Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators

Keyphrases

• 2D Space 33%
• Approximate Solution 33%
• Cauchy Data 66%
• Cauchy Problem 100%
• Collocation Points 33%
• Decomposition Strategy 33%
• Discrete Ill-posed 33%
• Elliptic Differential Operator 33%
• Elliptic Operators 100%
• Generalized Cross-validation 33%
• L-curve 33%
• Linear Combination 33%
• Main Idea 33%
• Method of Fundamental Solutions 100%
• Non-smooth Geometry 33%
• Numerical Results 33%
• Point Source 33%
• Regularization Method 100%
• Regularization Parameter 33%
• Resultant Matrix 33%
• Ruler 33%
• Singular Value Decomposition 33%
• Solution Domain 33%
• Three-dimensional Space 33%
• Tikhonov Regularization 33%

Mathematics

• Approximate Solution 20%
• Approximates 20%
• Cross-Validation 20%
• Differential Operator 20%
• Elliptic Operator 100%
• Fundamental Solution 20%
• Generalized Cross 20%
• Linear Combination 20%
• Matrix (Mathematics) 20%
• Method of Fundamental Solution 100%
• Regularization 100%
• Singular Value Decomposition 20%
• Source Point 20%

Engineering

• Approximate Solution 25%
• Cauchy Problem 100%
• Collocation Point 25%
• Linear Combination 25%
• Main Idea 25%
• Regularization 100%
• Regularization Parameter 25%
• Singular Value Decomposition 25%
• Singularities 25%
• Solution Domain 25%
• Source Point 25%