Hello, has anyone ever used the Gauss-Lobbato-Legendre quadrature quadrature with reduced integration?

More Christoforos S. Rekatsinas's questions See All

Does anyone know if a custom element shape can be programmed in Abaqus?

Hello I am using Abaqus for my numerical models. I want to create a user element with more nodes than the usual elements and in different place. I understand that following this i have to provide...

02 March 2015 7,037 4 View

Do you know good and user-friendly programs to measure plant quantitative traits?

For my research i will need to measure plant quantitative traits (especially leaves area and roots length, but would be nice to add some more information). I recently discovered...

01 March 2021 5,035 2 View

Good morning research fellows, Has anyone worked with senna alata plant extract on any kind of fish?

Literatures on the piscicidal effect of sennaa alata is scanty. if you have any related litrature either in the bark, leaves or roots used as treatment to any aquatic organism please kindly help...

28 February 2021 9,138 2 View

How to find the right number of integration points in second order 3d finite elements?

I am familiar with finite element simulations and numerical schemes like the Gauss Legendre quadrature. I also know that the Gauss integration yields exact values for polynomials up to degree 2n-1...

27 February 2021 6,818 3 View

Which microtomy technique do you suggest for thin and delicate root sectioning ?And, how to preserve and process the roots before sectioning?

We have thin roots of from 1 year old different species of plants. We are looking into anatomical details of the roots. What's the best method to preserve and process the roots once they are...

23 February 2021 1,898 1 View

How can we determine the positive definiteness of multivariable polyomial? Is there any MATLAB function available for that?

Can we check the positive definiteness of a multivariable polynomial using MATLAB functions? Of course in literature, there are few complex methods that use tensor algebra. However, before going...

16 February 2021 1,218 3 View

Which root in this tap root system, in the picture attached, should be used for root sectioning in order to study the root anatomical details?

There are numerous roots in this tap root system. Kindly suggest or share a research paper where I can clarify the doubts as to which root should be chosen for sectioning and for further root...

14 February 2021 1,816 3 View

Infinite order of Laguerre?

If Lmn(x) is the Laguerre polynomial of order m and degree n Is there a means of computing Lmn(x) for 1) m goes to infinity 2) n goes to infinity

08 February 2021 6,320 4 View

What is the relationship that determines the depth of the mechanical cultivator with the age or size of the weed For crops planted in lines?

the great depth of the cultivator may lead to passage under the roots without killing them and may give negative results to break up the soil below the roots, increasing their activity, especially...

03 February 2021 3,198 7 View

Why do high doses of humic substances inhibit the growth of corn roots? Is there a toxicity effect?

Length, volume, surface area and dry mass of corn roots treated with humic substances increased up to 13 liters per hectare and decreased with higher doses.

02 February 2021 2,190 4 View

Does the subsoil have an effect on the spread of weeds whose roots are more than 35 cm deep?

For weeds whose roots deepen more than the level of subsoil, they may be affected by this layer, for example, determined by height and growth, as well as limited to flower production and seeds.

01 February 2021 1,940 4 View

Dileesh Parayil

Hi Christoforos,

I have used them in the context of hp-FEM. Mass matrix was integrated using the reduced integration.

"I used the rule 2n-3, which implies that if u use n integration points u can get exact solution for a polynomial which is the root of the equation." - I didnt understand this part of your query. If you are using GLL quadrature of N- points, you can integrate a polynomial of order 2N-3. Any polynomial of higher order will be under-integrated(or reduced integration).

Please clarify on the statement I have quoted from you. I may able to give a further insight.

Regards.

Christoforos S. Rekatsinas

Hi Dileesh,

Thank you for your answer.

The meaning of the query was, if you use N points you can get the exact solution of a 2n-3 order polynomial. The same that you suggested!!!