Partial Differential Equation Toolbox | ![]() ![]() |
PDE Algorithms
Function |
Purpose |
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Adaptive mesh generation and PDE solution. |
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Assemble area integral contributions. |
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Assemble boundary condition contributions |
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Assemble the stiffness matrix and right-hand side of a PDE problem. |
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Solve hyperbolic PDE problem. |
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Solve parabolic PDE problem. |
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Solve eigenvalue PDE problem. |
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Solve nonlinear PDE problem. |
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Fast solution of Poisson's equation on rectangular grid. |
User Interface Algorithms
Function |
Purpose |
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Draw circle. |
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Draw ellipse. |
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Convert PDE Toolbox 1.0 Model M-files |
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Draw polygon. |
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Draw rectangle. |
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PDE Toolbox graphical user interface (GUI). |
Geometry Algorithms
Function |
Purpose |
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Check validity of Geometry Description Matrix. |
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Delete borders between minimal regions. |
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Decompose Constructive Solid Geometry into minimal regions. |
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Create initial triangular mesh. |
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Jiggle internal points of triangular mesh. |
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Interpolation between parametric representation and arc length. |
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Make regular mesh on a rectangular geometry. |
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Refine a triangular mesh. |
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Write boundary condition specification file. |
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Write geometry specification function. |
Plot Functions
Function |
Purpose |
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Shorthand command for contour plot. |
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Plot a PDE geometry. |
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Plot a PDE triangular mesh. |
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Generic PDE Toolbox plot function. |
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Shorthand command for surface plot. |
Utility Algorithms
Function |
Purpose |
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Discrete sine transform. |
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Inverse discrete sine transform. |
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Select triangles using a relative tolerance criterion. |
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Select triangles relative to the worst value. |
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Returns the flux of a PDE solution. |
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Indices of triangles neighboring a given set of triangles. |
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Returns the gradient of a PDE solution. |
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Interpolate from node data to triangle midpoint data. |
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Error estimates for adaption. |
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Interpolate from triangle midpoint data to node data. |
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Indices of edges in set of subdomains. |
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Indices of points in set of subdomains. |
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Indices of triangles in set of subdomains. |
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Calculate structural mechanics tensor functions. |
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Triangle geometry data. |
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Triangle quality measure. |
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Boundary point matrix contributions for fast solvers of Poisson's equation. |
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Fast solver for Poisson's equation on rectangular grid. |
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Indices of points in canonical ordering for rectangular grid. |
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Solve generalized sparse eigenvalue problem. |
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Interpolate from PDE triangular mesh to rectangular grid. |
User Defined Algorithms
Function |
Purpose |
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Boundary M-file. |
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Geometry M-file. |
Demonstration Programs
Function |
Purpose |
pdedemo1 |
Exact solution of Poisson's equation on unit disk. |
pdedemo2 |
Solve Helmholtz's equation and study the reflected waves. |
pdedemo3 |
Solve a minimal surface problem. |
pdedemo4 |
Solve PDE problem using subdomain decomposition. |
pdedemo5 |
Solve a parabolic PDE (the heat equation). |
pdedemo6 |
Solve a hyperbolic PDE (the wave equation). |
pdedemo7 |
Adaptive solution with point source. |
pdedemo8 |
Solve Poisson's equation on rectangular grid. |
![]() | Functions -- Categorical List | Functions -- Alphabetical List | ![]() |