List questions from finite-element-method

Published on 16 Mar 2026 - 12:11

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How to identify natural and essential boundary conditions of this differential equation?

Published on 16 Mar 2026 - 11:28

1.4k

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How to derive weak form of the Poisson's equation?

Published on 26 Mar 2026 - 6:29

682

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How can you guarantee that an element shape function is 1 or 0?

Published on 15 Mar 2026 - 18:03

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Finite element method: proof of the inverse inequality

Published on 16 Mar 2026 - 12:40

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Zero average in solution to Laplace problem with Lagrange multipliers

Published on 16 Mar 2026 - 0:02

82

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Scale FEM-Basis by mesh-width

Published on 16 Mar 2026 - 14:35

37

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Showing an inequality on the interpolant error

Published on 16 Mar 2026 - 8:58

68

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Is there a way I can diagnose errors in my FEM formulation from principles?

Published on 25 Mar 2026 - 6:03

35

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Possibility of a function which is not a polynomial, but its laplacian (dimension >=2) is a polynomial

Published on 16 Mar 2026 - 13:59

527

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Maximum grid cell size for finite element / finite difference

Published on 15 Mar 2026 - 21:49

89

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Computing error towards reference solution

Published on 25 Mar 2026 - 22:25

2.4k

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Green's formula in n-dimensions?

Published on 25 Mar 2026 - 20:17

64

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If $K\subseteqℝ^2$ is a closed triangle spanned by $z^1,z^2,z^3$ and $P:K\toℝ$ is a polynomial of degree at most $1$ with $P(z^i)=0$, then $P\equiv0$

Published on 26 Mar 2026 - 1:12

274

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Prove that triangular Lagrange finite elements are affine equivalent

Published on 16 Mar 2026 - 5:37

List Question

Why do we eliminate centre of gravity as degree of freedom in FEM

How to identify natural and essential boundary conditions of this differential equation?

How to derive weak form of the Poisson's equation?

How can you guarantee that an element shape function is 1 or 0?

Finite element method: proof of the inverse inequality

Zero average in solution to Laplace problem with Lagrange multipliers

Scale FEM-Basis by mesh-width

Showing an inequality on the interpolant error

Is there a way I can diagnose errors in my FEM formulation from principles?

Possibility of a function which is not a polynomial, but its laplacian (dimension >=2) is a polynomial

Maximum grid cell size for finite element / finite difference

Computing error towards reference solution

Green's formula in n-dimensions?

If $K\subseteqℝ^2$ is a closed triangle spanned by $z^1,z^2,z^3$ and $P:K\toℝ$ is a polynomial of degree at most $1$ with $P(z^i)=0$, then $P\equiv0$

Prove that triangular Lagrange finite elements are affine equivalent

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