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ExactFunction Struct Reference

Function. More...

## Public Member Functions

double operator() (const double x, const double y, const double t) const

double operator() (const double x, const double y, const double t) const

double operator() (const double x, const double y, const double z) const

double operator() (const double x, const double y, const double z) const

double operator() (const double x, const double y, const double z) const

## Detailed Description

Function.

This is prescribed exact function. If this function is given by polynomial order of "p" and order of approximation is "p" or higher, solution of finite element method is exact (with machine precision).

$u = 1+x+2y+3z$

This is prescribed exact function. If this function is given by polynomial order of "p" and order of approximation is "p" or higher, solution of finite element method is exact (with machine precision).

$u = 1+x^2+y^2+z^3$

This is prescribed exact function. If this function is given by polynomial order of "p" and order of approximation is "p" or higher, solution of finite element method is exact (with machine precision).

$u = 1+x^2+y^2+z^3$

Examples
analytical_nonlinear_poisson.cpp, analytical_poisson.cpp, and analytical_poisson_field_split.cpp.

Definition at line 175 of file mixed_reac_diff.cpp.

## ◆ operator()() [1/5]

 double ExactFunction::operator() ( const double x, const double y, const double t ) const
inline
Examples
analytical_nonlinear_poisson.cpp, analytical_poisson.cpp, and analytical_poisson_field_split.cpp.

Definition at line 176 of file mixed_reac_diff.cpp.

176 {
177 double g = cos(T * x) * cos(T * y);
178 if (t <= ramp_t) {
179 return g * t;
180 } else {
181 return g * ramp_t;
182 }
183 }
const double ramp_t
constexpr double t
plate stiffness
Definition: plate.cpp:59
constexpr double g

## ◆ operator()() [2/5]

 double ExactFunction::operator() ( const double x, const double y, const double t ) const
inline

Definition at line 155 of file std_reac_diff.cpp.

155 {
156 double g = sin(T * x) * sin(T * y);
157 double val = 0;
158 if (x > -sml) {
159 val = 1.0 * g;
160 } else {
161 val = g;
162 }
163 if (t <= ramp_t) {
164 return val * t;
165 } else {
166 return val * ramp_t;
167 }
168 }
const double sml

## ◆ operator()() [3/5]

 double ExactFunction::operator() ( const double x, const double y, const double z ) const
inline

Definition at line 35 of file analytical_nonlinear_poisson.cpp.

35 {
36 return 1 + x + y + pow(z, 3);
37 }

## ◆ operator()() [4/5]

 double ExactFunction::operator() ( const double x, const double y, const double z ) const
inline

Definition at line 33 of file analytical_poisson.cpp.

33 {
34 return 1 + x * x + y * y + z * z * z;
35 }

## ◆ operator()() [5/5]

 double ExactFunction::operator() ( const double x, const double y, const double z ) const
inline

Definition at line 36 of file analytical_poisson_field_split.cpp.

36 {
37 return 1 + x * x + y * y + z * z * z;
38 }

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