A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints

Susanne C. Brenner, Li-yeng Sung, Zhiyu Tan

2021Mathematical Models and Methods in Applied Sciences22 citationsDOI

Abstract

We design and analyze a [Formula: see text] virtual element method for an elliptic distributed optimal control problem with pointwise state constraints. Theoretical estimates and corroborating numerical results are presented.

Topics & Concepts

PointwiseState (computer science)Element (criminal law)Control (management)Computer scienceOptimal controlFinite element methodMathematicsMathematical optimizationApplied mathematicsMathematical analysisAlgorithmArtificial intelligenceEngineeringStructural engineeringLawPolitical scienceAdvanced Numerical Methods in Computational MathematicsAdvanced Mathematical Modeling in EngineeringComputational Fluid Dynamics and Aerodynamics