CustomWeakFormHeatMoistureRK::CustomWeakFormHeatMoistureRK(double c_TT, double c_ww, double d_TT, double d_Tw, double d_wT,
double d_ww, double k_TT, double k_ww, double T_ext, double w_ext, const std::string bdy_ext) : WeakForm<double>(2)
{
// Jacobian - volumetric.
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<double>(0, 0, HERMES_ANY, new Hermes1DFunction<double>(-d_TT / c_TT), HERMES_SYM, HERMES_AXISYM_Y));
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<double>(0, 1, HERMES_ANY, new Hermes1DFunction<double>(-d_Tw / c_TT), HERMES_NONSYM, HERMES_AXISYM_Y));
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<double>(1, 0, HERMES_ANY, new Hermes1DFunction<double>(-d_wT / c_ww), HERMES_NONSYM, HERMES_AXISYM_Y));
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<double>(1, 1, HERMES_ANY, new Hermes1DFunction<double>(-d_ww / c_ww), HERMES_SYM, HERMES_AXISYM_Y));
// Jacobian - surface.
add_matrix_form_surf(new WeakFormsH1::DefaultMatrixFormSurf<double>(0, 0, bdy_ext, new Hermes2DFunction<double>(-k_TT / c_TT), HERMES_AXISYM_Y));
add_matrix_form_surf(new WeakFormsH1::DefaultMatrixFormSurf<double>(1, 1, bdy_ext, new Hermes2DFunction<double>(-k_ww / c_ww), HERMES_AXISYM_Y));
// Residual - volumetric
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion<double>(0, HERMES_ANY, new Hermes1DFunction<double>(-d_TT / c_TT), HERMES_AXISYM_Y));
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion<double>(0, HERMES_ANY, new Hermes1DFunction<double>(-d_Tw / c_TT), HERMES_AXISYM_Y));
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion<double>(1, HERMES_ANY, new Hermes1DFunction<double>(-d_wT / c_ww), HERMES_AXISYM_Y));
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion<double>(1, HERMES_ANY, new Hermes1DFunction<double>(-d_ww / c_ww), HERMES_AXISYM_Y));
// Residual - surface.
add_vector_form_surf(new WeakFormsH1::DefaultVectorFormSurf<double>(0, bdy_ext, new Hermes2DFunction<double>(k_TT / c_TT * T_ext), HERMES_AXISYM_Y));
add_vector_form_surf(new WeakFormsH1::DefaultResidualSurf<double>(0, bdy_ext, new Hermes2DFunction<double>(-k_TT / c_TT), HERMES_AXISYM_Y));
add_vector_form_surf(new WeakFormsH1::DefaultVectorFormSurf<double>(1, bdy_ext, new Hermes2DFunction<double>(k_ww / c_ww * w_ext), HERMES_AXISYM_Y));
add_vector_form_surf(new WeakFormsH1::DefaultResidualSurf<double>(1, bdy_ext, new Hermes2DFunction<double>(-k_ww / c_ww), HERMES_AXISYM_Y));
}
CustomWeakFormPoisson::CustomWeakFormPoisson(const std::string& mat_motor, double eps_motor,
const std::string& mat_air, double eps_air) : WeakForm<double>(1)
{
// Jacobian.
add_matrix_form(new WeakFormsH1::DefaultMatrixFormDiffusion<double>(0, 0, mat_motor, new Hermes1DFunction<double>(eps_motor)));
add_matrix_form(new WeakFormsH1::DefaultMatrixFormDiffusion<double>(0, 0, mat_air, new Hermes1DFunction<double>(eps_air)));
}
CustomWeakFormHeatRK1(std::string bdy_air, double alpha, double lambda, double heatcap, double rho,
double time_step, double* current_time_ptr, double temp_init, double t_final,
Solution* prev_time_sln) : WeakForm(1)
{
/* Jacobian */
// Contribution of the time derivative term.
add_matrix_form(new WeakFormsH1::DefaultMatrixFormVol(0, 0, HERMES_ANY, new HermesFunction(1.0 / time_step)));
// Contribution of the diffusion term.
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion(0, 0, HERMES_ANY, new HermesFunction(lambda / (rho * heatcap))));
// Contribution of the Newton boundary condition.
add_matrix_form_surf(new WeakFormsH1::DefaultMatrixFormSurf(0, 0, bdy_air, new HermesFunction(alpha / (rho * heatcap))));
// Residual.
// Contribution of the time derivative term.
add_vector_form(new WeakFormsH1::DefaultResidualVol(0, HERMES_ANY, new HermesFunction(1.0 / time_step)));
// Contribution of the diffusion term.
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion(0, HERMES_ANY, new HermesFunction(lambda / (rho * heatcap))));
CustomVectorFormVol* vec_form_vol = new CustomVectorFormVol(0, time_step);
vec_form_vol->ext.push_back(prev_time_sln);
add_vector_form(vec_form_vol);
// Contribution of the Newton boundary condition.
add_vector_form_surf(new WeakFormsH1::DefaultResidualSurf(0, bdy_air, new HermesFunction(alpha / (rho * heatcap))));
// Contribution of the Newton boundary condition.
add_vector_form_surf(new CustomVectorFormSurf(0, bdy_air, alpha, rho, heatcap,
current_time_ptr, temp_init, t_final));
};
CustomWeakFormWaveRK::CustomWeakFormWaveRK(double c_squared) : WeakForm<double>(2)
{
// Stationary Jacobian.
add_matrix_form(new MatrixFormVolWave_0_1);
add_matrix_form(new MatrixFormVolWave_1_0(c_squared));
// Stationary Residual.
add_vector_form(new VectorFormVolWave_0());
add_vector_form(new VectorFormVolWave_1(c_squared));
}
CustomWeakFormPoisson::CustomWeakFormPoisson(std::string area_1, double r, std::string area_2) : WeakForm<double>(1)
{
// Jacobian.
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<double>(0, 0, area_1, new Hermes1DFunction<double>(r)));
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<double>(0, 0, area_2, nullptr));
// Residual.
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion<double>(0, area_1, new Hermes1DFunction<double>(r)));
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion<double>(0, area_2, nullptr));
}
WeakFormHelmholtz::WeakFormHelmholtz(double eps, double mu, double omega, double sigma, double beta, double E0, double h) : WeakForm<double>(2)
{
add_matrix_form(new MatrixFormHelmholtzEquation_real_real(0, 0, eps, omega, mu));
add_matrix_form(new MatrixFormHelmholtzEquation_real_imag(0, 1, mu, omega, sigma));
add_matrix_form(new MatrixFormHelmholtzEquation_imag_real(1, 0, mu, omega, sigma));
add_matrix_form(new MatrixFormHelmholtzEquation_imag_imag(1, 1, eps, mu, omega));
add_matrix_form_surf(new MatrixFormSurfHelmholtz_real_imag(0, 1, "Bdy_impedance", beta));
add_matrix_form_surf(new MatrixFormSurfHelmholtz_imag_real(1, 0, "Bdy_impedance", beta));
}
// Problems parameters
WeakFormHelmholtz(double eps, double mu, double omega, double sigma, double beta, double E0, double h) : WeakForm(2)
{
add_matrix_form(new MatrixFormHelmholtzEquation_real_real(0, 0, eps, mu));
add_matrix_form(new MatrixFormHelmholtzEquation_real_imag(0, 1, mu, omega, sigma));
add_matrix_form(new MatrixFormHelmholtzEquation_imag_real(1, 0, mu, omega, sigma));
add_matrix_form(new MatrixFormHelmholtzEquation_imag_imag(1, 1, eps, mu, omega));
add_matrix_form_surf(new MatrixFormSurfHelmholtz_real_imag(0, 1, BDY_IMPEDANCE, beta));
add_matrix_form_surf(new MatrixFormSurfHelmholtz_imag_real(1, 0, BDY_IMPEDANCE, beta));
};
CustomWeakFormPoisson::CustomWeakFormPoisson(std::string mat_motor, double eps_motor,
std::string mat_air, double eps_air) : WeakForm(1)
{
// Jacobian.
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion(0, 0, mat_motor, new HermesFunction(eps_motor)));
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion(0, 0, mat_air, new HermesFunction(eps_air)));
// Residual.
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion(0, mat_motor, new HermesFunction(eps_motor)));
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion(0, mat_air, new HermesFunction(eps_air)));
}
CustomWeakFormPoisson::CustomWeakFormPoisson(std::string mat_al, Hermes::Hermes1DFunction<double>* lambda_al,
std::string mat_cu, Hermes::Hermes1DFunction<double>* lambda_cu,
Hermes::Hermes2DFunction<double>* src_term) : WeakForm<double>(1)
{
// Jacobian forms.
add_matrix_form(new WeakFormsH1::DefaultMatrixFormDiffusion<double>(0, 0, mat_al, lambda_al));
add_matrix_form(new WeakFormsH1::DefaultMatrixFormDiffusion<double>(0, 0, mat_cu, lambda_cu));
// Residual forms.
add_vector_form(new WeakFormsH1::DefaultVectorFormVol<double>(0, Hermes::HERMES_ANY, src_term));
};
CustomWeakForm::CustomWeakForm(std::string marker_bdy_right) : WeakForm<double>(1)
{
// Jacobian.
add_matrix_form(new DefaultJacobianDiffusion<double>(0, 0));
add_matrix_form(new CustomJacobian(0, 0));
// Residual.
add_vector_form(new DefaultResidualDiffusion<double>(0));
add_vector_form(new CustomResidual(0));
add_vector_form_surf(new DefaultVectorFormSurf<double>(0, marker_bdy_right, new Hermes::Hermes2DFunction<double>(1.0)));
}
CustomWeakForm::CustomWeakForm(std::string mat_left) : WeakForm<double>(2)
{
// Jacobian forms.
add_matrix_form(new WeakFormsH1::DefaultMatrixFormDiffusion<double>(0, 0));
add_matrix_form(new WeakFormsH1::DefaultMatrixFormDiffusion<double>(1, 1));
add_matrix_form(new CustomFormAdvection(1, 1, mat_left));
// Residual forms.
add_vector_form(new WeakFormsH1::DefaultVectorFormVol<double>(0, Hermes::HERMES_ANY, new Hermes2DFunction<double>(100.0)));
add_vector_form(new WeakFormsH1::DefaultVectorFormVol<double>(1, Hermes::HERMES_ANY, new Hermes2DFunction<double>(1.0)));
};
CustomWeakFormWave::CustomWeakFormWave(double tau, double c_squared, Solution<double>* u_prev_sln,
Solution<double>* v_prev_sln) : WeakForm<double>(2)
{
// Volumetric matrix forms.
add_matrix_form(new WeakFormsH1::DefaultMatrixFormVol<double>(0, 1, HERMES_ANY, new Hermes2DFunction<double>(1.0), HERMES_NONSYM));
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<double>(1, 0, HERMES_ANY, new Hermes1DFunction<double>(-c_squared), HERMES_NONSYM));
// Volumetric surface forms.
add_vector_form(new VectorFormVolWave_0());
add_vector_form(new VectorFormVolWave_1(c_squared));
}
CustomWeakForm::CustomWeakForm(double K_squared) : WeakForm(1)
{
// Jacobian.
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion(0, 0));
add_matrix_form(new WeakFormsH1::DefaultMatrixFormVol(0, 0, HERMES_ANY, K_squared));
// Residual.
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion(0));
add_vector_form(new WeakFormsH1::DefaultResidualVol(0, HERMES_ANY, K_squared));
add_vector_form(new WeakFormsH1::DefaultVectorFormVol(0, HERMES_ANY, -K_squared));
}
CustomWeakForm::CustomWeakForm(CustomFunction* f) : WeakForm(1)
{
// Jacobian.
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion(0, 0));
add_matrix_form(new WeakFormsH1::DefaultMatrixFormVol(0, 0, HERMES_ANY,
new HermesFunction(f->coeff1*f->coeff1)));
// Residual.
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion(0));
add_vector_form(new WeakFormsH1::DefaultResidualVol(0, HERMES_ANY,
new HermesFunction(f->coeff1*f->coeff1)));
add_vector_form(new WeakFormsH1::DefaultVectorFormVol(0, HERMES_ANY, f));
}
CustomWeakFormPoisson::CustomWeakFormPoisson(const std::string& mat_motor, double eps_motor,
const std::string& mat_air, double eps_air, Mesh* mesh)
: WeakForm<double>(1), mat_motor(mat_motor), eps_motor(eps_motor), mat_air(mat_air), eps_air(eps_air), mesh(mesh)
{
// Jacobian.
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<double>(0, 0, mat_motor, new Hermes1DFunction<double>(eps_motor)));
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<double>(0, 0, mat_air, new Hermes1DFunction<double>(eps_air)));
// Residual.
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion<double>(0, mat_motor, new Hermes1DFunction<double>(eps_motor)));
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion<double>(0, mat_air, new Hermes1DFunction<double>(eps_air)));
}
CustomWeakFormPoisson::CustomWeakFormPoisson(std::string mat_al, double lambda_al,
std::string mat_cu, double lambda_cu,
double vol_heat_src) : WeakForm(1)
{
// Jacobian forms - volumetric.
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion(0, 0, mat_al, new HermesFunction(lambda_al)));
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion(0, 0, mat_cu, new HermesFunction(lambda_cu)));
// Residual forms - volumetric.
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion(0, mat_al, new HermesFunction(lambda_al)));
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion(0, mat_cu, new HermesFunction(lambda_cu)));
add_vector_form(new WeakFormsH1::DefaultVectorFormVol(0, HERMES_ANY, new HermesFunction(-vol_heat_src)));
};
CustomWeakFormPoissonDirichlet::CustomWeakFormPoissonDirichlet(std::string mat_al, double lambda_al,
std::string mat_cu, double lambda_cu,
double vol_heat_src) : WeakForm<double>(1)
{
// Jacobian forms - volumetric.
add_matrix_form(new DefaultJacobianDiffusion<double>(0, 0, mat_al, new Hermes1DFunction<double>(lambda_al)));
add_matrix_form(new DefaultJacobianDiffusion<double>(0, 0, mat_cu, new Hermes1DFunction<double>(lambda_cu)));
// Residual forms - volumetric.
add_vector_form(new DefaultResidualDiffusion<double>(0, mat_al, new Hermes1DFunction<double>(lambda_al)));
add_vector_form(new DefaultResidualDiffusion<double>(0, mat_cu, new Hermes1DFunction<double>(lambda_cu)));
add_vector_form(new DefaultVectorFormVol<double>(0, HERMES_ANY, new Hermes2DFunction<double>(-vol_heat_src)));
};
CustomWeakForm::CustomWeakForm(bool JFNK, bool precondition_jacobian, bool precondition_jacobian_approx) : WeakForm<double>(1, JFNK)
{
// Jacobian forms - volumetric.
if(!JFNK || precondition_jacobian)
add_matrix_form(new JacobianFormVol(0, 0));
// Residual forms - volumetric.
add_vector_form(new ResidualFormVol(0, new CustomRightHandSide()));
// Preconditioning form.
if(JFNK && precondition_jacobian_approx)
add_matrix_form(new PrecondFormVol(0, 0));
}
CustomWeakFormPoisson::CustomWeakFormPoisson(const std::string& mat_motor, double eps_motor,
const std::string& mat_air, double eps_air, bool is_matfree) : WeakForm<double>(1)
{
this->is_matfree = is_matfree;
// Jacobian.
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<double>(0, 0, mat_motor, new Hermes1DFunction<double>(eps_motor)));
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<double>(0, 0, mat_air, new Hermes1DFunction<double>(eps_air)));
// Residual.
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion<double>(0, mat_motor, new Hermes1DFunction<double>(eps_motor)));
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion<double>(0, mat_air, new Hermes1DFunction<double>(eps_air)));
}
CustomWeakFormPoisson::CustomWeakFormPoisson(std::string mat_al, HermesFunction* lambda_al,
std::string mat_cu, HermesFunction* lambda_cu,
HermesFunction* src_term) : WeakForm(1)
{
// Jacobian forms.
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion(0, 0, mat_al, lambda_al));
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion(0, 0, mat_cu, lambda_cu));
// Residual forms.
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion(0, mat_al, lambda_al));
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion(0, mat_cu, lambda_cu));
add_vector_form(new WeakFormsH1::DefaultVectorFormVol(0, HERMES_ANY, src_term));
};
CustomWeakForm(std::string material_1, double eps_1, std::string material_2, double eps_2, bool adapt_eval, int adapt_order_increase, double adapt_rel_error_tol)
: WeakForm(1) {
MatrixFormLaplace* first_form = new MatrixFormLaplace(0, 0, material_1, eps_1);
MatrixFormLaplace* second_form = new MatrixFormLaplace(0, 0, material_2, eps_2);
if(adapt_eval) {
first_form->adapt_order_increase = adapt_order_increase;
second_form->adapt_order_increase = adapt_order_increase;
first_form->adapt_rel_error_tol = adapt_rel_error_tol;
second_form->adapt_rel_error_tol = adapt_rel_error_tol;
}
add_matrix_form(first_form);
add_matrix_form(second_form);
};
CustomWeakFormAcoustics::CustomWeakFormAcoustics(std::string bdy_newton, double rho, double sound_speed, double omega) : WeakForm<::complex>(1)
{
std::complex<double> ii = std::complex<double>(0.0, 1.0);
// Jacobian.
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<::complex>(0, 0, HERMES_ANY, new Hermes1DFunction<::complex>(1.0 / rho), HERMES_SYM));
add_matrix_form(new WeakFormsH1::DefaultMatrixFormVol<::complex>(0, 0, HERMES_ANY, new Hermes2DFunction<::complex>(-sqr(omega) / rho / sqr(sound_speed)), HERMES_SYM));
add_matrix_form_surf(new WeakFormsH1::DefaultMatrixFormSurf<::complex>(0, 0, bdy_newton, new Hermes2DFunction<::complex>(-ii * omega / rho / sound_speed)));
// Residual.
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion<::complex>(0, HERMES_ANY, new Hermes1DFunction<::complex>(1.0 / rho)));
add_vector_form(new WeakFormsH1::DefaultResidualVol<::complex>(0, HERMES_ANY, new Hermes2DFunction<::complex>(-sqr(omega) / rho / sqr(sound_speed))));
add_vector_form_surf(new WeakFormsH1::DefaultResidualSurf<::complex>(0, bdy_newton, new Hermes2DFunction<::complex>(-ii * omega / rho / sound_speed)));
}
WeakFormNSNewton::WeakFormNSNewton(bool Stokes, double Reynolds, double time_step, Solution<double>* x_vel_previous_time,
Solution<double>* y_vel_previous_time) : WeakForm<double>(3), Stokes(Stokes),
Reynolds(Reynolds), time_step(time_step), x_vel_previous_time(x_vel_previous_time),
y_vel_previous_time(y_vel_previous_time)
{
BilinearFormSymVel* sym_form_0 = new BilinearFormSymVel(0, 0, Stokes, Reynolds, time_step);
add_matrix_form(sym_form_0);
BilinearFormSymVel* sym_form_1 = new BilinearFormSymVel(1, 1, Stokes, Reynolds, time_step);
add_matrix_form(sym_form_1);
BilinearFormNonsymVel_0_0* nonsym_vel_form_0_0 = new BilinearFormNonsymVel_0_0(0, 0, Stokes);
add_matrix_form(nonsym_vel_form_0_0);
BilinearFormNonsymVel_0_1* nonsym_vel_form_0_1 = new BilinearFormNonsymVel_0_1(0, 1, Stokes);
add_matrix_form(nonsym_vel_form_0_1);
BilinearFormNonsymVel_1_0* nonsym_vel_form_1_0 = new BilinearFormNonsymVel_1_0(1, 0, Stokes);
add_matrix_form(nonsym_vel_form_1_0);
BilinearFormNonsymVel_1_1* nonsym_vel_form_1_1 = new BilinearFormNonsymVel_1_1(1, 1, Stokes);
add_matrix_form(nonsym_vel_form_1_1);
BilinearFormNonsymXVelPressure* nonsym_velx_pressure_form = new BilinearFormNonsymXVelPressure(0, 2);
add_matrix_form(nonsym_velx_pressure_form);
BilinearFormNonsymYVelPressure* nonsym_vely_pressure_form = new BilinearFormNonsymYVelPressure(1, 2);
add_matrix_form(nonsym_vely_pressure_form);
VectorFormNS_0* F_0 = new VectorFormNS_0(0, Stokes, Reynolds, time_step);
F_0->ext = Hermes::vector<MeshFunction<double>*>(x_vel_previous_time, y_vel_previous_time);
add_vector_form(F_0);
VectorFormNS_1* F_1 = new VectorFormNS_1(1, Stokes, Reynolds, time_step);
F_1->ext = Hermes::vector<MeshFunction<double>*>(x_vel_previous_time, y_vel_previous_time);
add_vector_form(F_1);
VectorFormNS_2* F_2 = new VectorFormNS_2(2);
add_vector_form(F_2);
}
WeakFormNSNewton(bool Stokes, double Reynolds, double time_step, Solution* x_vel_previous_time,
Solution* y_vel_previous_time) : WeakForm(3), Stokes(Stokes),
Reynolds(Reynolds), time_step(time_step), x_vel_previous_time(x_vel_previous_time),
y_vel_previous_time(y_vel_previous_time) {
// Jacobian
BilinearFormSymVel* sym_form_0 = new BilinearFormSymVel(0, 0, Stokes, Reynolds, time_step);
add_matrix_form(sym_form_0);
BilinearFormSymVel* sym_form_1 = new BilinearFormSymVel(1, 1, Stokes, Reynolds, time_step);
add_matrix_form(sym_form_1);
BilinearFormNonsymVel_0_0* nonsym_vel_form_0_0 = new BilinearFormNonsymVel_0_0(0, 0, Stokes);
add_matrix_form(nonsym_vel_form_0_0);
BilinearFormNonsymVel_0_1* nonsym_vel_form_0_1 = new BilinearFormNonsymVel_0_1(0, 1, Stokes);
add_matrix_form(nonsym_vel_form_0_1);
BilinearFormNonsymVel_1_0* nonsym_vel_form_1_0 = new BilinearFormNonsymVel_1_0(1, 0, Stokes);
add_matrix_form(nonsym_vel_form_1_0);
BilinearFormNonsymVel_1_1* nonsym_vel_form_1_1 = new BilinearFormNonsymVel_1_1(1, 1, Stokes);
add_matrix_form(nonsym_vel_form_1_1);
BilinearFormNonsymXVelPressure* nonsym_velx_pressure_form = new BilinearFormNonsymXVelPressure(0, 2);
add_matrix_form(nonsym_velx_pressure_form);
BilinearFormNonsymYVelPressure* nonsym_vely_pressure_form = new BilinearFormNonsymYVelPressure(1, 2);
add_matrix_form(nonsym_vely_pressure_form);
// Residual.
VectorFormNS_0* F_0 = new VectorFormNS_0(0, Stokes, Reynolds, time_step);
F_0->ext.push_back(x_vel_previous_time);
add_vector_form(F_0);
VectorFormNS_1* F_1 = new VectorFormNS_1(1, Stokes, Reynolds, time_step);
F_1->ext.push_back(y_vel_previous_time);
add_vector_form(F_1);
VectorFormNS_2* F_2 = new VectorFormNS_2(2);
add_vector_form(F_2);
};
CustomWeakFormAcoustics(std::string bdy_newton, double rho, double sound_speed, double omega) : WeakForm(1)
{
scalar ii = cplx(0.0, 1.0);
// Jacobian.
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion(0, 0, HERMES_ANY, new HermesFunction(1.0/rho), HERMES_SYM));
add_matrix_form(new WeakFormsH1::DefaultMatrixFormVol(0, 0, HERMES_ANY, new HermesFunction(-sqr(omega) / rho / sqr(sound_speed)), HERMES_SYM));
add_matrix_form_surf(new WeakFormsH1::DefaultMatrixFormSurf(0, 0, bdy_newton, new HermesFunction(-ii * omega / rho / sound_speed)));
// Residual.
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion(0, HERMES_ANY, new HermesFunction(1.0/rho)));
add_vector_form(new WeakFormsH1::DefaultResidualVol(0, HERMES_ANY, new HermesFunction(-sqr(omega) / rho / sqr(sound_speed))));
add_vector_form_surf(new WeakFormsH1::DefaultResidualSurf(0, bdy_newton, new HermesFunction(-ii * omega / rho / sound_speed)));
};
CustomWeakFormLinearElasticity::CustomWeakFormLinearElasticity(double E, double nu, double rho_g,
std::string surface_force_bdy, double f0, double f1) : WeakForm(2)
{
double lambda = (E * nu) / ((1 + nu) * (1 - 2*nu));
double mu = E / (2*(1 + nu));
#ifdef USE_MULTICOMPONENT_FORMS
// Jacobian matrix.
// There is one multi-component and one single-component form since we want to exploit symmetry of the forms.
add_multicomponent_matrix_form(new WeakFormsElasticity::DefaultJacobianElasticity_00_11(
Hermes::vector<std::pair<unsigned int, unsigned int> >(make_pair(0, 0), make_pair(1, 1)),
HERMES_ANY, lambda, mu));
add_matrix_form(new WeakFormsElasticity::DefaultJacobianElasticity_0_1(0, 1, lambda, mu));
// Residual.
add_multicomponent_vector_form(new WeakFormsElasticity::DefaultResidualElasticity_00_11(
Hermes::vector<unsigned int>(0, 1), lambda, mu));
add_vector_form(new WeakFormsElasticity::DefaultResidualElasticity_0_1(0, lambda, mu));
add_vector_form(new WeakFormsElasticity::DefaultResidualElasticity_1_0(1, lambda, mu));
// Gravity loading.
add_vector_form(new WeakFormsH1::DefaultVectorFormVol(1, HERMES_ANY, new HermesFunction(-rho_g)));
// External forces.
add_multicomponent_vector_form_surf(new WeakFormsH1::DefaultMultiComponentVectorFormSurf(
Hermes::vector<unsigned int>(0, 1), surface_force_bdy,
Hermes::vector<double>(f0, f1)));
#else
// SINGLE-COMPONENT FORMS. USEFUL FOR MULTIMESH, DO NOT REMOVE.
// Jacobian.
add_matrix_form(new WeakFormsElasticity::DefaultJacobianElasticity_0_0(0, 0, lambda, mu));
add_matrix_form(new WeakFormsElasticity::DefaultJacobianElasticity_0_1(0, 1, lambda, mu));
add_matrix_form(new WeakFormsElasticity::DefaultJacobianElasticity_1_1(1, 1, lambda, mu));
// Residual - first equation.
add_vector_form(new WeakFormsElasticity::DefaultResidualElasticity_0_0(0, HERMES_ANY, lambda, mu));
add_vector_form(new WeakFormsElasticity::DefaultResidualElasticity_0_1(0, HERMES_ANY, lambda, mu));
// Surface force (first component).
add_vector_form_surf(new WeakFormsH1::DefaultVectorFormSurf(0, surface_force_bdy, new HermesFunction(f0)));
// Residual - second equation.
add_vector_form(new WeakFormsElasticity::DefaultResidualElasticity_1_0(1, HERMES_ANY, lambda, mu));
add_vector_form(new WeakFormsElasticity::DefaultResidualElasticity_1_1(1, HERMES_ANY, lambda, mu));
// Gravity loading in the second vector component.
add_vector_form(new WeakFormsH1::DefaultVectorFormVol(1, HERMES_ANY, new HermesFunction(rho_g)));
// Surface force (second component).
add_vector_form_surf(new WeakFormsH1::DefaultVectorFormSurf(1, surface_force_bdy, new HermesFunction(f1)));
#endif
}
CustomWeakForm(double mu_r, double kappa) : WeakForm(1)
{
std::complex<double> ii = std::complex<double>(0.0, 1.0);
// Jacobian.
add_matrix_form(new WeakFormsHcurl::DefaultJacobianCurlCurl<std::complex<double> >(0, 0, HERMES_ANY, 1.0/mu_r));
add_matrix_form(new WeakFormsHcurl::DefaultMatrixFormVol<std::complex<double> >(0, 0, HERMES_ANY, -sqr(kappa)));
add_matrix_form_surf(new WeakFormsHcurl::DefaultMatrixFormSurf<std::complex<double> >(0, 0, HERMES_ANY, -kappa*ii));
// Residual.
add_vector_form(new WeakFormsHcurl::DefaultResidualCurlCurl<std::complex<double> >(0, HERMES_ANY, 1.0/mu_r));
add_vector_form(new WeakFormsHcurl::DefaultResidualVol<std::complex<double> >(0, HERMES_ANY, -sqr(kappa)));
add_vector_form_surf(new WeakFormsHcurl::DefaultResidualSurf<std::complex<double> >(0, HERMES_ANY, -kappa*ii));
add_vector_form_surf(new CustomVectorFormSurf());
};
CustomWeakFormContinuousGalerkin::CustomWeakFormContinuousGalerkin(GalerkinMethod method, double epsilon)
: WeakForm(1), fn_epsilon(new HermesFunction(epsilon)),
fn_b1(new HermesFunction(ConstFlowField::b1)), fn_b2(new HermesFunction(ConstFlowField::b2))
{
add_matrix_form(new WeakFormsH1::DefaultJacobianAdvection(0, 0, HERMES_ANY, fn_b1, fn_b2));
add_vector_form(new WeakFormsH1::DefaultResidualAdvection(0, HERMES_ANY, fn_b1, fn_b2));
add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion(0, 0, HERMES_ANY, fn_epsilon, HERMES_SYM));
add_vector_form(new WeakFormsH1::DefaultResidualDiffusion(0, HERMES_ANY, fn_epsilon));
if (method != CG)
{
add_matrix_form(new StabilizationJacobian(method, epsilon));
add_vector_form(new StabilizationResidual(method, epsilon));
}
}
CustomWeakForm::CustomWeakForm(CustomRightHandSide* rhs, std::string bdy_left_right, double K) : WeakForm(1)
{
add_matrix_form(new CustomMatrixFormVol(0, 0));
add_vector_form(new CustomVectorFormVol(0, rhs));
add_vector_form_surf(new CustomVectorFormSurfRight(0, K, bdy_left_right));
add_vector_form_surf(new CustomVectorFormSurfLeft(0, K, bdy_left_right));
}
CustomWeakForm::CustomWeakForm(CustomRightHandSide* rhs) : WeakForm(1)
{
// Jacobian.
add_matrix_form(new CustomMatrixFormVol(0, 0, rhs->epsilon));
// Residual.
add_vector_form(new CustomVectorFormVol(0, rhs));
}