#include <DGBasis.hpp>
Public Member Functions | |
| DGBasisBoundedTotalDegree (const UnstructuredGrid &grid, const int degree) | |
| virtual | ~DGBasisBoundedTotalDegree () |
| Destructor. More... | |
| virtual int | numBasisFunc () const |
| The number of basis functions per cell. More... | |
| virtual int | dimensions () const |
| The number of space dimensions. More... | |
| virtual int | degree () const |
| The polynomial degree of the basis functions. More... | |
| virtual void | eval (const int cell, const double *x, double *f_x) const |
| virtual void | evalGrad (const int cell, const double *x, double *grad_f_x) const |
| virtual void | addConstant (const double increment, double *coefficients) const |
| virtual void | multiplyGradient (const double factor, double *coefficients) const |
| virtual double | functionAverage (const double *coefficients) const |
| double | evalFunc (const int cell, const double *coefficients, const double *x) const |
Detailed Description
A class providing discontinuous Galerkin basis functions of bounded total degree.
The basis functions are the following for each cell (example for 3d): Degree 0: 1. Degree 1: 1, x - xc, y - yc, z - zc where (xc, yc, zc) are the coordinates of the cell centroid. Further degrees await development.
Constructor & Destructor Documentation
| Opm::DGBasisBoundedTotalDegree::DGBasisBoundedTotalDegree | ( | const UnstructuredGrid & | grid, |
| const int | degree | ||
| ) |
Constructor.
- Parameters
-
[in] grid grid on which basis is used (cell-wise) [in] degree polynomial degree of basis
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virtual |
Destructor.
Member Function Documentation
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virtual |
Modify basis coefficients to add to the function value. A function f = sum_i c_i b_i is assumed, and we change it to (f + increment) by modifying the c_i. This is done without modifying its gradient.
- Parameters
-
[in] increment Add this value to the function. [out] coefficients Coefficients {c_i} for a single cell.
Implements Opm::DGBasisInterface.
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virtual |
The polynomial degree of the basis functions.
Implements Opm::DGBasisInterface.
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virtual |
The number of space dimensions.
Implements Opm::DGBasisInterface.
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virtual |
Evaluate all basis functions associated with cell at x, writing to f_x. The array f_x must have size equal to numBasisFunc().
Implements Opm::DGBasisInterface.
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inherited |
Evaluate function f = sum_i c_i b_i at the point x. Note that this function is not virtual, but implemented in terms of the virtual functions of the class.
- Parameters
-
[in] cell Cell index [in] coefficients Coefficients {c_i} for a single cell. [in] x Point at which to compute f(x).
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virtual |
Evaluate gradients of all basis functions associated with cell at x, writing to grad_f_x. The array grad_f_x must have size numBasisFunc() * dimensions(). The dimensions() components of the first basis function gradient come before the components of the second etc.
Implements Opm::DGBasisInterface.
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virtual |
Compute the average of the function f = sum_i c_i b_i.
- Parameters
-
[in] coefficients Coefficients {c_i} for a single cell.
Implements Opm::DGBasisInterface.
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virtual |
Modify basis coefficients to change the function's slope. A function f = sum_i c_i b_i is assumed, and we change it to a function g with the property that grad g = factor * grad f by modifying the c_i. This is done without modifying the average, i.e. the integrals of g and f over the cell are the same.
- Parameters
-
[in] factor Multiply gradient by this factor. [out] coefficients Coefficients {c_i} for a single cell.
Implements Opm::DGBasisInterface.
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virtual |
The number of basis functions per cell.
Implements Opm::DGBasisInterface.
The documentation for this class was generated from the following file: