PetscConvEstGetConvRate#
Returns an estimate of the convergence rate for the discretization
Synopsis#
#include "petscconvest.h"
PetscErrorCode PetscConvEstGetConvRate(PetscConvEst ce, PetscReal alpha[])
Not collective
Input Parameter#
ce - The
PetscConvEst
object
Output Parameter#
alpha - The convergence rate for each field
Options database keys#
Notes#
The convergence rate alpha is defined by
|| u_\Delta - u_exact || < C \Delta^alpha
where u_\Delta is the discrete solution, and Delta is a measure of the discretization size. We usually use h for the spatial resolution and \Delta t for the temporal resolution.
We solve a series of problems using increasing resolution (refined meshes or decreased timesteps), calculate an error based upon the exact solution in the DS, and then fit the result to our model above using linear regression.
See Also#
PetscConvEstSetSolver()
, PetscConvEstCreate()
, PetscConvEstGetConvRate()
, SNESSolve()
, TSSolve()
Level#
intermediate
Location#
Index of all SNES routines
Table of Contents for all manual pages
Index of all manual pages