SIAM Journal on Numerical Analysis · 2002 · 147 citations · 26 references
Numerical AnalysisAbstract FrameworkCompressible FlowEngineeringVariational AnalysisIncompressible FlowFluid MechanicsIncompressible FlowsNumerical SimulationSemi-implicit MethodStokes ProblemFunctional AnalysisTensor Product MeshesApproximation TheoryBoundary Element MethodNumerical Method For Partial Differential Equation
We consider several mixed discontinuous Galerkin approximations of the Stokes problem and propose an abstract framework for their analysis. Using this framework, we derive a priori error estimates for hp-approximations on tensor product meshes. We also prove a new stability estimate for the discrete divergence bilinear form.
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