Uniform shift estimates for transmission problems and optimal rates of convergence for the parametric finite element method

Keyphrases

• Optimal Convergence Rate 100%
• Transmission Problem 100%
• Bounded Domain 50%
• Approximate Solution 50%
• Cohen 50%
• Jump Discontinuity 50%
• Regularity Results 50%
• Weighted Sobolev Spaces 50%
• Banach Space 50%
• Value Transmission 50%
• Galerkin Approximation 50%
• Quasi-optimal 50%
• Uncertainty Quantification 50%
• Parametric Family 50%
• Well-posedness Results 50%
• Boundary Values 50%
• Lagrange Polynomials 50%
• Polynomial Chaos Expansion 50%
• Mixed Dirichlet-Neumann Boundary Conditions 50%
• Order of Convergence 50%
• Piecewise Smooth Boundary 50%
• Partial Differential Operators 50%
• Shifting Theorem 50%
• Algebraic Order 50%
• Strongly Elliptic 50%
• Approximation Space 50%
• Elliptic PDE 50%
• Elliptic Boundary 50%

Mathematics

• Finite Element Method 100%
• Parametric 100%
• Transmission Problem 100%
• Polynomial 66%
• Bounded Domain 33%
• Partial Differential Equation 33%
• Jump Discontinuity 33%
• Sobolev Space 33%
• Boundary Value 33%
• Posedness 33%
• Parametric Family 33%
• Piecewise Smooth 33%
• Neumann Boundary Condition 33%
• Partial Differential Operator 33%
• Open Subset 33%
• Constant Function 33%
• Banach Space 33%
• Uncertainty Quantification 33%