A Hierarchical Bayesian Setting for an Inverse Problem in Linear Parabolic PDEs with Noisy Boundary Conditions

Mathematics

• Boundary Condition 100%
• PDE 100%
• Parabolic 100%
• Gaussian Distribution 100%
• Bayesian Setting 100%
• Thermal Diffusivity 100%
• Heat Equation 33%
• Synthetic Data 33%
• Laplace Approximation 33%
• Initial Condition 33%
• Posterior Distribution 33%
• Likelihood Function 33%
• Laplace Method 33%
• Initial-Boundary Value Problem 33%
• Random Variable 33%
• Forward Problem 33%
• Markov Chain Monte Carlo 33%
• Random Field 33%
• Information Gain 33%
• Bayesian Approach 33%
• Boundary Value 33%

Keyphrases

• Hierarchical Bayesian Model 100%
• Boundary Values 33%
• Lognormal Random Variable 33%
• Predictive Posterior Distribution 33%
• Dirichlet Boundary 33%
• Lognormal Random Field 33%
• Gaussian Prior 33%