Evolving surface finite element method: Esfem::SecOrd_op::vIdata Class Reference

Evolving surface finite element method v0.3.0-14-g3598512

Numerical experiments for my papers

Vector valued initial data. More...

#include <secOrd_op_initData.h>

Inheritance diagram for Esfem::SecOrd_op::vIdata:

Inheritance graph

[legend]

Public Member Functions
virtual vIdata *	clone ()=0
	Virtual copy constructor.

virtual	~vIdata ()
	Abstract base class.

virtual void	interpolate (Grid::Vec_FEfun &) const =0
	Lagrange interpolation.

Static Public Member Functions
static vIdata *	new_ssef (const Grid::Grid_and_time &)
	Stationary sphere eigen functions. More...

static vIdata *	new_sms (const Grid::Grid_and_time &)
	Exact sphere solution of mean curvature flow. More...

static vIdata *	new_sls (const Grid::Grid_and_time &)
	For Brusselator_scheme::eoc_sls()

static vIdata *	new_v_sls (const Grid::Grid_and_time &)
	Exact velocity for Brusselator_scheme::eoc_sls()

static vIdata *	new_sd (const Grid::Grid_and_time &)
	For Brusselator_scheme::sd()

Detailed Description

Vector valued initial data.

Definition at line 68 of file secOrd_op_initData.h.

Member Function Documentation

vIdata * vIdata::new_sms ( const Grid::Grid_and_time & gt )

static

Exact sphere solution of mean curvature flow.

A factory function. For $S^n_{R_0} \subset \R^{n+1}$ with initial radius of $R_0>0$ , the radius of the exact solution is given via

$R(t)= \sqrt{R^2_0 - 2nt},\quad t\in \left(-\infty, \frac{R^2_0}{2n}\right)$

Definition at line 86 of file secOrd_op_initData.cpp.

vIdata * vIdata::new_ssef ( const Grid::Grid_and_time & gt )

static

Stationary sphere eigen functions.

A factory function. $e^{-6t}(xy, yz, xz)$ are eigen functions for the Laplace operator on the sphere.

Postcondition: Grid and time outlive this object.

Definition at line 82 of file secOrd_op_initData.cpp.

The documentation for this class was generated from the following files:

include/secOrd_op_initData.h
src/secOrd_op_initData.cpp