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4 changes: 4 additions & 0 deletions docs/blog/authors.yml
Original file line number Diff line number Diff line change
Expand Up @@ -6,6 +6,8 @@ vickysharma0812:
socials:
x: vickysharma0812
github: vickysharma0812
linkedin: vickysharma0812
researchgate: https://www.researchgate.net/profile/Vikas-Sharma-41

shishiousan:
name: Shion Shimizu
Expand All @@ -14,3 +16,5 @@ shishiousan:
image_url: https://raw.githubusercontent.com/easifem/authors/refs/heads/main/images/shishiousan.jpg
socials:
github: shishiousan
linkedin: shion-shimizu-838997340
researchgate: https://www.researchgate.net/profile/Shion-Shimizu
31 changes: 20 additions & 11 deletions docs/docs-api/MassMatrix/MassMatrix_.md
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Expand Up @@ -5,10 +5,11 @@ date: 20 Nov 2021
update: 20 Nov 2021
tags:
- MassMatrix
category:
- MassMatrix
- Finite Element
---

# MassMatrix

## Theory

$$
Expand All @@ -19,19 +20,27 @@ $$
\int_{\Omega } \rho N^{I} N^{J}d\Omega
$$

## Constructor methods
## Example 1

This example shows how to use the subroutine called `MassMatrix` to create a mass matrix in space domain.

Here, we want to do the following.

$$
\int_{\Omega } N^{I}\rho N^{J}d\Omega
$$

`rho` can be a constant, or a function of spatial coordinates, or some nonlinear function.

In this example, we use

!!! note "MassMatrix"
- ReferenceLine element,
- QuadraturePoint are `GaussLegendre`
- order of integrand is 2.

$$
\int_{\Omega } N^{I} N^{J}d\Omega
$$

You can learn more about this in

- [[MassMatrix_test_1]] for [[ReferenceLine_]] `Line2`
- [[MassMatrix_test_2]] for [[ReferenceLine_]] `Line3`
- [[MassMatrix_test_3]] for mixed FEM type, Line2 and Line3 [[ReferenceLine_]]

- [ ] TODO add examples for creating mass matrix for triangle3 and triangle6 and 3D elements.
This type of mass matrix is useful in cases where $rho$ is a constant.

111 changes: 0 additions & 111 deletions docs/docs-api/MassMatrix/MassMatrix_test_1.md

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120 changes: 0 additions & 120 deletions docs/docs-api/MassMatrix/MassMatrix_test_2.md

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