Numerical methods for static shallow shells lying over an obstacle
Paolo Piersanti, Xiaoqin Shen
Abstract
In this paper, a finite element analysis to approximate the solution of an obstacle problem for a static shallow shell confined in a half space is presented. To begin with, we establish, by relying on the properties of enriching operators, an estimate for the approximate bilinear form associated with the problem under consideration. Then, we conduct an error analysis and we prove the convergence of the proposed numerical scheme.
Topics & Concepts
ObstacleMathematicsObstacle problemNumerical analysisFinite element methodTheory of computationConvergence (economics)Scheme (mathematics)Bilinear interpolationSpace (punctuation)Applied mathematicsMathematical analysisBilinear formMathematical optimizationAlgorithmComputer scienceVariational inequalityPhysicsThermodynamicsStatisticsPolitical scienceEconomicsOperating systemEconomic growthLawAdvanced Numerical Methods in Computational MathematicsNumerical methods in engineeringContact Mechanics and Variational Inequalities