gradientetermen
Gradientetermen, meaning gradient terms in Dutch, refer to parts of a function, energy functional, or physical Lagrangian that involve spatial derivatives of a field. In practice, they include expressions containing the gradient operator ∇ acting on a scalar or vector field, such as ∇u or ∇φ, and terms built from these gradients like |∇u|^2.
Common contexts where gradient terms appear include calculus of variations, partial differential equations, image processing, and
Mathematically, gradient terms influence the Euler–Lagrange equations, often leading to terms like the divergence of a
In analysis and applications, gradient terms underpin Sobolev norms and energy-based regularization used in image denoising,