Functions in Partial Differential Equation Toolbox

  • By Category | Alphabetical List
  • PDE Problem Setup

    2-D Geometry

    pdetool Open PDE app
    pdecirc Draw circle
    pdeellip Draw ellipse
    pdepoly Draw polygon
    pderect Draw rectangle
    csgchk Check validity of Geometry Description matrix
    csgdel Delete borders between minimal regions
    decsg Decompose Constructive Solid Geometry into minimal regions
    pdearcl Interpolation between parametric representation and arc length
    pdegeom Write custom function for defining geometry
    wgeom Write geometry specification function

    Boundary Conditions

    pde PDE model container
    pdeBoundaryConditions Boundary conditions
    pdeGeometryFromEdges Create geometry object
    assemb Assemble boundary condition contributions
    pdebound Write custom function for defining boundary conditions
    wbound Write boundary condition specification file
    pdetool Open PDE app

    Meshing

    pdetool Open PDE app
    initmesh Create initial triangular mesh
    adaptmesh Adaptive mesh generation and PDE solution
    jigglemesh Jiggle internal points of triangular mesh
    refinemesh Refine triangular mesh
    tri2grid Interpolate from PDE triangular mesh to rectangular grid
    pdemesh Plot PDE triangular mesh
    pdeadgsc Select triangles using relative tolerance criterion
    pdeadworst Select triangles relative to worst value
    pdeent Indices of triangles neighboring given set of triangles
    pdeintrp Interpolate from node data to triangle midpoint data
    pdejmps Error estimates for adaptation
    pdeprtni Interpolate from triangle midpoint data to node data
    pdesdp Indices of points/edges/triangles in set of subdomains
    pdesde Indices of points/edges/triangles in set of subdomains
    pdesdt Indices of points/edges/triangles in set of subdomains
    pdetrg Triangle geometry data
    pdetriq Triangle quality measure

    PDE Configuration

    Elliptic Equations

    pdetool Open PDE app
    assempde Assemble stiffness matrix and right side of PDE problem
    assema Assemble area integral contributions
    assemb Assemble boundary condition contributions
    adaptmesh Adaptive mesh generation and PDE solution
    pdejmps Error estimates for adaptation
    pdenonlin Solve nonlinear PDE problem
    poisolv Fast solution of Poisson's equation on rectangular grid
    poicalc Fast solver for Poisson's equation on rectangular grid
    poimesh Make regular mesh on rectangular geometry
    dst Discrete sine transform
    idst Discrete sine transform
    poiasma Boundary point matrix contributions for fast solvers of Poisson's equation
    poiindex Indices of points in canonical ordering for rectangular grid

    Parabolic Equations

    pdetool Open PDE app
    parabolic Solve parabolic PDE problem
    assema Assemble area integral contributions
    assemb Assemble boundary condition contributions

    Hyperbolic Equations

    pdetool Open PDE app
    hyperbolic Solve hyperbolic PDE problem
    assema Assemble area integral contributions
    assemb Assemble boundary condition contributions

    Systems of Equations

    pdetool Open PDE app
    assempde Assemble stiffness matrix and right side of PDE problem
    assema Assemble area integral contributions
    assemb Assemble boundary condition contributions

    Solution Visualization and Interpolation

    pdegplot Plot PDE geometry
    pdeplot Plot solution
    pdesmech Calculate structural mechanics tensor functions
    pdecgrad Flux of PDE solution
    pdegrad Gradient of PDE solution
    evaluate Interpolate data to selected locations
    pdeintrp Interpolate from node data to triangle midpoint data
    pdeprtni Interpolate from triangle midpoint data to node data
    tri2grid Interpolate from PDE triangular mesh to rectangular grid
    pdecont Shorthand command for contour plot
    pdemesh Plot PDE triangular mesh
    pdesurf Shorthand command for surface plot
    pdeInterpolant Interpolant for nodal data to selected locations

    Electrostatics and Magnetostatics

    pdetool Open PDE app

    Structural Mechanics

    pdetool Open PDE app
    pdesmech Calculate structural mechanics tensor functions

    AC Power Electromagnetics

    pdetool Open PDE app

    DC Conduction

    pdetool Open PDE app

    Heat Transfer and Diffusion

    pdetool Open PDE app

    Eigenvalue Problems

    pdetool Open PDE app
    pdeeig Solve eigenvalue PDE problem
    sptarn Solve generalized sparse eigenvalue problem
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