Rheolef  7.2
an efficient C++ finite element environment
elasticity_taylor_dg.cc
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1
25#include "rheolef.h"
26using namespace rheolef;
27using namespace std;
28#include "taylor.h"
29int main(int argc, char**argv) {
30 environment rheolef (argc, argv);
31 geo omega (argv[1]);
32 space Xh (omega, argv[2], "vector");
33 Float lambda = (argc > 3) ? atof(argv[3]) : 1;
34 size_t d = omega.dimension();
35 size_t k = Xh.degree();
36 Float beta = (k+1)*(k+d)/Float(d);
37 trial u (Xh); test v (Xh);
38 form a = integrate (lambda*div_h(u)*div_h(v) + 2*ddot(Dh(u),Dh(v)))
39 + integrate (omega.sides(),
40 beta*penalty()*dot(jump(u),jump(v))
41 - lambda*dot(jump(u),average(div_h(v)*normal()))
42 - lambda*dot(jump(v),average(div_h(u)*normal()))
43 - 2*dot(jump(u),average(Dh(v)*normal()))
44 - 2*dot(jump(v),average(Dh(u)*normal())));
45 field lh = integrate (dot(f(),v))
46 + integrate (omega.boundary(),
47 beta*penalty()*dot(g(),jump(v))
48 - lambda*dot(g(),average(div_h(v)*normal()))
49 - 2*dot(g(),average(Dh(v)*normal())));
50 field uh(Xh);
51 problem p (a);
52 p.solve (lh, uh);
53 dout << uh;
54}
u_exact g
field lh(Float epsilon, Float t, const test &v)
see the Float page for the full documentation
see the field page for the full documentation
see the form page for the full documentation
see the geo page for the full documentation
see the problem page for the full documentation
see the environment page for the full documentation
Definition: environment.h:121
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
point u(const point &x)
int main(int argc, char **argv)
rheolef::details::is_vec dot
This file is part of Rheolef.
T ddot(const tensor_basic< T > &a, const tensor_basic< T > &b)
ddot(x,y): see the expression page for the full documentation
Definition: tensor.cc:278
std::enable_if< details::has_field_rdof_interface< Expr >::value, details::field_expr_v2_nonlinear_terminal_field< typenameExpr::scalar_type, typenameExpr::memory_type, details::differentiate_option::divergence > >::type div_h(const Expr &expr)
div_h(uh): see the expression page for the full documentation
details::field_expr_v2_nonlinear_terminal_function< details::normal_pseudo_function< Float > > normal()
normal: see the expression page for the full documentation
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&!is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:211
std::enable_if< details::has_field_rdof_interface< Expr >::value, details::field_expr_v2_nonlinear_terminal_field< typenameExpr::scalar_type, typenameExpr::memory_type, details::differentiate_option::gradient > >::type Dh(const Expr &expr)
Dh(uh): see the expression page for the full documentation.
details::field_expr_v2_nonlinear_terminal_function< details::penalty_pseudo_function< Float > > penalty()
penalty(): see the expression page for the full documentation
Float beta[][pmax+1]
STL namespace.
rheolef - reference manual
Definition: sphere.icc:25
Definition: leveque.h:25
The Taylor benchmark – right-hand-side and boundary condition.