Mass and stiffness matrices. More...

#include <matrices.hh>

Inheritance diagram for test::TestMatrices2D:
test::TestCase

Public Member Functions

void _succeed ()
 Explicitly succeds a test. More...
 
long getNumFailed () const
 Returns number of failed tests. More...
 
long getNumPassed () const
 Returns number of passed tests. More...
 
const ostream * getStream () const
 Returns output stream. More...
 
long report () const
 Prints a report on the number of passed and failed tests to the output stream. More...
 
virtual void reset ()
 Resets the counters for the failed and passed tests. More...
 
virtual void run ()
 Runs the tests. Must be overwritten by the specialization. More...
 
void setStream (ostream *osptr)
 Sets the output stream. More...
 
virtual ~TestMatrices2D ()
 
Test routines
void testMassMatrix0101 ()
 Tests mass matrix in (0,1)2 More...
 
void testMassMatrix010_01 ()
 Tests mass matrix in (0,1) x (0, 1/100) More...
 
void testStiffnessMatrix0101 ()
 Tests stiffness matrix in (0,1)2 More...
 
void testStiffnessMatrix010_01 ()
 Tests stiffness matrix in (0,1) x (0, 1/100) More...
 
void testStiffnessMatrix0101_withMatrix ()
 Tests stiffness matrix in (0,1)2 with a matrix inbetween the gradients. More...
 
void testTwoPartialDerivMatrix0101 ()
 Tests the four matrix of two partial derivatives in (0,1)2 More...
 
void testOnePartialDerivMatrix0101 ()
 Tests the four matrix of one partial derivatives in (0,1)2 More...
 
void testIdDivMatrix0101 ()
 Tests the matrix related to the IdDiv-bilinear form in (0,1)2 More...
 
void testIdDivMatrix0101_difp ()
 Tests the matrix related to the IdDiv-bilinear form in (0,1)2 More...
 
void testDivDivMatrix0101 ()
 Tests the matrix related to the DivDiv-bilinear form in (0,1)2 with different polynomial degree. More...
 
void testDivDivMatrix0101_difp ()
 Tests the matrix related to the DivDiv-bilinear form in (0,1)2 for two spaces of different polynomial degree. More...
 
void testVectorLaplaceMatrix0101 ()
 Tests the matrix related to the vectorial Laplace-bilinear form in (0,1)2. More...
 
void testVectorIdentityMatrix0101 ()
 Tests the matrix related to the vectorial Identity-bilinear form in (0,1)2. More...
 
void testMassMatrixOnEdge ()
 Test element mass matrix in (0,1) More...
 
void testMassMatrixLaguerre ()
 Test element mass matrix with Laguerre basis in $(0,1)\times[0,inf)$. More...
 
void testStiffnessMatrixLaguerre ()
 Test element stifness matrix with Laguerre basis in $(0,1)\times[0,inf)$. More...
 
void testAdvectionMatrixLaguerre ()
 Test element stifness matrix with Laguerre basis in $(0,1)\times[0,inf)$. More...
 
void testOnePartialDerivMatrixLaguerre ()
 Test partial derivative bilinear form with Laguerre basis in $(0,1)\times[0,inf)$. More...
 
void testElementMatrixIdentity ()
 Tests the element matrix related to hp2D::Identity for two spaces of different polynomial degree. More...
 
void testElementMatrixLaplace ()
 Tests the element matrix related to hp2D::Laplace for two spaces of different polynomial degree. More...
 
void testElementMatrixAdvection ()
 Tests the element matrix related to hp2D::Advection for two spaces of different polynomial degree. More...
 

Protected Member Functions

void do_fail (const string &lbl, const char *fname, long lineno)
 Internal function to report a failed test (besides increasing the failed counter) More...
 
bool do_numtest (double num, double orig, const string &lbl, const string &lbl2, const char *fname, long lineno, const double tol=1e-10)
 Internal function to do a numerical test. More...
 
bool do_numtest (std::complex< double > num, std::complex< double > orig, const string &lbl, const string &lbl2, const char *fname, long lineno, const double tol=1e-10)
 
bool do_test (bool cond, const string &lbl, const char *fname, long lineno)
 Internal function to do a test. More...
 

Private Attributes

long m_nFail
 
long m_nPass
 
ostream * m_osptr
 

Detailed Description

Mass and stiffness matrices.

The matrices are tested in a normal (0,1)2 element and a needle element (0,1) x (0, 1/100). The exact values were computed using Mathematica.

Author
Philipp Frauenfelder, 2004

Definition at line 21 of file matrices.hh.

Constructor & Destructor Documentation

◆ ~TestMatrices2D()

virtual test::TestMatrices2D::~TestMatrices2D ( )
virtual

Member Function Documentation

◆ _succeed()

void test::TestCase::_succeed ( )
inlineinherited

Explicitly succeds a test.

Definition at line 112 of file testcase.hh.

◆ do_fail()

void test::TestCase::do_fail ( const string &  lbl,
const char *  fname,
long  lineno 
)
protectedinherited

Internal function to report a failed test (besides increasing the failed counter)

◆ do_numtest() [1/2]

bool test::TestCase::do_numtest ( double  num,
double  orig,
const string &  lbl,
const string &  lbl2,
const char *  fname,
long  lineno,
const double  tol = 1e-10 
)
protectedinherited

Internal function to do a numerical test.

◆ do_numtest() [2/2]

bool test::TestCase::do_numtest ( std::complex< double >  num,
std::complex< double >  orig,
const string &  lbl,
const string &  lbl2,
const char *  fname,
long  lineno,
const double  tol = 1e-10 
)
protectedinherited

◆ do_test()

bool test::TestCase::do_test ( bool  cond,
const string &  lbl,
const char *  fname,
long  lineno 
)
protectedinherited

Internal function to do a test.

◆ getNumFailed()

long test::TestCase::getNumFailed ( ) const
inlineinherited

Returns number of failed tests.

Definition at line 105 of file testcase.hh.

◆ getNumPassed()

long test::TestCase::getNumPassed ( ) const
inlineinherited

Returns number of passed tests.

Definition at line 103 of file testcase.hh.

◆ getStream()

const ostream* test::TestCase::getStream ( ) const
inlineinherited

Returns output stream.

Definition at line 107 of file testcase.hh.

◆ report()

long test::TestCase::report ( ) const
inherited

Prints a report on the number of passed and failed tests to the output stream.

Returns
Number of failed tests.

◆ reset()

virtual void test::TestCase::reset ( )
inlinevirtualinherited

Resets the counters for the failed and passed tests.

Definition at line 119 of file testcase.hh.

◆ run()

virtual void test::TestMatrices2D::run ( )
virtual

Runs the tests. Must be overwritten by the specialization.

Implements test::TestCase.

◆ setStream()

void test::TestCase::setStream ( ostream *  osptr)
inlineinherited

Sets the output stream.

Definition at line 109 of file testcase.hh.

◆ testAdvectionMatrixLaguerre()

void test::TestMatrices2D::testAdvectionMatrixLaguerre ( )

Test element stifness matrix with Laguerre basis in $(0,1)\times[0,inf)$.

◆ testDivDivMatrix0101()

void test::TestMatrices2D::testDivDivMatrix0101 ( )

Tests the matrix related to the DivDiv-bilinear form in (0,1)2 with different polynomial degree.

◆ testDivDivMatrix0101_difp()

void test::TestMatrices2D::testDivDivMatrix0101_difp ( )

Tests the matrix related to the DivDiv-bilinear form in (0,1)2 for two spaces of different polynomial degree.

◆ testElementMatrixAdvection()

void test::TestMatrices2D::testElementMatrixAdvection ( )

Tests the element matrix related to hp2D::Advection for two spaces of different polynomial degree.

◆ testElementMatrixIdentity()

void test::TestMatrices2D::testElementMatrixIdentity ( )

Tests the element matrix related to hp2D::Identity for two spaces of different polynomial degree.

◆ testElementMatrixLaplace()

void test::TestMatrices2D::testElementMatrixLaplace ( )

Tests the element matrix related to hp2D::Laplace for two spaces of different polynomial degree.

◆ testIdDivMatrix0101()

void test::TestMatrices2D::testIdDivMatrix0101 ( )

Tests the matrix related to the IdDiv-bilinear form in (0,1)2

◆ testIdDivMatrix0101_difp()

void test::TestMatrices2D::testIdDivMatrix0101_difp ( )

Tests the matrix related to the IdDiv-bilinear form in (0,1)2

◆ testMassMatrix0101()

void test::TestMatrices2D::testMassMatrix0101 ( )

Tests mass matrix in (0,1)2

◆ testMassMatrix010_01()

void test::TestMatrices2D::testMassMatrix010_01 ( )

Tests mass matrix in (0,1) x (0, 1/100)

◆ testMassMatrixLaguerre()

void test::TestMatrices2D::testMassMatrixLaguerre ( )

Test element mass matrix with Laguerre basis in $(0,1)\times[0,inf)$.

◆ testMassMatrixOnEdge()

void test::TestMatrices2D::testMassMatrixOnEdge ( )

Test element mass matrix in (0,1)

◆ testOnePartialDerivMatrix0101()

void test::TestMatrices2D::testOnePartialDerivMatrix0101 ( )

Tests the four matrix of one partial derivatives in (0,1)2

◆ testOnePartialDerivMatrixLaguerre()

void test::TestMatrices2D::testOnePartialDerivMatrixLaguerre ( )

Test partial derivative bilinear form with Laguerre basis in $(0,1)\times[0,inf)$.

◆ testStiffnessMatrix0101()

void test::TestMatrices2D::testStiffnessMatrix0101 ( )

Tests stiffness matrix in (0,1)2

◆ testStiffnessMatrix0101_withMatrix()

void test::TestMatrices2D::testStiffnessMatrix0101_withMatrix ( )

Tests stiffness matrix in (0,1)2 with a matrix inbetween the gradients.

◆ testStiffnessMatrix010_01()

void test::TestMatrices2D::testStiffnessMatrix010_01 ( )

Tests stiffness matrix in (0,1) x (0, 1/100)

◆ testStiffnessMatrixLaguerre()

void test::TestMatrices2D::testStiffnessMatrixLaguerre ( )

Test element stifness matrix with Laguerre basis in $(0,1)\times[0,inf)$.

◆ testTwoPartialDerivMatrix0101()

void test::TestMatrices2D::testTwoPartialDerivMatrix0101 ( )

Tests the four matrix of two partial derivatives in (0,1)2

◆ testVectorIdentityMatrix0101()

void test::TestMatrices2D::testVectorIdentityMatrix0101 ( )

Tests the matrix related to the vectorial Identity-bilinear form in (0,1)2.

◆ testVectorLaplaceMatrix0101()

void test::TestMatrices2D::testVectorLaplaceMatrix0101 ( )

Tests the matrix related to the vectorial Laplace-bilinear form in (0,1)2.

Member Data Documentation

◆ m_nFail

long test::TestCase::m_nFail
privateinherited

Definition at line 139 of file testcase.hh.

◆ m_nPass

long test::TestCase::m_nPass
privateinherited

Definition at line 138 of file testcase.hh.

◆ m_osptr

ostream* test::TestCase::m_osptr
privateinherited

Definition at line 137 of file testcase.hh.


The documentation for this class was generated from the following file:
Page URL: http://wiki.math.ethz.ch/bin/view/Concepts/WebHome
21 August 2020
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