The finite element method (FEM) is a widely used method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential.
The FEM is a general numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems). To solve a problem, the FEM subdivides a large system into smaller, simpler parts that are called finite elements. This is achieved by a particular space discretization in the space dimensions, which is implemented by the construction of a mesh of the object: the numerical domain for the solution, which has a finite number of points.
The finite element method formulation of a boundary value problem finally results in a system of algebraic equations. The method approximates the unknown function over the domain.
The simple equations that model these finite elements are then assembled into a larger system of equations that models the entire problem. The FEM then uses variational methods from the calculus of variations to approximate a solution by minimizing an associated error function.
Studying or analyzing a phenomenon with FEM is often referred to as finite element analysis (FEA).
There is a simple geometric derivation of the area element ## r dr d\theta## in polar coordinates such as in the following link: http://citadel.sjfc.edu/faculty/kgreen/vector/Block3/jacob/node4.html
Is there an algebraic derivation as well beginning with Cartesian coordinates and using ##...
There are 118 elements known to man, and some scientists like Feynman think that element 137 might be the end of the Periodic Table.
Isn't that oddly specific? To me, it feels like it is completely random and of no significance. What is going on here? Is there a constant that relates to this...
First off, i would like to apologize for any spelling errors. I am Portuguese and my english is going to be very simple.
I am in the process of building something and i am reaching out to the physics community for help solving a problem.
I am a CNC programmer and while i was in...
What is the value of optical effective electron mass for tin metal (white tin)? What is the value of mean free path for electron of tin metal? At least give me some websites or papers where I can find it?
condensed matter physics
solid state physics
I have a question about electric elements and their corresponding voltages. I am looking at powering a 1500W 120VAC element out of an ordinary kettle with a DC voltage supplied by solar panels.
So, from what I understand, 120VAC represents the RMS voltage meaning that it would require...
Hello all and thanks from advance,
1.I'm looking for a certain kind of material for a project of mine that can quickly absorb heat and in the same time quickly realesing (I guess that's the right term) heat. Of course it's all based on diffrent parameters, but I'm sure there is a better...
I have the question with a diagram posted in the thumbnail to make things easier.
E = mc²
The Attempt at a Solution
The homework only had a single example for a question like this so I am not 100% sure how to get the answer. So far I've added the 2...
Hi, I'm new here.
I'm actually studying the periodic table and while collectting the data on excel i noticed something. I wouldn't see it with the usual display of a periodic table but when you put it all in a sheet, ligns after ligns it become obvious to me.
Argon Ar (noble gaz) is followed...