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| SBM2NeumannLFIntegrator (const ParMesh *pmesh, ShiftedFunctionCoefficient &u, VectorCoefficient &vD_, ShiftedVectorFunctionCoefficient &vN_, Array< int > &elem_marker_, int nterms_=0, bool include_cut_cell_=false, int ls_cut_marker_=ShiftedFaceMarker::SBElementType::CUT) |
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void | AssembleRHSElementVect (const FiniteElement &el, ElementTransformation &Tr, Vector &elvect) override |
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void | AssembleRHSElementVect (const FiniteElement &el, FaceElementTransformations &Tr, Vector &elvect) override |
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void | AssembleRHSElementVect (const FiniteElement &el1, const FiniteElement &el2, FaceElementTransformations &Tr, Vector &elvect) override |
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bool | GetTrimFlag () const |
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virtual bool | SupportsDevice () const |
| Method probing for assembly on device.
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virtual void | AssembleDevice (const FiniteElementSpace &fes, const Array< int > &markers, Vector &b) |
| Method defining assembly on device.
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virtual | ~LinearFormIntegrator () |
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| Integrator (const IntegrationRule *ir=NULL) |
| Create a new Integrator, optionally providing a prescribed quadrature rule to use in assembly.
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virtual void | SetIntRule (const IntegrationRule *ir) |
| Prescribe a fixed IntegrationRule to use, or set to null to let the integrator choose an appropriate rule.
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void | SetIntegrationRule (const IntegrationRule &ir) |
| Prescribe a fixed IntegrationRule to use. Sets the NURBS patch integration rule to null.
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void | SetNURBSPatchIntRule (NURBSMeshRules *pr) |
| Sets an integration rule for use on NURBS patches.
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bool | HasNURBSPatchIntRule () const |
| Check if a NURBS patch integration rule has been set.
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const IntegrationRule * | GetIntRule () const |
| Directly return the IntRule pointer (possibly null) without checking for NURBS patch rules or falling back on a default.
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const IntegrationRule * | GetIntegrationRule () const |
| Equivalent to GetIntRule, but retained for backward compatibility with applications.
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LinearFormIntegrator for Neumann boundaries using the shifted boundary method.
\[
(u, w) = \langle \hat{n} \cdot n \, t_n, w \rangle
\]
where \(\hat{n}\) is the normal vector at the true boundary, \(n\) is the normal vector at the surrogate boundary, and \(t_n\) is the traction boundary condition. Since this interior face integrator is applied to the surrogate boundary (see marking.hpp for notes on how the surrogate faces are determined and elements are marked), this integrator adds contribution to only the element that is adjacent to that face (Trans.Elem1 or Trans.Elem2) and is part of the surrogate domain. Note that \(t_n\) is evaluated at the true boundary using the distance function and ShiftedFunctionCoefficient, i.e. \(t_n(x_{true}) = t_N(x_{surrogate} + D)\), where \(x_{surrogate}\) is the location of the integration point on the surrogate boundary and \(D\) is the distance vector from the surrogate boundary to the true boundary.
Definition at line 278 of file sbm_solver.hpp.