#include <set>
#include <algebra/infinite_vector.h>
#include <adaptive/compression.h>
#include <cdd1_local.cpp>
Go to the source code of this file.
Classes | |
struct | FrameTL::CDD1Parameters |
Namespaces | |
namespace | FrameTL |
Functions | |
template<class PROBLEM > | |
void | FrameTL::CDD1_LOCAL_SOLVE (const PROBLEM &P, const int patch, const double epsilon, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &guess, InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &u_epsilon, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &v_k, const int jmax, const CompressionStrategy strategy) |
The routine ALGORITHMc from [BB+], with a given initial guess for u_epsilon. | |
template<class PROBLEM > | |
void | FrameTL::CDD1_LOCAL_SOLVE (const PROBLEM &P, const int patch, const double epsilon, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &guess, InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &u_epsilon, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &v_k, const double c1, const double c2, const int jmax, const CompressionStrategy strategy) |
The routine ALGORITHMc from [BB+], with a given initial guess for u_epsilon and for the parameters c1,c2. | |
template<class PROBLEM > | |
void | FrameTL::NPROG (const PROBLEM &P, const int patch, const CDD1Parameters ¶ms, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &F, const set< typename PROBLEM::WaveletBasis::Index > &Lambda, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &v, const double delta, InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &v_hat, set< typename PROBLEM::WaveletBasis::Index > &Lambda_hat, InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &r_hat, InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &u_Lambda_k, const int jmax, const CompressionStrategy strategy) |
NPROG. | |
template<class PROBLEM > | |
void | FrameTL::GALERKIN (const PROBLEM &P, const int patch, const CDD1Parameters ¶ms, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &F, const set< typename PROBLEM::WaveletBasis::Index > &Lambda, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &v, const double delta, const double eta, InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &u_bar, const int jmax, const CompressionStrategy strategy) |
GALERKIN. | |
template<class PROBLEM > | |
void | FrameTL::NGROW (const PROBLEM &P, const int patch, const CDD1Parameters ¶ms, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &F, const set< typename PROBLEM::WaveletBasis::Index > &Lambda, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &u_bar, const double xi1, const double xi2, set< typename PROBLEM::WaveletBasis::Index > &Lambda_tilde, InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &r, const int jmax, const CompressionStrategy strategy) |
NGROW. | |
template<class PROBLEM > | |
void | FrameTL::INRESIDUAL (const PROBLEM &P, const int patch, const CDD1Parameters ¶ms, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &F, const set< typename PROBLEM::WaveletBasis::Index > &Lambda, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &v, const double eta1, const double eta2, InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &r, const int jmax, const CompressionStrategy strategy) |
INRESIDUAL. | |
template<class PROBLEM > | |
void | FrameTL::NRESIDUAL (const PROBLEM &P, const int patch, const CDD1Parameters ¶ms, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &F, const set< typename PROBLEM::WaveletBasis::Index > &Lambda, const InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &v, const double eta1, const double eta2, InfiniteVector< double, typename PROBLEM::WaveletBasis::Index > &r, set< typename PROBLEM::WaveletBasis::Index > &Lambda_tilde, const int jmax, const CompressionStrategy strategy) |
NRESIDUAL. |
An adaptive, residual-based solver for the infinite-dimensional problem
,
as developed in [CDD1] and [BB+], where A is assumed to be s.p.d. Given the problem and a target accuracy epsilon, the algorithm constructs a coefficient vector u_epsilon, such that
.
You can specify a maximal level jmax for the internal APPLY calls.
References: [BB+] Barinka/Barsch/Charton/Cohen/Dahlke/Dahmen/Urban: Adaptive Wavelet Schemes For Elliptic Problems: Implementation and Numerical Experiments [CDD1] Cohen/Dahmen/DeVore: Adaptive Wavelet Methods II - Beyond the Elliptic Case.