matlab-solve-pde

Name: matlab-solve-pde
Author: matlab

815stars105forks

How to install matlab-solve-pde?

matlab/matlab-agentic-toolkit/matlab-solve-pde

$npx -y skills add matlab/matlab-agentic-toolkit --skill matlab-solve-pde

Installs into the current project.

Summary

End-to-end finite element analysis in MATLAB PDE Toolbox — geometry creation, model setup, solve, and post-processing in one skill. Use when building geometry from primitives or file import, setting up femodel with BCs/loads/materials, solving thermal/structural/EM problems, and

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SKILL.md

1	# PDE Toolbox — Full FEA Workflow
2
3	End-to-end finite element analysis: geometry → model setup → solve → post-process. Uses the modern `femodel` workflow (R2025a+).
4
5	## When to Use
6
7	- Building geometry from primitives (`multicuboid`, `multicylinder`, `multisphere`), STL/STEP import, or 2-D `decsg`
8	- Setting up `femodel` with boundary conditions, loads, materials, and initial conditions
9	- Solving thermal, structural, or electromagnetic problems (steady, transient, modal, frequency, conduction)
10	- Post-processing FE results: interpolation, derived quantities, visualization
11
12	## When Not to Use
13
14	- General-equation PDE (`createpde(N)`) — that legacy workflow is not covered here
15	- System-level simulation (Simulink/Simscape) — use product-specific skills
16	- Mesh-only tasks with no PDE solve (e.g., surface meshing for visualization)
17
18	## Workflow Overview
19
20	1. Geometry — Create with primitives, `decsg`, file import, or boolean ops → wrap in `fegeometry`
21	2. Model — `femodel(AnalysisType=..., Geometry=gm)` → material, BCs, loads, ICs
22	3. Mesh — `generateMesh(model)` (default first, refine if needed)
23	4. Solve — `result = solve(model)` or `solve(model, tlist)`
24	5. Post-process — Extract fields, interpolate, compute derived quantities, visualize
25
26	## Phase 1: Geometry
27
28	### fegeometry — The Hub
29
30	```matlab
31	gm = fegeometry(multicuboid(1, 1, 1)); % From primitives
32	gm = fegeometry("model.stl"); % From STL/STEP file
33	gm = fegeometry(decsg(gd, sf, ns)); % From 2-D CSG
34	gm = fegeometry(nodes, elements); % From mesh data
35	```
36
37	`fegeometry` is for the `femodel` workflow only. Do NOT use `fegeometry` with `createpde(N)` — that legacy workflow uses `geometryFromEdges` (2-D) or `importGeometry` (3-D) instead. This skill covers `femodel` exclusively.
38
39	Key properties: `NumCells`, `NumFaces`, `NumEdges`, `Vertices`
40
41	### 3-D Primitives
42
43	\| Function \| Origin \| Arguments \|
44	\|----------\|--------\|-----------\|
45	\| `multicuboid(W, D, H)` \| x-y centered, base at z=0 \| Width, Depth, Height \|
46	\| `multicylinder(R, H)` \| x-y centered, base at z=0 \| Radius, Height \|
47	\| `multisphere(R)` \| Centered at origin \| Radius \|
48
49	Nested cells (vectors), stacked layers (`ZOffset`), hollow (`Void=[true,false]`):
50
51	```matlab
52	gm = fegeometry(multicylinder([0.3, 0.5], 1, Void=[true, false])); % hollow pipe
53	gm = fegeometry(multicuboid([1, 1], [1, 1], [0.3, 0.7], ZOffset=[0, 0.3])); % stacked
54	```
55
56	See `references/primitives-and-import.md` for full options and file import details.
57
58	### Boolean Operations
59
60	```matlab
61	gmCombined = union(gm1, gm2); % Merge into 1 cell
62	gmCombined = union(gm1, gm2, KeepBoundaries=true); % Preserve cells (multi-material)
63	gmCombined = union(gm1, gm2, KeepBoundaries=[true, false]); % Selective per shape
64	gmResult = subtract(gm1, gm2); % Cut gm2 from gm1
65	gmResult = intersect(gm1, gm2); % Keep only overlapping region
66	```
67
68	`KeepBoundaries`: Use `true` when shapes get different materials (preserves internal faces as cell boundaries). Omit or use `false` to merge into a single cell.
69
70	Cell modification after boolean ops:
71
72	```matlab
73	gm = mergeCells(gm); % Merge ALL cells into one
74	gm = mergeCells(gm, [2, 3]); % Merge specific cells (must be connected)
75	gm = deleteCell(gm, cellIDs); % Remove unwanted cells
76	```
77
78	Rules: Union first, subtract last. The function is `subtract` — NOT `subtractgeom`. Never assemble pre-hollowed pieces. Call `mergeCells` only ONCE at the end.
79
80	See `references/boolean-and-cell-ops.md` for full strategy (Sculpt+Carve, Void flags, addCell, addVoid, face imprinting).
81
82	### 2-D Geometry with decsg
83
84	Each shape is a column vector in the geometry matrix. First entry identifies the type:
85
86	\| Type code \| Shape \| Column format \|
87	\|-----------\|-------\|---------------\|

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matlab-solve-pde

815stars105forks

View on GitHub

How to install matlab-solve-pde?

matlab/matlab-agentic-toolkit/matlab-solve-pde

$npx -y skills add matlab/matlab-agentic-toolkit --skill matlab-solve-pde

Installs into the current project.

Summary

Files · 1

View on GitHub

SKILL.md

1	# PDE Toolbox — Full FEA Workflow
2
3	End-to-end finite element analysis: geometry → model setup → solve → post-process. Uses the modern `femodel` workflow (R2025a+).
4
5	## When to Use
6
7	- Building geometry from primitives (`multicuboid`, `multicylinder`, `multisphere`), STL/STEP import, or 2-D `decsg`
8	- Setting up `femodel` with boundary conditions, loads, materials, and initial conditions
9	- Solving thermal, structural, or electromagnetic problems (steady, transient, modal, frequency, conduction)
10	- Post-processing FE results: interpolation, derived quantities, visualization
11
12	## When Not to Use
13
14	- General-equation PDE (`createpde(N)`) — that legacy workflow is not covered here
15	- System-level simulation (Simulink/Simscape) — use product-specific skills
16	- Mesh-only tasks with no PDE solve (e.g., surface meshing for visualization)
17
18	## Workflow Overview
19
20	1. Geometry — Create with primitives, `decsg`, file import, or boolean ops → wrap in `fegeometry`
21	2. Model — `femodel(AnalysisType=..., Geometry=gm)` → material, BCs, loads, ICs
22	3. Mesh — `generateMesh(model)` (default first, refine if needed)
23	4. Solve — `result = solve(model)` or `solve(model, tlist)`
24	5. Post-process — Extract fields, interpolate, compute derived quantities, visualize
25
26	## Phase 1: Geometry
27
28	### fegeometry — The Hub
29
30	```matlab
31	gm = fegeometry(multicuboid(1, 1, 1)); % From primitives
32	gm = fegeometry("model.stl"); % From STL/STEP file
33	gm = fegeometry(decsg(gd, sf, ns)); % From 2-D CSG
34	gm = fegeometry(nodes, elements); % From mesh data
35	```
36
37	`fegeometry` is for the `femodel` workflow only. Do NOT use `fegeometry` with `createpde(N)` — that legacy workflow uses `geometryFromEdges` (2-D) or `importGeometry` (3-D) instead. This skill covers `femodel` exclusively.
38
39	Key properties: `NumCells`, `NumFaces`, `NumEdges`, `Vertices`
40
41	### 3-D Primitives
42
43	\| Function \| Origin \| Arguments \|
44	\|----------\|--------\|-----------\|
45	\| `multicuboid(W, D, H)` \| x-y centered, base at z=0 \| Width, Depth, Height \|
46	\| `multicylinder(R, H)` \| x-y centered, base at z=0 \| Radius, Height \|
47	\| `multisphere(R)` \| Centered at origin \| Radius \|
48
49	Nested cells (vectors), stacked layers (`ZOffset`), hollow (`Void=[true,false]`):
50
51	```matlab
52	gm = fegeometry(multicylinder([0.3, 0.5], 1, Void=[true, false])); % hollow pipe
53	gm = fegeometry(multicuboid([1, 1], [1, 1], [0.3, 0.7], ZOffset=[0, 0.3])); % stacked
54	```
55
56	See `references/primitives-and-import.md` for full options and file import details.
57
58	### Boolean Operations
59
60	```matlab
61	gmCombined = union(gm1, gm2); % Merge into 1 cell
62	gmCombined = union(gm1, gm2, KeepBoundaries=true); % Preserve cells (multi-material)
63	gmCombined = union(gm1, gm2, KeepBoundaries=[true, false]); % Selective per shape
64	gmResult = subtract(gm1, gm2); % Cut gm2 from gm1
65	gmResult = intersect(gm1, gm2); % Keep only overlapping region
66	```
67
68	`KeepBoundaries`: Use `true` when shapes get different materials (preserves internal faces as cell boundaries). Omit or use `false` to merge into a single cell.
69
70	Cell modification after boolean ops:
71
72	```matlab
73	gm = mergeCells(gm); % Merge ALL cells into one
74	gm = mergeCells(gm, [2, 3]); % Merge specific cells (must be connected)
75	gm = deleteCell(gm, cellIDs); % Remove unwanted cells
76	```
77
78	Rules: Union first, subtract last. The function is `subtract` — NOT `subtractgeom`. Never assemble pre-hollowed pieces. Call `mergeCells` only ONCE at the end.
79
80	See `references/boolean-and-cell-ops.md` for full strategy (Sculpt+Carve, Void flags, addCell, addVoid, face imprinting).
81
82	### 2-D Geometry with decsg
83
84	Each shape is a column vector in the geometry matrix. First entry identifies the type:
85
86	\| Type code \| Shape \| Column format \|
87	\|-----------\|-------\|---------------\|

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