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MeanField_SERiF/docs/man/man3/serif_discretization_forms_divergence.3
Emily Boudreaux 6b57738330 docs(docs): built docs
Note for now much of the docs is LLM written. This was done to save time and focus on code development. The docs have been LOOSLEY reviewed. However, the code itself has been either fully written by hand or fully reviewed. Therefore, the docs should at the moment be seen as a loose resource rather than authoratiative (and this is on top of the general ability for docs to drift)
2026-11-09 14:09:44 -05:00

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.TH "serif::discretization::forms::divergence< TrialT, TestT >" 3 "Version v0.0.1a" "SERiF" \" -*- nroff -*-
.ad l
.nh
.SH NAME
serif::discretization::forms::divergence< TrialT, TestT > \- The divergence form represents the divergence operation in the discretization framework\&. It takes a trial term and a test term as template parameters and defines the operand types for the divergence operation\&.
.SH SYNOPSIS
.br
.PP
.PP
\fR#include <forms\&.hpp>\fP
.PP
Inherits \fBserif::discretization::forms::form\fP\&.
.SS "Public Types"
.in +1c
.ti -1c
.RI "using \fBtrial_type\fP = TrialT"
.br
.RI "The trial term type for the divergence form\&. "
.ti -1c
.RI "using \fBtest_type\fP = TestT"
.br
.RI "The test term type for the divergence form\&. "
.ti -1c
.RI "using \fBoperand_types\fP = \fButils::types::TypeList\fP<\fBOperand\fP<TrialT, \fBOperation::Divergence\fP>, \fBOperand\fP<TestT>>"
.br
.RI "Type list of operand types for the divergence form, used for compile-time reflection and iteration over the operands\&. "
.in -1c
.SS "Static Public Attributes"
.in +1c
.ti -1c
.RI "static constexpr std::string_view \fBname\fP = \fBmeta::template_name\fP<\fBdivergence\fP>()"
.br
.RI "Compile time reflected name of the form\&. "
.in -1c
.SH "Detailed Description"
.PP
.SS "template<blocks::Term TrialT, blocks::Term TestT>
.br
struct serif::discretization::forms::divergence< TrialT, TestT >"The divergence form represents the divergence operation in the discretization framework\&. It takes a trial term and a test term as template parameters and defines the operand types for the divergence operation\&.
.PP
\fBTemplate Parameters\fP
.RS 4
\fITrialT\fP The trial term type\&.
.br
\fITestT\fP The test term type\&.
.RE
.PP
\fBNote\fP
.RS 4
The divergence form has an order reduction of 1 for the trial term to satisfy the Inf-Sup condition, while the test term has no order reduction\&. You can see where this reduction is defined in code by looking at the \fBform_traits\&.hpp\fP file (\fBSpecialization for divergence\fP)\&.
.RE
.PP
.SH "Member Typedef Documentation"
.PP
.SS "template<blocks::Term TrialT, blocks::Term TestT> using \fBserif::discretization::forms::divergence\fP< TrialT, TestT >::operand_types = \fButils::types::TypeList\fP<\fBOperand\fP<TrialT, \fBOperation::Divergence\fP>, \fBOperand\fP<TestT>>"
.PP
Type list of operand types for the divergence form, used for compile-time reflection and iteration over the operands\&.
.SS "template<blocks::Term TrialT, blocks::Term TestT> using \fBserif::discretization::forms::divergence\fP< TrialT, TestT >::test_type = TestT"
.PP
The test term type for the divergence form\&.
.SS "template<blocks::Term TrialT, blocks::Term TestT> using \fBserif::discretization::forms::divergence\fP< TrialT, TestT >::trial_type = TrialT"
.PP
The trial term type for the divergence form\&.
.SH "Member Data Documentation"
.PP
.SS "template<blocks::Term TrialT, blocks::Term TestT> std::string_view \fBserif::discretization::forms::divergence\fP< TrialT, TestT >::name = \fBmeta::template_name\fP<\fBdivergence\fP>()\fR [static]\fP, \fR [constexpr]\fP"
.PP
Compile time reflected name of the form\&.
.SH "Author"
.PP
Generated automatically by Doxygen for SERiF from the source code\&.