p_laplacian.h

The p-Laplacian problem by the Newton method – class header

class p_laplacian {
public:
typedef field value_type;
typedef Float float_type;
p_laplacian (Float p, const geo& omega, string approx);
field initial() const;
field residue (const field& uh) const;
void update_derivative (const field& uh) const;
field derivative_solve (const field& mrh) const;
field derivative_trans_mult (const field& mrh) const;
Float space_norm (const field& uh) const;
Float dual_space_norm (const field& mrh) const;
Float p;
space Xh;
field lh;
form m;
problem pm;
mutable form a1;
mutable problem pa1;
};
#include "p_laplacian1.icc"
#include "p_laplacian2.icc"
p_laplacian::update_derivative
void update_derivative(const field &uh) const
Definition: p_laplacian1.icc:49
form
see the form page for the full documentation
p_laplacian2.icc
The p-Laplacian problem by the Newton method – class body.
field
see the field page for the full documentation
p_laplacian::p_laplacian
p_laplacian(Float p, const geo &omega, string approx)
Definition: p_laplacian1.icc:28
p_laplacian::p
Float p
Definition: p_laplacian.h:37
p_laplacian::a1
form a1
Definition: p_laplacian.h:42
space
see the space page for the full documentation
p_laplacian::pa1
problem pa1
Definition: p_laplacian.h:43
p_laplacian::float_type
Float float_type
Definition: p_laplacian.h:28
p
Definition: sphere.icc:25
p_laplacian::pm
problem pm
Definition: p_laplacian.h:41
p_laplacian::derivative_solve
field derivative_solve(const field &mrh) const
Definition: p_laplacian1.icc:55
p_laplacian::m
form m
Definition: p_laplacian.h:40
p_laplacian::derivative_trans_mult
field derivative_trans_mult(const field &mrh) const
Definition: p_laplacian2.icc:25
p_laplacian::dual_space_norm
Float dual_space_norm(const field &mrh) const
Definition: p_laplacian2.icc:35
problem
see the problem page for the full documentation
Float
see the Float page for the full documentation
p_laplacian::Xh
space Xh
Definition: p_laplacian.h:38
p_laplacian::residue
field residue(const field &uh) const
Definition: p_laplacian1.icc:42
p_laplacian
Definition: p_laplacian.h:25
p_laplacian::initial
field initial() const
Definition: p_laplacian1.icc:37
p_laplacian::value_type
field value_type
Definition: p_laplacian.h:27
p_laplacian::lh
field lh
Definition: p_laplacian.h:39
p_laplacian::space_norm
Float space_norm(const field &uh) const
Definition: p_laplacian2.icc:32
p_laplacian1.icc
The p-Laplacian problem by the Newton method – class body.
geo
see the geo page for the full documentation