l2_norm.hpp

Go to the documentation of this file.

// 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
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
// THE SOFTWARE.

#ifndef bempp_l2_norm
#define bempp_l2_norm

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

#include "evaluation_options.hpp"
#include "../fiber/quadrature_strategy.hpp"

namespace Fiber
{

template <typename ValueType> class Function;
} // namespace Fiber

namespace Bempp
{

class EvaluationOptions;
class GeometryFactory;
template <typename BasisFunctionType, typename ResultType> class GridFunction;
template <typename BasisFunctionType, typename ResultType>
typename ScalarTraits<BasisFunctionType>::RealType L2NormOfDifference(
        const GridFunction<BasisFunctionType, ResultType>& gridFunction,
        const Fiber::Function<ResultType>& refFunction,
        const Fiber::QuadratureStrategy<
            BasisFunctionType, ResultType, GeometryFactory>& quadStrategy,
        const EvaluationOptions& options = EvaluationOptions());

template <typename BasisFunctionType, typename ResultType>
void estimateL2Error(
        const GridFunction<BasisFunctionType, ResultType>& gridFunction,
        const Fiber::Function<ResultType>& refFunction,
        const Fiber::QuadratureStrategy<
            BasisFunctionType, ResultType, GeometryFactory>& quadStrategy,
        const EvaluationOptions& options,
        typename ScalarTraits<BasisFunctionType>::RealType& absError,
        typename ScalarTraits<BasisFunctionType>::RealType& relError);

template <typename BasisFunctionType, typename ResultType>
void estimateL2Error(
        const GridFunction<BasisFunctionType, ResultType>& gridFunction,
        const Fiber::Function<ResultType>& refFunction,
        const Fiber::QuadratureStrategy<
            BasisFunctionType, ResultType, GeometryFactory>& quadStrategy,
        typename ScalarTraits<BasisFunctionType>::RealType& absError,
        typename ScalarTraits<BasisFunctionType>::RealType& relError);

} // namespace Bempp

#endif