An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients

Keyphrases

• Approximate Solution 100%
• Roughness Coefficient 100%
• Generalized multiscale Finite Element Method (GMsFEM) 100%
• Elliptic PDE 100%
• Multiscale Basis Functions 80%
• Fine Mesh 60%
• Coarse Mesh 60%
• Multigrid Method 40%
• Two-level 40%
• Smoothing Methods 40%
• Adaptive multi-scale 40%
• Local Boundary Conditions 40%
• Numerical Examples 20%
• Global Information 20%
• Numerical Solution 20%
• High Contrast 20%
• Interface Problem 20%
• Adaptive Method 20%
• Global-local 20%
• Multiscale Method 20%
• Convergence Analysis 20%
• Function-based 20%
• Information Transfer 20%
• Approximation Property 20%
• Restriction Operator 20%
• Galerkin Projection 20%
• Prolongation Operator 20%
• Solution of Equations 20%
• Harmonic Coordinates 20%
• Scale Coefficient 20%
• Coefficient Problems 20%
• Mesh Smoothing 20%
• Convection-dominated Diffusion Problem 20%
• Elliptic Equations 20%

Mathematics

• Finite Element Method 100%
• Partial Differential Equation 100%
• Basis Function 100%
• Numerical Solution 80%
• Approximates 60%
• Iteration Step 60%
• Multigrid Method 40%
• Approximate Solution 40%
• Boundary Condition 40%
• Numerical Example 20%
• Information Transfer 20%
• Local Information 20%
• Elliptic Equation 20%
• Convergence Analysis 20%
• Approximation Property 20%

Engineering

• Multiscale 100%
• Finite Element Analysis 100%
• Partial Differential Equation 100%
• Basis Function 62%
• Numerical Solution 50%
• Fine Mesh 37%
• Iteration Step 37%
• Coarse Mesh 37%
• Multigrid 25%
• Approximate Solution 25%
• Boundary Condition 25%
• Numerical Example 12%
• Adaptive Method 12%
• Diffusion Problem 12%
• Local Information 12%
• Multiscale Coefficient 12%
• Harmonics 12%