From 58eea3aa24ceb73fbfe1be54f716159393daa78d Mon Sep 17 00:00:00 2001 From: haasdonk <haasdonk@mathematik.uni-stuttgart.de> Date: Wed, 8 May 2024 17:12:32 +0200 Subject: [PATCH] added README.txt --- README.txt | 28 ++++++++++++++++++++++++++++ fem_sector_example.m | 15 +++++++++------ 2 files changed, 37 insertions(+), 6 deletions(-) create mode 100644 README.txt diff --git a/README.txt b/README.txt new file mode 100644 index 0000000..b416537 --- /dev/null +++ b/README.txt @@ -0,0 +1,28 @@ +This directory provides the code for the experiments +to the paper +"Adaptive meshfree approximation for linear +elliptic partial differential equations with +PDE-greedy kernel methods" by +Tizian Wenzel, Daniel Winkle, Gabriele Santin, and Bernard Haasdonk + +More specific: + +For reproducing the FEM convergence table on the sector example +of Section 6.1, please + +a) Install RBmatlab from the website www.morepas.org/software + +The code can be run if RBmatlab from version 16.09 is installed + +b) run the script fem_sector_example.m from this directory + +Caution: + +This operation is very expensive (takes several hours) as hundred of +thousands of point with global coordinates need to be searched and found +in FEM meshes. This is required to be consistent in the error computation +to other approximation techniques using these uniform test grids. + + + + diff --git a/fem_sector_example.m b/fem_sector_example.m index b73fd45..58039e4 100644 --- a/fem_sector_example.m +++ b/fem_sector_example.m @@ -2,13 +2,16 @@ function fem_sector_example(step) %function fem_sector_example(step) % % Demonstration of FEM error convergence for sector example. -% very expensive as point with global coordinates need to be -% searched and found in FEM mesh. But this is required to be consistent -% with other approximation techniques using these uniform grids. -% the code can be run if RBmatlab from version 16.09 is installed -% as obtained from www.morepas.org. +% +% This operation is very expensive (takes several hours) as hundred of +% thousands of point with global coordinates need to be searched and found +% in FEM meshes. This is required to be consistent in the error computation +% to other approximation techniques using these uniform test grids. +% +% The code can be run if RBmatlab from version 16.09 is installed +% as obtained from www.morepas.org/software -% B. Haasdonk 26.7.2023 +% B. Haasdonk 8.5.2024 if nargin < 1 step = 4; -- GitLab