WOLFRAM

Wolfram Language & System Documentation Center
NDEigensystem::fembdcc NDEigenvalues::fembdcc NDSolve::fembdcc NDSolveValue::fembdcc ParametricNDSolve::fembdcc ParametricNDSolveValue::fembdcc InitializeBoundaryConditions::fembdcc
Details
    • Details and Options Details and Options
    Examples  
    Basic Examples  
    See Also
    NDSolve`FEM`

    NDEigensystem::fembdcc NDEigenvalues::fembdcc NDSolve::fembdcc NDSolveValue::fembdcc ParametricNDSolve::fembdcc ParametricNDSolveValue::fembdcc InitializeBoundaryConditions::fembdcc

    Details

    • This message is generated when in coupled systems DirichletCondition incidences cross-reference each other.
    • The section What Triggers the Use of the Finite Element Method explains when the finite element method is selected automatically to solve a differential equation.
    • Off[message] switches off the message; On[message] switches it on. For example: Off[InitializeBoundaryConditions::fembdcc].

    Examples

    Basic Examples  (1)

    Dirichlet conditions in systems of equations cannot depend on more than one dependent variable:

    Wolfram Language code: NDSolve[{Laplacian[u[x], {x}] == v[x], Laplacian[v[x], {x}] == 1, DirichletCondition[u[x] == v[x], x == 1], DirichletCondition[v[x] == 0, x == 1]}, {u, v}, {x, 0, 1}]

    If possible, remove the dependency of the Dirichlet conditions. Note that the first DirichletCondition now only depends on and no longer on :

    Wolfram Language code: NDSolve[{Laplacian[u[x], {x}] == v[x], Laplacian[v[x], {x}] == 1, DirichletCondition[u[x] == 0, x == 1], DirichletCondition[v[x] == 0, x == 1]}, {u, v}, {x, 0, 1}]