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p_laplacian.h

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

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