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Python Function.vector()[lDG_dofs]方法代码示例

本文整理汇总了Python中dolfin.Function.vector()[lDG_dofs]方法的典型用法代码示例。如果您正苦于以下问题:Python Function.vector()[lDG_dofs]方法的具体用法?Python Function.vector()[lDG_dofs]怎么用?Python Function.vector()[lDG_dofs]使用的例子?那么恭喜您, 这里精选的方法代码示例或许可以为您提供帮助。您也可以进一步了解该方法所在dolfin.Function的用法示例。


在下文中一共展示了Function.vector()[lDG_dofs]方法的1个代码示例,这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞,您的评价将有助于系统推荐出更棒的Python代码示例。

示例1: _evaluateLocalEstimator

# 需要导入模块: from dolfin import Function [as 别名]
# 或者: from dolfin.Function import vector()[lDG_dofs] [as 别名]

#.........这里部分代码省略.........
        vertex_dof_map = V1.dofmap().vertex_to_dof_map(mesh)
        # vertex_dof_map = vertex_to_dof_map(V1)
        dof_list = vertex_dof_map.tolist()
        # DG0 localisation
        DG0 = FunctionSpace(mesh, 'DG', 0)
        DG0_dofs = dict([(c.index(),DG0.dofmap().cell_dofs(c.index())[0]) for c in cells(mesh)])
        dg0 = TestFunction(DG0)
        # characteristic function of patch
        xi_z = Function(DG0)
        xi_coeffs = np.ndarray(DG0.dim())
        # mesh data
        h = CellSize(mesh)
        n = FacetNormal(mesh)
        cf = CellFunction('size_t', mesh)
        # setup error estimator vector
        eq_est = np.zeros(DG0.dim())

        # setup global equilibrated flux vector
        DG = VectorFunctionSpace(mesh, "DG", degree)
        DG_dofmap = DG.dofmap()

        # define form functions
        tau = TrialFunction(DG)
        v = TestFunction(DG)

        # define global tau
        tau_global = Function(DG)
        tau_global.vector()[:] = 0.0

        # iterate vertices
        for vertex in vertices(mesh):
            # get patch cell indices
            vid = vertex.index()
            patch_cid, FF_inner, FF_boundary = get_vertex_patch(vid, mesh, layers=1)

            # set nodal base function
            phi_coeffs[:] = 0
            phi_coeffs[dof_list.index(vid)] = 1
            phi_z.vector()[:] = phi_coeffs

            # set characteristic function and mark patch
            cf.set_all(0)
            xi_coeffs[:] = 0
            for cid in patch_cid:
                xi_coeffs[DG0_dofs[int(cid)]] = 1
                cf[int(cid)] = 1
            xi_z.vector()[:] = xi_coeffs

            # determine local dofs
            lDG_cell_dofs = dict([(cid, DG_dofmap.cell_dofs(cid)) for cid in patch_cid])
            lDG_dofs = [cd.tolist() for cd in lDG_cell_dofs.values()]
            lDG_dofs = list(iter.chain(*lDG_dofs))

            # print "\nlocal DG subspace has dimension", len(lDG_dofs), "degree", degree, "cells", len(patch_cid), patch_cid
            # print "local DG_cell_dofs", lDG_cell_dofs
            # print "local DG_dofs", lDG_dofs

            # create patch measures
            dx = Measure('dx')[cf]
            dS = Measure('dS')[FF_inner]

            # define forms
            alpha = Constant(1 / epsilon) / h
            a = inner(tau,v) * phi_z * dx(1) + alpha * div(tau) * div(v) * dx(1) + avg(alpha) * jump(tau,n) * jump(v,n) * dS(1)\
                + avg(alpha) * jump(xi_z * tau,n) * jump(v,n) * dS(2)
            L = -alpha * (div(sigma_mu) + f) * div(v) * phi_z * dx(1)\
                - avg(alpha) * jump(sigma_mu,n) * jump(v,n) * avg(phi_z)*dS(1)

    #        print "L2 f + div(sigma)", assemble((f + div(sigma)) * (f + div(sigma)) * dx(0))

            # assemble forms
            lhs = assemble(a, form_compiler_parameters={'quadrature_degree': quadrature_degree})
            rhs = assemble(L, form_compiler_parameters={'quadrature_degree': quadrature_degree})

            # convert DOLFIN representation to scipy sparse arrays
            rows, cols, values = lhs.data()
            lhsA = sps.csr_matrix((values, cols, rows)).tocoo()

            # slice sparse matrix and solve linear problem
            lhsA = coo_submatrix_pull(lhsA, lDG_dofs, lDG_dofs)
            lx = spsolve(lhsA, rhs.array()[lDG_dofs])
            # print ">>> local solution lx", type(lx), lx
            local_tau = Function(DG)
            local_tau.vector()[lDG_dofs] = lx
            # print "div(tau)", assemble(inner(div(local_tau),div(local_tau))*dx(1))

            # add up local fluxes
            tau_global.vector()[lDG_dofs] += lx

        # evaluate estimator
        # maybe TODO: re-define measure dx
        eq_est = assemble( inner(tau_global, tau_global) * dg0 * (dx(0)+dx(1)),\
                           form_compiler_parameters={'quadrature_degree': quadrature_degree})

        # reorder according to cell ids
        eq_est = eq_est[DG0_dofs.values()].array()
        global_est = np.sqrt(np.sum(eq_est))
        # eq_est_global = assemble( inner(tau_global, tau_global) * (dx(0)+dx(1)), form_compiler_parameters={'quadrature_degree': quadrature_degree} )
        # global_est2 = np.sqrt(np.sum(eq_est_global))
        return global_est, FlatVector(np.sqrt(eq_est))#, tau_global
开发者ID:SpuqTeam,项目名称:spuq,代码行数:104,代码来源:equilibration_estimator.py


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