From: Johannes Heinz <43043310+jh66637@users.noreply.github.com> Date: Sun, 30 Jun 2024 09:07:14 +0000 (+0200) Subject: fix typos X-Git-Tag: v9.6.0-rc1~141^2~2 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=fa89892aa30478d5c0209ca463bb2eee8d118ddf;p=dealii.git fix typos --- diff --git a/examples/step-89/doc/intro.dox b/examples/step-89/doc/intro.dox index 634bc88f01..c948e1a7a3 100644 --- a/examples/step-89/doc/intro.dox +++ b/examples/step-89/doc/intro.dox @@ -217,15 +217,17 @@ direction, and `_p` corresponds to $K^{+}$, the neighbor cell in *plus* normal direction): In DG methods we have to evaluate fluxes over element faces. -Exemplarily for an upwind like flux $u^*(\mathbf{x}) = u^+(\mathbf{x})$ over element face $\partial K$ we have to compute +Exemplarily for an upwind-like flux $u^*(\mathbf{x}) = u^+(\mathbf{x})$ +over element face $\partial K$ we have to compute @f[ F^{\partial K} = \left(\varphi^-, u^+\right)_{\partial K} \approx \sum_q \varphi^-(\mathbf{x}_q^{\partial K})\ u^+(\mathbf{x}_q^{\partial K})\ w_q^{\partial K} |J_q|^{\partial K}. @f] `FEFaceEvaluation::gather_evaluate(src, EvaluationFlags::values)` and `FEFaceEvaluation::get_value(q)` extract the value at quadrature point $\mathbf{x}_q^{\partial K}$ from `src`. `FEFaceEvaluation::submit_value(value, q)` -multiplies the value with the quadrature weight and the Jacobi determinant at $\mathbf{x}_q^{\partial K}$. -Eventually `FEFaceEvaluation::integrate_scatter(EvaluationFlags::values, dst)` tests all submitted values by the -basis function and writes the result to `dst`. The corresponding code reads +multiplies the value with the quadrature weight and the Jacobian determinant at $\mathbf{x}_q^{\partial K}$. +Eventually `FEFaceEvaluation::integrate_scatter(EvaluationFlags::values, dst)` multiplies the values +queued for evaluation by `FEFaceEvaluation::submit_value()` by the value of the +basis functions and writes the result to `dst`. The corresponding code reads @code const auto face_function =