Module fenris::error

Functionality for error estimation.

Structs

• SpaceInterpolationFn
  Interpret an interpolating finite element space and associated interpolation weights as a SolutionFunction.

Traits

• SolutionFunction
  A function $u: \mathbb{R}^d \rightarrow \mathbb{R}^s$ of the form $u(x)$ used to represent a reference solution.
• SolutionGradient
  The gradient $\nabla u$ of a function $u: \mathbb{R}^d \rightarrow \mathbb{R}^s$ of the form $u(x)$ used to represent a reference solution.

Functions

• estimate_H1_seminorm_error
  Estimate the squared $H^1$ seminorm error $|u_h - u |^2_{H^1}$ on the given finite element space with the given solution weights and quadrature table.
• estimate_H1_seminorm_error_squared
  Estimate the squared $H^1$ seminorm error $| u_h - u |^2_{H^1}$ on the given finite element space with the given solution weights and quadrature table.
• estimate_L2_error
  Estimate the $L^2$ error $\norm{u_h - u}_{L^2}$ on the given finite element space with the given solution weights and quadrature table.
• estimate_L2_error_squared
  Estimate the squared $L^2$ error $\norm{u_h - u}^2_{L^2}$ on the given finite element space with the given solution weights and quadrature table.
• estimate_element_H1_seminorm_error
  Estimate the $H^1$ seminorm error $\seminorm{u_h - u}_{H^1}$ on the given element with the given basis weights and quadrature points.
• estimate_element_H1_seminorm_error_squared
  Estimate the squared $H^1$ seminorm error $\seminorm{u_h - u}^2_{H^1}$ on the given element with the given basis weights and quadrature points.
• estimate_element_L2_error
  Estimate the $L^2$ error $\norm{u_h - u}_{L^2}$ on the given element with the given basis weights and quadrature points.
• estimate_element_L2_error_squared
  Estimate the squared $L^2$ error $\norm{u_h - u}^2_{L^2}$ on the given element with the given basis weights and quadrature points.