lagrange_scalar_shapeset.hpp

// Copyright (C) 2011-2012 by the BEM++ Authors
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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#ifndef fiber_lagrange_scalar_shapeset_hpp
#define fiber_lagrange_scalar_shapeset_hpp

#include "../common/common.hpp"

#include "basis.hpp"

#include "basis_data.hpp"
#include "dune_basis_helper.hpp"

#include <dune/localfunctions/lagrange/pk2d/pk2dlocalbasis.hh>

namespace Fiber
{

// So far, this shapeset is only implemented for triangular elements.
// In future it may be extended to quadrilaterals and lines.

template <int elementVertexCount, typename CoordinateType, typename ValueType,
          int polynomialOrder>
struct LagrangeScalarBasisTraits
{
};

// Triangle
template <typename CoordinateType, typename ValueType, int polynomialOrder>
struct LagrangeScalarBasisTraits<3, CoordinateType, ValueType, polynomialOrder>
{
public:
    typedef Dune::Pk2DLocalBasis<CoordinateType, ValueType, polynomialOrder>
    DuneShapeset;
    typedef DuneShapeset DuneBasis;
};

template <int elementVertexCount, typename ValueType, int polynomialOrder>
class LagrangeScalarShapeset : public Basis<ValueType>
{
public:
    typedef typename Basis<ValueType>::CoordinateType CoordinateType;

private:
    typedef typename LagrangeScalarBasisTraits<
    elementVertexCount, CoordinateType, ValueType, polynomialOrder>::DuneShapeset
    DuneBasis;
    DuneBasis m_duneBasis;

public:
    virtual int size() const {
        return m_duneBasis.size();
    }

    virtual int order() const {
        return polynomialOrder;
    }

    virtual void evaluate(size_t what,
                          const arma::Mat<CoordinateType>& points,
                          LocalDofIndex localDofIndex,
                          BasisData<ValueType>& data) const {
        if (localDofIndex != ALL_DOFS &&
                (localDofIndex < 0 || size() <= localDofIndex))
            throw std::invalid_argument("LagrangeScalarShapeset::"
                                        "evaluate(): Invalid localDofIndex");

        if (what & VALUES)
            evaluateShapeFunctionsWithDune<CoordinateType, ValueType, DuneBasis>(
                        points, localDofIndex, data.values, m_duneBasis);
        if (what & DERIVATIVES)
            evaluateShapeFunctionDerivativesWithDune<
                    CoordinateType, ValueType, DuneBasis>(
                        points, localDofIndex, data.derivatives, m_duneBasis);
    }
};

} // namespace Fiber

#endif