error_estimation.lua File Reference

Functions
function	dirichletBnd2d (x, y, t)
function	dirichletBnd3d (x, y, z, t)
function	source2d (x, y, t)
function	source3d (x, y, z, t)

Variables
parameterNumber	dim = 2
parameterString	grid = "Examples/grids/laplace_sample_grid_"
parameterNumber	maxLvl = 15
parameterNumber	refTol = 5e

Function Documentation

dirichletBnd2d()

function dirichletBnd2d	(	x	,
		y	,
		t
	)

location: /home/runner/work/docs/docs/ug4/apps/Examples / error_estimation.lua :64-67

function dirichletBnd2d(x, y, t)
  local r = math.sqrt(x*x + y*y)
  return true, 1.0 / (1.0 + math.exp(-200*(r-0.8)))
end

dirichletBnd3d()

function dirichletBnd3d	(	x	,
		y	,
		z	,
		t
	)

location: /home/runner/work/docs/docs/ug4/apps/Examples / error_estimation.lua :75-78

function dirichletBnd3d(x, y, z, t)
  local r = math.sqrt(x*x + y*y + z*z)
  return true, 1.0 / (1.0 + math.exp(-200*(r-0.8)))
end

source2d()

function source2d	(	x	,
		y	,
		t
	)

location: /home/runner/work/docs/docs/ug4/apps/Examples / error_estimation.lua :58-63

function source2d(x, y, t)
  local r = math.sqrt(x*x + y*y)
  if r < 1e-9 then return 0.0 end
  return -200*(1.0 + math.exp(-200*r+160) - 200*r + 200*math.exp(-200*r+160)*r)
          math.exp(-200*r+160) * math.pow(1.0 + math.exp(-200*r+160),-3) / r
end

source3d()

function source3d	(	x	,
		y	,
		z	,
		t
	)

location: /home/runner/work/docs/docs/ug4/apps/Examples / error_estimation.lua :69-74

function source3d(x, y, z, t)
  local r = math.sqrt(x*x + y*y + z*z)
  if r < 1e-9 then return 0.0 end
  return -400*(1.0 + math.exp(-200*r+160) - 100*r + 100*math.exp(-200*r+160)*r)
          math.exp(-200*r+160) * math.pow(1.0 + math.exp(-200*r+160),-3) / r
end

Variable Documentation

dim

parameterNumber dim = 2

grid

parameterString grid = "Examples/grids/laplace_sample_grid_"

maxLvl

parameterNumber maxLvl = 15

refTol

parameterNumber refTol = 5e