L. V. Kantorovich and V. I. Krylov. Approximate Methods of Higher Analysis. Interscience Publishers, 1958
I just heard one time of Kantorovich method from someone working on a meshfree method. Search for "Scan and Solve". That will lead you to the meshfree method I am talking about and possibly you may find additional information.
The exttended Kantorovich method is an iterative variational method. You first start of with a guess as for the functional form in a given direction and then solve for the functional form in the other direction. This then enables a better functional fit in the othe direction, by minimising the energy, etc. I think the formulation was first suggested by Prof. A. D. Kerr in the 60's. I wrote several papers on it in the 70's and early 80's.
but can any one offer a good paper with EKM that explain this method more clear and use it for simple problem?
for which problems is this method usually used?
can we use it for force vibration of simple euler bernouli beam with a force depend on the displcement of one point of beam(force is related with the displacement.F(u(L,t)) ?
I want to solve force vibration of a beam with a concentrated force that change with displacement.which method is better?(finite element or EKM or others?)
Comments
mech.iust.ac.ir
mech.iust.ac.ir
Hi
The extended kantorovich is used to change a partial diffrential equation to double ordinary deffrential equation.but I need more details.
Re: Extended Kantorovich method
Maybe you can find some other details here:
L. V. Kantorovich and V. I. Krylov. Approximate Methods of Higher Analysis. Interscience Publishers, 1958
I just heard one time of Kantorovich method from someone working on a meshfree method. Search for "Scan and Solve". That will lead you to the meshfree method I am talking about and possibly you may find additional information.
Extended Kantorovich method
The exttended Kantorovich method is an iterative variational method. You first start of with a guess as for the functional form in a given direction and then solve for the functional form in the other direction. This then enables a better functional fit in the othe direction, by minimising the energy, etc. I think the formulation was first suggested by Prof. A. D. Kerr in the 60's. I wrote several papers on it in the 70's and early 80's.
EKM
mech.iust.ac.ir
Thanks you for your responses.
but can any one offer a good paper with EKM that explain this method more clear and use it for simple problem?
for which problems is this method usually used?
can we use it for force vibration of simple euler bernouli beam with a force depend on the displcement of one point of beam(force is related with the displacement.F(u(L,t)) ?
I want to solve force vibration of a beam with a concentrated force that change with displacement.which method is better?(finite element or EKM or others?)
Thanks in advance