$$ \gdef\pd#1#2{\frac{\partial #1}{\partial #2}} \gdef\d#1{\, \mathrm{d}#1} \gdef\dx{\d{x}} \gdef\tr#1{\operatorname{tr} (#1)} $$ $$ \gdef\norm#1{\left \lVert #1 \right\rVert} \gdef\seminorm#1{| #1 |} $$ $$ \gdef\vec#1{\mathbf{\boldsymbol{#1}}} \gdef\dvec#1{\bar{\vec #1}} $$
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Functionality for error estimation.

Functions

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 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 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 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 the $H^1$ seminorm error $\seminorm{u_h - u}_{H^1}$ on the given element with the given basis weights and quadrature points.

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 the $L^2$ error $\norm{u_h - u}_{L^2}$ on the given element with the given basis weights and quadrature points.

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.