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MADNESS 0.10.1
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The constant on a sphere problem. More...
#include <test_problems.h>


Public Member Functions | |
| ConstantSphere (int k, double thresh, double eps, std::string penalty_name, double penalty_prefact, double radius, Mask mask) | |
| virtual std::vector< Vector< double, 3 > > | check_pts () const |
| A list of points where we should compare the computed solution to the exact solution. | |
| double | DirichletCond (const Vector< double, 3 > &x) const |
| double | ExactSol (const Vector< double, 3 > &x) const |
| double | Inhomogeneity (const Vector< double, 3 > &x) const |
| double | SurfaceIntegral () const |
| The surface area of the domain. | |
| double | VolumeIntegral () const |
| The volume of the domain. | |
Public Member Functions inherited from EmbeddedDirichlet | |
| EmbeddedDirichlet (double penalty_prefact, std::string penalty_name, double eps, int k, double thresh, Mask mask) | |
| Sets up the data for the problem-inspecific parts. | |
| virtual | ~EmbeddedDirichlet () |
| void | load_balance (World &world, const Function< double, 3 > &f) const |
| Load balances using the provided Function. | |
| double | operator() (const Vector< double, 3 > &x) const |
| The operator for projecting a MADNESS function. | |
| void | printout () const |
| Do a standard Printout of the problem details. | |
Public Member Functions inherited from madness::FunctionFunctorInterface< double, 3 > | |
| FunctionFunctorInterface () | |
| virtual | ~FunctionFunctorInterface () |
| virtual coeffT | coeff (const keyT &) const |
| virtual void | operator() (const Vector< double *, 1 > &xvals, double *fvals, int npts) const |
| virtual void | operator() (const Vector< double *, 2 > &xvals, double *fvals, int npts) const |
| virtual void | operator() (const Vector< double *, 3 > &xvals, double *fvals, int npts) const |
| virtual void | operator() (const Vector< double *, 4 > &xvals, double *fvals, int npts) const |
| virtual void | operator() (const Vector< double *, 5 > &xvals, double *fvals, int npts) const |
| virtual void | operator() (const Vector< double *, 6 > &xvals, double *fvals, int npts) const |
| virtual double | operator() (const Vector< double, NDIM > &x) const=0 |
You should implement this to return f(x) | |
| virtual bool | provides_coeff () const |
| does this functor directly provide sum coefficients? or only function values? | |
| virtual bool | screened (const Vector< double, NDIM > &c1, const Vector< double, NDIM > &c2) const |
| Can we screen this function based on the bounding box information? | |
| void | set_length_scale (double lo) |
| adapt the special level to resolve the smallest length scale | |
| virtual Level | special_level () const |
| Override this to change the minimum level of refinement at special points (default is 6) | |
| virtual std::vector< Vector< double, NDIM > > | special_points () const |
| Override this to return list of special points to be refined more deeply. | |
| virtual bool | supports_vectorized () const |
| Does the interface support a vectorized operator()? | |
| virtual coeffT | values (const keyT &key, const Tensor< double > &tensor) const |
Protected Member Functions | |
| bool | isHomogeneous () const |
Protected Attributes | |
| double | radius |
Protected Attributes inherited from EmbeddedDirichlet | |
| DomainMaskInterface * | dmi |
| std::string | domain_mask_name |
| double | eps |
| double | penalty_prefact |
| std::string | problem_name |
| std::string | problem_specific_info |
| SignedDFInterface< 3 > * | sdfi |
Additional Inherited Members | |
Public Types inherited from madness::FunctionFunctorInterface< double, 3 > | |
| typedef GenTensor< double > | coeffT |
| typedef Key< NDIM > | keyT |
| typedef double | value_type |
Public Attributes inherited from EmbeddedDirichlet | |
| FunctorOutput | fop |
Public Attributes inherited from madness::FunctionFunctorInterface< double, 3 > | |
| Level | special_level_ |
The constant on a sphere problem.
A list of points where we should compare the computed solution to the exact solution.
Reimplemented from EmbeddedDirichlet.
References madness::nonlinear_vector_solver(), radius, and madness::vec().
Implements EmbeddedDirichlet.
Implements EmbeddedDirichlet.
References madness::nonlinear_vector_solver(), and radius.
Implements EmbeddedDirichlet.
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inlineprotectedvirtual |
Implements EmbeddedDirichlet.
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inlinevirtual |
The surface area of the domain.
Implements EmbeddedDirichlet.
References madness::constants::pi, and radius.
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inlinevirtual |
The volume of the domain.
Implements EmbeddedDirichlet.
References madness::constants::pi, and radius.
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protected |
Referenced by ConstantSphere(), check_pts(), ExactSol(), SurfaceIntegral(), and VolumeIntegral().