumerical Methods For Differential EquationsConvectionConvection-diffusionConvection-diffusion ModelingFinite Volume DiscretizationStability Of Finite Volume SchemesUpwind SchemesUpwinding Schemes
Derivation, stability and error analysis in both discrete H 1 and L 2 norms for cellcentered finite volume approximations of convection-diffusion problems are presented. Various upwind strategies are investigated. The theoretical results are illustrated by numerical examples.
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THE THEORY OF DIFFERENCE SCHEMES
I.M. KHABAZA · Journal of the London Mathematical Society · 1967 · 1K citations
On the finite volume element method
Zhiqiang Cai · Numerische Mathematik · 1990 · 377 citations
Computing, Computational Engineering, Mechanical Engineering +10