fmesher (version 0.3.0)

fm_int_mesh_2d: 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 sf
fm_int_mesh_2d(samplers, domain, name = NULL, int.args = NULL, ...)
# S3 method for sfc_POINT
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)
# S3 method for sfc_MULTIPOINT
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)
# S3 method for sfc_LINESTRING
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)
# S3 method for sfc_MULTILINESTRING
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)
# S3 method for sfc_POLYGON
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)
# S3 method for sfc_MULTIPOLYGON
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)
# S3 method for sfc_GEOMETRY
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  .weight = rep(1, NROW(samplers)),
  ...
)
# S3 method for Spatial
fm_int_mesh_2d(
  samplers,
  domain,
  name = NULL,
  int.args = NULL,
  format = NULL,
  ...
)

Value

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

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.

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

Functions

• fm_int_mesh_2d_NULL(): Full domain integration

Examples

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