#include <DGBasis.hpp>
Public Member Functions | |
| DGBasisMultilin (const UnstructuredGrid &grid, const int degree) | |
| virtual | ~DGBasisMultilin () |
| 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 multi-degree 1 (bilinear or trilinear functions).
The basis functions for a cell are the following Degree 0: 1. (for 2 dims:) (Bi)degree 1: (x-)(y-), (x-)(y+), (x+)(y-), (x+)(y+) where (x-) = (1/2 - x + xc), (x+) = (1/2 + x - xc) and xc is the x-coordinate of the cell centroid. Similar for (y-), (y+).
Constructor & Destructor Documentation
| Opm::DGBasisMultilin::DGBasisMultilin | ( | const UnstructuredGrid & | grid, |
| const int | degree | ||
| ) |
Constructor.
- Parameters
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[in] grid grid on which basis is used (cell-wise) [in] degree polynomial degree of basis (in each coordinate)
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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
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[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
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[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
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[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: