An adaptive multilevel approach to parabolic equations I. General theory and 1D implementation

Mathematics

• Discretization 100%
• Time Step 100%
• Parabolic 100%
• Partial Differential Equation 100%
• Finite Element Method 100%
• Time Discretization 100%
• Asymptotic Expansion 100%
• Parabolic Equation 100%
• Hilbert Space 100%
• Space Dimension 100%
• Numerical Example 100%
• Finite Element Approximation 100%
• Step Method 100%

Keyphrases

• Multilevel Approach 100%
• Parabolic Equation 100%
• Adaptivity 50%
• Numerical Examples 50%
• Numerical Results 50%
• Algorithmic Approach 50%
• Hilbert Space 50%
• Asymptotic Expansion 50%
• Space Discretization 50%
• Extrapolation Method 50%
• Time Discretization 50%
• Adaptive Grid 50%
• Finite Element Approximation 50%
• Multilevel Finite Elements 50%
• Parabolic PDEs 50%
• Single-step Method 50%
• Grid Control 50%
• Finite Element Spaces 50%

Engineering

• Discretization 100%
• Numerical Example 50%
• Extrapolation Method 50%
• Space Dimension 50%
• Finite Element Approximation 50%
• Control Grid 50%
• Single-Step Method 50%
• Asymptotic Expansion 50%
• Finite Element Analysis 50%
• Partial Differential Equation 50%