| Partial Differential Equation Toolbox |
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Function Reference
This chapter contains detailed descriptions of most of the functions in the Partial Differential Equation (PDE) Toolbox. Some of the functions that are used by the graphical user interface (GUI) function pdetool are not listed in this chapter because they are not used directly -- they are called from pdetool.
Functions -- By Category
The following topics group PDE functions by category:
PDE Algorithms
Function
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Purpose
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adaptmesh
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Adaptive mesh generation and PDE solution.
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assema
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Assemble area integral contributions.
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assemb
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Assemble boundary condition contributions
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assempde
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Assemble the stiffness matrix and right-hand side of a PDE problem.
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hyperbolic
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Solve hyperbolic PDE problem.
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parabolic
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Solve parabolic PDE problem.
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pdeeig
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Solve eigenvalue PDE problem.
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pdenonlin
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Solve nonlinear PDE problem.
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poisolv
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Fast solution of Poisson's equation on a rectangular grid.
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User Interface Algorithms
Geometry Algorithms
Function
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Purpose
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csgchk
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Check validity of Geometry Description Matrix.
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csgdel
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Delete borders between minimal regions.
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decsg
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Decompose Constructive Solid Geometry into minimal regions.
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initmesh
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Create initial triangular mesh.
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jigglemesh
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Jiggle internal points of a triangular mesh.
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pdearcl
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Interpolation between parametric representation and arc length.
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poimesh
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Make regular mesh on a rectangular geometry.
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refinemesh
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Refine a triangular mesh.
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wbound
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Write boundary condition specification file.
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wgeom
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Write geometry specification function.
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Plot Functions
Function
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Purpose
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pdecont
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Shorthand command for contour plot.
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pdegplot
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Plot a PDE geometry.
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pdemesh
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Plot a PDE triangular mesh.
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pdeplot
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Generic PDE Toolbox plot function.
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pdesurf
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Shorthand command for surface plot.
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Utility Algorithms
Function
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Purpose
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dst
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Discrete sine transform.
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idst
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Inverse discrete sine transform.
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pdeadgsc
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Select triangles using a relative tolerance criterion.
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pdeadworst
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Select triangles relative to the worst value.
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pdecgrad
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The flux of a PDE solution.
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pdeent
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Indices of triangles neighboring a given set of triangles.
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pdegrad
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The gradient of a PDE solution.
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pdeintrp
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Interpolate from node data to triangle midpoint data.
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pdejmps
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Error estimates for adaption.
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pdeprtni
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Interpolate from triangle midpoint data to node data.
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pdesde
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Indices of edges in a set of subdomains.
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pdesdp
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Indices of points in a set of subdomains.
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pdesdt
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Indices of triangles in a set of subdomains.
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pdesmech
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Calculate structural mechanics tensor functions.
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pdetrg
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Triangle geometry data.
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pdetriq
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Triangle quality measure.
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poiasma
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Boundary point matrix contributions for fast solvers of Poisson's equation.
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poicalc
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Fast solver for Poisson's equation on a
rectangular grid.
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poiindex
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Indices of points in canonical ordering for a
rectangular grid.
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sptarn
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Solve generalized sparse eigenvalue problem.
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tri2grid
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Interpolate from PDE triangular mesh to a
rectangular grid.
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User Defined Algorithms
Demonstration Programs
Function
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Purpose
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pdedemo1
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Exact solution of Poisson's equation on unit disk.
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pdedemo2
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Solve Helmholtz's equation and study the reflected waves.
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pdedemo3
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Solve a minimal surface problem.
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pdedemo4
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Solve PDE problem using subdomain decomposition.
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pdedemo5
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Solve a parabolic PDE (the heat equation).
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pdedemo6
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Solve a hyperbolic PDE (the wave equation).
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pdedemo7
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Adaptive solution with point source.
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pdedemo8
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Solve Poisson's equation on rectangular grid.
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| | References | | Functions -- Alphabetical List | |