New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints

Mathematics

• Parabolic 100%
• Finite Element Method 100%
• Pointwise 100%
• State Constraint 100%
• Error Estimate 100%
• Optimal Control Problem 100%
• Necessary Optimality Conditions 66%
• Discretization 33%
• Objective Function 33%
• Stationarity 33%
• Concludes 33%
• Regularity Property 33%
• Partial Differential Equation 33%
• Differentiability 33%
• Differential Operator 33%
• Optimal Control Theory 33%
• Heat Equation 33%
• Classical Approach 33%
• Adjoint State 33%
• Numerical Experiment 33%
• Spatial Dimension 33%
• Lagrange Multiplier Method 33%

Keyphrases

• Finite Element Error Estimates 100%
• Regularity Results 100%
• Pointwise State Constraints 100%
• Parabolic Optimal Control Problems 100%
• First-order Necessary Optimality Conditions 66%
• Numerical Experiments 33%
• Spatial Dimension 33%
• Stationarity 33%
• Optimal Control 33%
• Regularity Properties 33%
• Differentiability 33%
• Control Constraints 33%
• State Constraints 33%
• Differential Operator 33%
• PDE 33%
• Lagrange multiplier 33%
• Linear-quadratic Optimal Control Problem 33%
• Locally Optimal 33%
• Heat Equation 33%
• State-constrained 33%
• Adjoint State 33%
• State-constrained Problems 33%
• Uniform Control 33%
• Improved Regularity 33%
• Slater Point 33%

Engineering

• Error Estimate 100%
• Optimal Control Problem 100%
• Finite Element Analysis 100%
• Optimality 66%
• Numerical Experiment 33%
• Spatial Dimension 33%
• Lagrange Multiplier Method 33%
• Control Constraint 33%
• Constrained Problem 33%
• Objective Function 33%
• Stationarity 33%
• Discretization 33%
• Optimal Control 33%
• Partial Differential Equation 33%