Observation matrix for space-time models

Observation matrix for space-time models

Usage

rSPDE.Ast(
  mesh_space = NULL,
  space_loc = NULL,
  mesh_time = NULL,
  time_loc = NULL,
  graph = NULL,
  obs.s = NULL,
  obs.t = NULL,
  ind.field = NULL
)

Arguments

mesh_space

mesh object for models on 1d or 2d domains

space_loc

mesh locations for models on 1d domains

mesh_time

mesh object for time discretization

time_loc

mesh locations for time discretization

graph

MetricGraph object for models on metric graphs

obs.s

spatial locations of observations

obs.t

time points for observations

ind.field

indices for field (if Dirichlet conditions are used)

Value

Observation matrix linking observation locations to mesh nodes

Examples

s <- seq(from = 0, to = 20, length.out = 11)
t <- seq(from = 0, to = 20, length.out = 5)
n.obs <- 10
obs.loc <- data.frame(x = max(s)*runif(n.obs), 
t = max(t)*runif(n.obs))
A <- rSPDE.Ast(space_loc = s,time_loc = t, 
               obs.s = obs.loc$x, obs.t = obs.loc$t)