# Questions tagged [finite-element-method]

A method of obtaining (numerically) approximate solutions to (usually) differential equations. It consists of a method of discretization splitting the domain into disjoint subdomains over each of which the problem has a simpler (approximate) solution, and a method of reassembling those pieces to obtain a solution over the whole domain. It is closely tied to the calculus of variations.

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### Flux that can be represented by low and high resolution schemes.

In the wiki page of Flux limiter, it writes: If these edge fluxes can be represented by low and high resolution schemes, then a flux limiter can switch between these schemes depending upon the ...
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### Adaptive step size for nonlinear static problem

Let's assume $F$ is an external load for a nonlinear static finite element problem. Normally, the problem will not converge if you apply $F$ fully. Instead, we multiply the load $F$ with a scaling ...
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### What part of the Galerkin method ensures a solution with accurate nodal values?

I graduated over a year ago as a mechanical/industrial engineer and I've recently been re-studying my last year engineering courses that focused on numerical methods for simulation, including the ...
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### The stiffness matrix for a triangle in the finite element mehod

In Wikipedia https://en.wikipedia.org/wiki/Stiffness_matrix under section "Practical assembly of the stiffness matrix" section, it says that: For example, for piecewise linear elements, ...
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### MATLAB - Linear System With Symbolic And Numerical Constants

How do I solve the following system on MATLAB Click here to see the system The answer should be F1x = -1 and F5x = 1. Also, u2 = 0.005, u3 = 0.01, and u4 = 0.015
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