rbf_elliptic.m File Reference

function for meshless collocation of fem-problem. step can be used to choose several cases. step=1 does not need to be called directly but is used by the other steps. So call step=2, 3 and change options there. More...

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Functions
function res =	rbf_elliptic (step, params)
	function for meshless collocation of fem-problem. step can be used to choose several cases. step=1 does not need to be called directly but is used by the other steps. So call step=2, 3 and change options there.
function res =	rbfelliptic>grad_phi_vec_aux (x, kernel_derivative, n, X)

Detailed Description

function for meshless collocation of fem-problem. step can be used to choose several cases. step=1 does not need to be called directly but is used by the other steps. So call step=2, 3 and change options there.

Definition in file rbf_elliptic.m.

Function Documentation

function res = rbf_elliptic	(		step,
			params
	)

function for meshless collocation of fem-problem. step can be used to choose several cases. step=1 does not need to be called directly but is used by the other steps. So call step=2, 3 and change options there.

step 1: single solve. params.gamma can be set, params.colpoints_choice can be set to 1(random) or 2(structured). params.model_choice = 1 (poisson) or 2 (singular elliptic) If params.no_plots is set, then no plots and no screen output are performed. Output fields are res.u_h and the l2-error res.err and condition number res.cond

working example for poisson

working example for difficult ellipic model

determine errors and matrix conditions over a range of gammas and plot of error by repeated calls of step 1. Finds optimal gamma

Parameters

step	step
params	params

Return values

res

res

Required fields of params:

• no_plots —  no plots
• gamma —  gamma
• colpoints_choice —  colpoints choice
• model_choice —  model choice
• refinements —  refinements

Generated fields of res:

• u_h —  u h
• err —  err
• cond —  cond
• gammas —  gammas
• errs —  errs
• conds —  conds
• gamma_opt —  gamma opt

Definition at line 17 of file rbf_elliptic.m.