fm_int_mesh_2d: Subset integration on a mesh

In fmesher: Triangle Meshes and Related Geometry Tools

Subset integration on a mesh

Description

Integration methods for spatial samplers on fm_mesh_2d meshes.

Usage

fm_int_mesh_2d(samplers, domain, name = NULL, int.args = NULL, ...)

fm_int_mesh_2d_NULL(samplers, domain, name = NULL, int.args = NULL, ...)

## S3 method for class 'sf'
fm_int_mesh_2d(samplers, domain, name = NULL, int.args = NULL, ...)

## S3 method for class 'sfc_POINT'
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)

## S3 method for class 'sfc_MULTIPOINT'
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)

## S3 method for class 'sfc_LINESTRING'
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)

## S3 method for class 'sfc_MULTILINESTRING'
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)

## S3 method for class 'sfc_POLYGON'
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)

## S3 method for class 'sfc_MULTIPOLYGON'
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)

## S3 method for class 'sfc_GEOMETRY'
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)

## S3 method for class 'Spatial'
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  format = NULL,
  ...
)

## S3 method for class 'fm_segm'
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  format = NULL,
  ...
)

Arguments

samplers	For single domain fm_int methods, an object specifying one or more subsets of the domain, and optional weighting in a weight variable. For fm_int.list, a list of sampling definitions, where data frame elements may contain information for multiple domains, in which case each row represent a separate tensor product integration subspace.
domain	Functional space specification; single domain or a named list of domains
name	For single-domain methods, the variable name to use for the integration points. Default 'x'
int.args	List of arguments passed to line and integration methods. method: "stable" (to aggregate integration weights onto mesh nodes) or "direct" (to construct a within triangle/segment integration scheme without aggregating onto mesh nodes) nsub1, nsub2: integers controlling the number of internal integration points before aggregation. Points per triangle: (nsub2+1)^2. Points per knot segment: nsub1
...	Additional arguments passed on to other methods
format	character; determines the output format, as either "sf" (default for fm_mesh_2d when the sampler is NULL), "numeric" (default for fm_mesh_1d), "bary", or "sp". When NULL, determined by the domain and sampler types.

Value

A list, sf, or Spatial object with point coordinate information and additional columns weight and .block

Methods (by class)

• fm_int_mesh_2d(sf): sf integration

• fm_int_mesh_2d(sfc_POINT): sfc_POINT integration

• fm_int_mesh_2d(sfc_MULTIPOINT): sfc_MULTIPOINT integration

• fm_int_mesh_2d(sfc_LINESTRING): sfc_LINESTRING integration

• fm_int_mesh_2d(sfc_MULTILINESTRING): sfc_MULTILINESTRING integration

• fm_int_mesh_2d(sfc_POLYGON): sfc_POLYGON integration

• fm_int_mesh_2d(sfc_MULTIPOLYGON): sfc_MULTIPOLYGON integration

• fm_int_mesh_2d(sfc_GEOMETRY): sfc_GEOMERY integration

• fm_int_mesh_2d(Spatial): Spatial integration

• fm_int_mesh_2d(fm_segm): fm_segm integration

Functions

• fm_int_mesh_2d_NULL(): Full domain integration

Examples

str(fm_int_mesh_2d(samplers = NULL, domain = fmexample$mesh))

fmesher documentation built on Aug. 9, 2025, 1:10 a.m.