Applied Mathematics Letters · 2023 · 37 citations · 3 references
ComputingComputational EngineeringComputational MechanicsDifferential EquationsFinite Element MethodsConvergence AnalysisFinite Element DiscretizationFinite Element FormulationNonlinear Finite Element AnalysisNumerical StabilityElement FormulationStabilizationStabilized Formulations
In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differential operator.
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