Ejemplo n.º 1
0
def get_correctors_from_file_hdf5(coefs_filename='coefs.h5', dump_names=None):

    if dump_names == None:
        coefs = Coefficients.from_file_hdf5(coefs_filename)
        if hasattr(coefs, 'save_names'):
            dump_names = coefs.save_names
        else:
            raise ValueError(' "filenames" coefficient must be used!')

    out = {}

    for key, val in six.iteritems(dump_names):
        if type(val) in [tuple, list]:
            h5name, corr_name = val
        else:
            h5name, corr_name = val, op.split(val)[-1]

        io = HDF5MeshIO(h5name + '.h5')
        data = io.read_data(0)
        dkeys = list(data.keys())
        corr = {}
        for dk in dkeys:
            corr[dk] = data[dk].data.reshape(data[dk].shape)

        out[corr_name] = corr

    return out
Ejemplo n.º 2
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def get_homog_coefs_linear(ts, coor, mode,
                           micro_filename=None, regenerate=False,
                           coefs_filename=None, define_args=None):

    oprefix = output.prefix
    output.prefix = 'micro:'

    required, other = get_standard_keywords()
    required.remove( 'equations' )

    conf = ProblemConf.from_file(micro_filename, required, other,
                                 verbose=False, define_args=define_args)
    if coefs_filename is None:
        coefs_filename = conf.options.get('coefs_filename', 'coefs')
        coefs_filename = op.join(conf.options.get('output_dir', '.'),
                                 coefs_filename) + '.h5'

    if not regenerate:
        if op.exists( coefs_filename ):
            if not pt.is_hdf5_file( coefs_filename ):
                regenerate = True
        else:
            regenerate = True

    if regenerate:
        options = Struct( output_filename_trunk = None )

        app = HomogenizationApp( conf, options, 'micro:' )
        coefs = app()
        if type(coefs) is tuple:
            coefs = coefs[0]

        coefs.to_file_hdf5( coefs_filename )
    else:
        coefs = Coefficients.from_file_hdf5( coefs_filename )

    out = {}
    if mode == None:
        for key, val in six.iteritems(coefs.__dict__):
            out[key] = val

    elif mode == 'qp':
        for key, val in six.iteritems(coefs.__dict__):
            if type( val ) == nm.ndarray or type(val) == nm.float64:
                out[key] = nm.tile( val, (coor.shape[0], 1, 1) )
            elif type(val) == dict:
                for key2, val2 in six.iteritems(val):
                    if type(val2) == nm.ndarray or type(val2) == nm.float64:
                        out[key+'_'+key2] = \
                                          nm.tile(val2, (coor.shape[0], 1, 1))

    else:
        out = None

    output.prefix = oprefix

    return out
Ejemplo n.º 3
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def load_coefs( filename ):
    coefs = Coefficients.from_file_hdf5( filename )

    try:
        options = import_file( coefs.filename ).options
        plot_info = options['plot_info']
        tex_names = options['tex_names']
    except:
        plot_info = coefs.plot_info
        tex_names = coefs.tex_names
        
    return coefs, plot_info, tex_names
Ejemplo n.º 4
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def recover_micro_hook(micro_filename,
                       region,
                       macro,
                       naming_scheme='step_iel',
                       recovery_file_tag=''):

    # Create a micro-problem instance.
    required, other = get_standard_keywords()
    required.remove('equations')
    pb = ProblemDefinition.from_conf_file(micro_filename,
                                          required=required,
                                          other=other,
                                          init_equations=False,
                                          init_solvers=False)

    coefs_filename = pb.conf.options.get_default_attr('coefs_filename',
                                                      'coefs')
    output_dir = pb.conf.options.get_default_attr('output_dir', '.')
    coefs_filename = op.join(output_dir, coefs_filename) + '.h5'

    # Coefficients and correctors
    coefs = Coefficients.from_file_hdf5(coefs_filename)
    corrs = get_correctors_from_file(dump_names=coefs.dump_names)

    recovery_hook = get_default_attr(pb.conf.options, 'recovery_hook', None)

    if recovery_hook is not None:
        recovery_hook = pb.conf.get_function(recovery_hook)

        aux = max(pb.domain.shape.n_gr, 2)
        format = get_print_info( aux, fill = '0' )[1] \
            + '_' + get_print_info( pb.domain.mesh.n_el, fill = '0' )[1]

        for ig, ii, iel in region.iter_cells():
            print 'ig: %d, ii: %d, iel: %d' % (ig, ii, iel)

            local_macro = {}
            for k, v in macro.iteritems():
                local_macro[k] = v[ii, 0]

            out = recovery_hook(pb, corrs, local_macro)

            # save data
            suffix = format % (ig, iel)
            micro_name = pb.get_output_name(extra='recovered_'\
                                            + recovery_file_tag + suffix)
            filename = op.join(output_dir, op.basename(micro_name))
            fpv = pb.conf.options.get_default_attr('file_per_var', False)
            pb.save_state(filename, out=out, file_per_var=fpv)
Ejemplo n.º 5
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def recover_micro_hook( micro_filename, region, macro,
                        naming_scheme = 'step_iel',
                        recovery_file_tag='' ):

    # Create a micro-problem instance.
    required, other = get_standard_keywords()
    required.remove( 'equations' )
    pb = ProblemDefinition.from_conf_file(micro_filename,
                                          required=required,
                                          other=other,
                                          init_equations=False,
                                          init_solvers=False)

    coefs_filename = pb.conf.options.get_default_attr('coefs_filename', 'coefs')
    output_dir = pb.conf.options.get_default_attr('output_dir', '.')
    coefs_filename = op.join(output_dir, coefs_filename) + '.h5'

    # Coefficients and correctors
    coefs = Coefficients.from_file_hdf5( coefs_filename )
    corrs = get_correctors_from_file( dump_names = coefs.dump_names ) 

    recovery_hook = get_default_attr( pb.conf.options,
                                      'recovery_hook', None )

    if recovery_hook is not None:
        recovery_hook = getattr( pb.conf.funmod, recovery_hook )

        aux = max(pb.domain.shape.n_gr, 2)
        format = get_print_info( aux, fill = '0' )[1] \
            + '_' + get_print_info( pb.domain.mesh.n_el, fill = '0' )[1]

        for ig, ii, iel in region.iter_cells():
            print 'ig: %d, ii: %d, iel: %d' % (ig, ii, iel)

            local_macro = {}
            for k, v in macro.iteritems():
                local_macro[k] = v[ii,0]

            out = recovery_hook( pb, corrs, local_macro )

            # save data
            suffix = format % (ig, iel)
            micro_name = pb.get_output_name(extra='recovered_'\
                                            + recovery_file_tag + suffix)
            filename = op.join(output_dir, op.basename(micro_name))
            fpv = pb.conf.options.get_default_attr('file_per_var', False)
            pb.save_state(filename, out=out,
                          file_per_var=fpv)
Ejemplo n.º 6
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def load_coefs(filename):
    coefs = Coefficients.from_file_hdf5(filename)

    try:
        options = import_file(coefs.filename).options
    except:
        options = None

    if options is not None:
        plot_info = options["plot_info"]
        tex_names = options["tex_names"]

    else:
        plot_info = coefs.get("plot_info", {})
        tex_names = coefs.get("tex_names", {})

    return coefs, plot_info, tex_names
Ejemplo n.º 7
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def load_coefs(filename):
    coefs = Coefficients.from_file_hdf5(filename)

    try:
        options = import_file(coefs.filename).options
    except:
        options = None

    if options is not None:
        plot_info = options['plot_info']
        tex_names = options['tex_names']

    else:
        plot_info = get_default_attr(coefs, 'plot_info', {})
        tex_names = get_default_attr(coefs, 'tex_names', {})

    return coefs, plot_info, tex_names
Ejemplo n.º 8
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def load_coefs( filename ):
    coefs = Coefficients.from_file_hdf5( filename )

    try:
        options = import_file( coefs.filename ).options
    except:
        options = None

    if options is not None:
        plot_info = options['plot_info']
        tex_names = options['tex_names']

    else:
        plot_info = get_default_attr(coefs, 'plot_info', {})
        tex_names = get_default_attr(coefs, 'tex_names', {})

    return coefs, plot_info, tex_names
Ejemplo n.º 9
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def get_correctors_from_file_hdf5(coefs_filename='coefs.h5', dump_names=None):

    if dump_names == None:
        coefs = Coefficients.from_file_hdf5(coefs_filename)
        if hasattr(coefs, 'save_names'):
            dump_names = coefs.save_names
        else:
            raise ValueError(' "filenames" coefficient must be used!')

    out = {}

    for key, val in six.iteritems(dump_names):
        if type(val) in [tuple, list]:
            h5name, corr_name = val
        else:
            h5name, corr_name = val, op.split(val)[-1]

        io = HDF5MeshIO(h5name + '.h5')
        try:
            ts = io.read_time_stepper()
        except ValueError:
            ts = None

        if ts is None:
            data = io.read_data(0)
            dkeys = list(data.keys())
            corr = {}
            for dk in dkeys:
                corr[dk] = data[dk].data.reshape(data[dk].shape)

            out[corr_name] = corr
        else:
            n_step = ts[3]
            out[corr_name] = []
            for step in range(n_step):
                data = io.read_data(step)
                dkeys = list(data.keys())
                corr = {}
                for dk in dkeys:
                    corr[dk] = data[dk].data.reshape(data[dk].shape)

                out[corr_name].append(corr)
            out[corr_name + '_ts'] = ts

    return out
Ejemplo n.º 10
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def get_homog_coefs_linear( ts, coor, mode, region, ig,
                            micro_filename = None, regenerate = False ):

    oprefix = output.prefix
    output.prefix = 'micro:'
    
    required, other = get_standard_keywords()
    required.remove( 'equations' )
        
    conf = ProblemConf.from_file(micro_filename, required, other, verbose=False)

    coefs_filename = conf.options.get_default_attr('coefs_filename', 'coefs.h5')

    if not regenerate:
        if op.exists( coefs_filename ):
            if not pt.isHDF5File( coefs_filename ):
                regenerate = True
        else:
            regenerate = True

    if regenerate:
        options = Struct( output_filename_trunk = None )
            
        app = HomogenizationApp( conf, options, 'micro:' )
        coefs = app()

        coefs.to_file_hdf5( coefs_filename )
    else:
        coefs = Coefficients.from_file_hdf5( coefs_filename )

    out = {}
    if mode == None:
        for key, val in coefs.__dict__.iteritems():
            out[key] = val 
    elif mode == 'qp':
        for key, val in coefs.__dict__.iteritems():
            if type( val ) == nm.ndarray:
                out[key] = nm.tile( val, (coor.shape[0], 1, 1) )
    else:
        out = None

    output.prefix = oprefix

    return out
Ejemplo n.º 11
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def get_correctors_from_file(coefs_filename='coefs.h5', dump_names=None):

    if dump_names == None:
        coefs = Coefficients.from_file_hdf5(coefs_filename)
        if hasattr(coefs, 'dump_names'):
            dump_names = coefs.dump_names
        else:
            raise ValueError(' "filenames" coefficient must be used!')

    out = {}

    for key, val in dump_names.iteritems():
        corr_name = op.split(val)[-1]
        io = HDF5MeshIO(val + '.h5')
        data = io.read_data(0)
        dkeys = data.keys()
        corr = {}
        for dk in dkeys:
            corr[dk] = data[dk].data.reshape(data[dk].shape)

        out[corr_name] = corr

    return out
Ejemplo n.º 12
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def get_correctors_from_file( coefs_filename = 'coefs.h5',
                              dump_names = None ):

    if dump_names == None:
        coefs = Coefficients.from_file_hdf5( coefs_filename )
        if hasattr( coefs, 'dump_names' ):
            dump_names = coefs.dump_names
        else:
            raise ValueError( ' "filenames" coefficient must be used!' )

    out = {}

    for key, val in dump_names.iteritems():
        corr_name = op.split( val )[-1]
        io = HDF5MeshIO( val+'.h5' )
        data = io.read_data( 0 )
        dkeys = data.keys()
        corr = {}
        for dk in dkeys:
            corr[dk] = data[dk].data.reshape(data[dk].shape)

        out[corr_name] = corr

    return out
Ejemplo n.º 13
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def recover_micro_hook_eps(micro_filename, region,
                           eval_var, nodal_values, const_values, eps0,
                           recovery_file_tag='',
                           define_args=None, verbose=False):
    # Create a micro-problem instance.
    required, other = get_standard_keywords()
    required.remove('equations')
    conf = ProblemConf.from_file(micro_filename, required, other,
                                 verbose=False, define_args=define_args)

    coefs_filename = conf.options.get('coefs_filename', 'coefs')
    output_dir = conf.options.get('output_dir', '.')
    coefs_filename = op.join(output_dir, coefs_filename) + '.h5'

    # Coefficients and correctors
    coefs = Coefficients.from_file_hdf5(coefs_filename)
    corrs = get_correctors_from_file(dump_names=coefs.dump_names)

    recovery_hook = conf.options.get('recovery_hook', None)

    if recovery_hook is not None:
        recovery_hook = conf.get_function(recovery_hook)
        pb = Problem.from_conf(conf, init_equations=False, init_solvers=False)

        # Get tiling of a given region
        rcoors = region.domain.mesh.coors[region.get_entities(0), :]
        rcmin = nm.min(rcoors, axis=0)
        rcmax = nm.max(rcoors, axis=0)
        nn = nm.round((rcmax - rcmin) / eps0)
        if nm.prod(nn) == 0:
            output('inconsistency in recovery region and microstructure size!')
            return

        cs = []
        for ii, n in enumerate(nn):
            cs.append(nm.arange(n) * eps0 + rcmin[ii])

        x0 = nm.empty((int(nm.prod(nn)), nn.shape[0]), dtype=nm.float64)
        for ii, icoor in enumerate(nm.meshgrid(*cs, indexing='ij')):
            x0[:, ii] = icoor.flatten()

        mesh = pb.domain.mesh
        coors, conn, outs, ndoffset = [], [], [], 0
        # Recover region
        mic_coors = (mesh.coors - mesh.get_bounding_box()[0, :]) * eps0
        evfield = eval_var.field

        output('recovering microsctructures...')
        tt = time.clock()
        output_fun = output.output_function
        output_level = output.level

        for ii, c0 in enumerate(x0):
            local_macro = {'eps0': eps0}
            local_coors = mic_coors + c0
            # Inside recovery region?
            v = nm.ones((evfield.region.entities[0].shape[0], 1))
            v[evfield.vertex_remap[region.entities[0]]] = 0
            no = nm.sum(v)
            aux = evfield.evaluate_at(local_coors, v)
            if (nm.sum(aux) / no) > 1e-3:
                continue

            output.level = output_level
            output('micro: %d' % ii)

            for k, v in six.iteritems(nodal_values):
                local_macro[k] = evfield.evaluate_at(local_coors, v)
            for k, v in six.iteritems(const_values):
                local_macro[k] = v

            output.set_output(quiet=not(verbose))
            outs.append(recovery_hook(pb, corrs, local_macro))
            output.output_function = output_fun
            coors.append(local_coors)
            conn.append(mesh.get_conn(mesh.descs[0]) + ndoffset)
            ndoffset += mesh.n_nod

    output('...done in %.2f s' % (time.clock() - tt))

    # Collect output variables
    outvars = {}
    for k, v in six.iteritems(outs[0]):
        if v.var_name in outvars:
            outvars[v.var_name].append(k)
        else:
            outvars[v.var_name] = [k]

    # Split output by variables/regions
    pvs = pb.create_variables(outvars.keys())
    outregs = {k: pvs[k].field.region.get_entities(-1) for k in outvars.keys()}
    nrve = len(coors)
    coors = nm.vstack(coors)
    ngroups = nm.tile(mesh.cmesh.vertex_groups.squeeze(), (nrve,))
    conn = nm.vstack(conn)
    cgroups = nm.tile(mesh.cmesh.cell_groups.squeeze(), (nrve,))

    # Get region mesh and data
    for k, cidxs in six.iteritems(outregs):
        gcidxs = nm.hstack([cidxs + mesh.n_el * ii for ii in range(nrve)])
        rconn = conn[gcidxs]
        remap = -nm.ones((coors.shape[0],), dtype=nm.int32)
        remap[rconn] = 1
        vidxs = nm.where(remap > 0)[0]
        remap[vidxs] = nm.arange(len(vidxs))
        rconn = remap[rconn]
        rcoors = coors[vidxs, :]

        out = {}
        for ifield in outvars[k]:
            data = [outs[ii][ifield].data for ii in range(nrve)]
            out[ifield] = Struct(name='output_data',
                                 mode=outs[0][ifield].mode,
                                 dofs=None,
                                 var_name=k,
                                 data=nm.vstack(data))

        micro_name = pb.get_output_name(extra='recovered%s_%s'
                                        % (recovery_file_tag, k))
        filename = op.join(output_dir, op.basename(micro_name))
        mesh_out = Mesh.from_data('recovery_%s' % k, rcoors, ngroups[vidxs],
                                  [rconn], [cgroups[gcidxs]], [mesh.descs[0]])
        mesh_out.write(filename, io='auto', out=out)
Ejemplo n.º 14
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def recover_micro_hook(micro_filename, region, macro,
                       naming_scheme='step_iel',
                       recovery_file_tag='',
                       define_args=None, verbose=False):
    # Create a micro-problem instance.
    required, other = get_standard_keywords()
    required.remove('equations')
    conf = ProblemConf.from_file(micro_filename, required, other,
                                 verbose=False, define_args=define_args)

    coefs_filename = conf.options.get('coefs_filename', 'coefs')
    output_dir = conf.options.get('output_dir', '.')
    coefs_filename = op.join(output_dir, coefs_filename) + '.h5'

    # Coefficients and correctors
    coefs = Coefficients.from_file_hdf5(coefs_filename)
    corrs = get_correctors_from_file(dump_names=coefs.dump_names)

    recovery_hook = conf.options.get('recovery_hook', None)

    if recovery_hook is not None:
        recovery_hook = conf.get_function(recovery_hook)
        pb = Problem.from_conf(conf, init_equations=False, init_solvers=False)

        format = get_print_info(pb.domain.mesh.n_el, fill='0')[1]

        output('recovering microsctructures...')
        tt = time.clock()
        output_fun = output.output_function
        output_level = output.level
        for ii, iel in enumerate(region.cells):
            output.level = output_level
            output('micro: %d (el=%d)' % (ii, iel))

            local_macro = {}
            for k, v in six.iteritems(macro):
                local_macro[k] = v[ii, 0]

            output.set_output(quiet=not(verbose))
            out = recovery_hook(pb, corrs, local_macro)
            output.output_function = output_fun

            if ii == 0:
                new_keys = []
                new_data = {}
                new_idxs = []
                for k in six.iterkeys(local_macro):
                    if k not in macro:
                        new_keys.append(k)
                        new_data[k] = []

            new_idxs.append(ii)
            for jj in new_keys:
                new_data[jj].append(local_macro[jj])

            # save data
            if out is not None:
                suffix = format % iel
                micro_name = pb.get_output_name(extra='recovered_'
                                                + recovery_file_tag + suffix)
                filename = op.join(output_dir, op.basename(micro_name))
                fpv = pb.conf.options.get('file_per_var', False)
                pb.save_state(filename, out=out,
                              file_per_var=fpv)

        output('...done in %.2f s' % (time.clock() - tt))

        for jj in new_keys:
            lout = new_data[jj]
            macro[jj] = nm.zeros((nm.max(new_idxs) + 1, 1) + lout[0].shape,
                                 dtype=lout[0].dtype)
            out = macro[jj]
            for kk, ii in enumerate(new_idxs):
                out[ii, 0] = lout[kk]
Ejemplo n.º 15
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def recover_micro_hook( micro_filename, region, macro,
                        naming_scheme = 'step_iel',
                        recovery_file_tag='' ):

    # Create a micro-problem instance.
    required, other = get_standard_keywords()
    required.remove( 'equations' )
    pb = Problem.from_conf_file(micro_filename, required=required, other=other,
                                init_equations=False, init_solvers=False)

    coefs_filename = pb.conf.options.get('coefs_filename', 'coefs')
    output_dir = pb.conf.options.get('output_dir', '.')
    coefs_filename = op.join(output_dir, coefs_filename) + '.h5'

    # Coefficients and correctors
    coefs = Coefficients.from_file_hdf5( coefs_filename )
    corrs = get_correctors_from_file( dump_names = coefs.dump_names ) 

    recovery_hook = pb.conf.options.get('recovery_hook', None)

    if recovery_hook is not None:
        recovery_hook = pb.conf.get_function(recovery_hook)

        aux = max(pb.domain.shape.n_gr, 2)
        format = get_print_info( aux, fill = '0' )[1] \
            + '_' + get_print_info( pb.domain.mesh.n_el, fill = '0' )[1]

        for ig, ii, iel in region.iter_cells():
            print 'ig: %d, ii: %d, iel: %d' % (ig, ii, iel)

            local_macro = {}
            for k, v in macro.iteritems():
                local_macro[k] = v[ii,0]

            out = recovery_hook( pb, corrs, local_macro )

            if ii == 0:
                new_keys = []
                new_data = {}
                new_idxs = []
                for k in local_macro.iterkeys():
                    if k not in macro:
                        new_keys.append(k)
                        new_data[k] = []

            new_idxs.append(ii)
            for jj in new_keys:
                new_data[jj].append(local_macro[jj])

            # save data
            if out is not None:
                suffix = format % (ig, iel)
                micro_name = pb.get_output_name(extra='recovered_'\
                                                + recovery_file_tag + suffix)
                filename = op.join(output_dir, op.basename(micro_name))
                fpv = pb.conf.options.get('file_per_var', False)
                pb.save_state(filename, out=out,
                              file_per_var=fpv)

        for jj in new_keys:
            lout = new_data[jj]
            macro[jj] = nm.zeros((nm.max(new_idxs) + 1,1) + lout[0].shape,
                                 dtype=lout[0].dtype)
            out = macro[jj]
            for kk, ii in enumerate(new_idxs):
                out[ii,0] = lout[kk]
Ejemplo n.º 16
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def recover_micro_hook_eps(micro_filename, region,
                           eval_var, nodal_values, const_values, eps0,
                           recovery_file_tag='',
                           define_args=None):
    # Create a micro-problem instance.
    required, other = get_standard_keywords()
    required.remove('equations')
    conf = ProblemConf.from_file(micro_filename, required, other,
                                 verbose=False, define_args=define_args)

    coefs_filename = conf.options.get('coefs_filename', 'coefs')
    output_dir = conf.options.get('output_dir', '.')
    coefs_filename = op.join(output_dir, coefs_filename) + '.h5'

    # Coefficients and correctors
    coefs = Coefficients.from_file_hdf5(coefs_filename)
    corrs = get_correctors_from_file(dump_names=coefs.dump_names)

    recovery_hook = conf.options.get('recovery_hook', None)

    if recovery_hook is not None:
        recovery_hook = conf.get_function(recovery_hook)
        pb = Problem.from_conf(conf, init_equations=False, init_solvers=False)

        # Get tiling of a given region
        rcoors = region.domain.mesh.coors[region.get_entities(0), :]
        rcmin = nm.min(rcoors, axis=0)
        rcmax = nm.max(rcoors, axis=0)
        nn = nm.round((rcmax - rcmin) / eps0)
        if nm.prod(nn) == 0:
            output('inconsistency in recovery region and microstructure size!')
            return

        cs = []
        for ii, n in enumerate(nn):
            cs.append(nm.arange(n) * eps0 + rcmin[ii])

        x0 = nm.empty((int(nm.prod(nn)), nn.shape[0]), dtype=nm.float64)
        for ii, icoor in enumerate(nm.meshgrid(*cs, indexing='ij')):
            x0[:, ii] = icoor.flatten()

        mesh = pb.domain.mesh
        coors, conn, outs, ndoffset = [], [], [], 0
        # Recover region
        for ii, c0 in enumerate(x0):
            local_macro = {'eps0': eps0}
            local_coors = pb.domain.mesh.coors * eps0 + c0
            # Inside recovery region?
            v = nm.ones((eval_var.field.region.entities[0].shape[0], 1))
            v[region.entities[0]] = 0
            no = nm.sum(v)
            aux = eval_var.field.evaluate_at(local_coors, v)
            if (nm.sum(aux) / no) > 1e-3:
                continue

            output('ii: %d' % ii)

            for k, v in six.iteritems(nodal_values):
                local_macro[k] = eval_var.field.evaluate_at(local_coors, v)
            for k, v in six.iteritems(const_values):
                local_macro[k] = v

            outs.append(recovery_hook(pb, corrs, local_macro))
            coors.append(local_coors)
            conn.append(mesh.get_conn(mesh.descs[0]) + ndoffset)
            ndoffset += mesh.n_nod

    # Collect output variables
    outvars = {}
    for k, v in six.iteritems(outs[0]):
        if v.var_name in outvars:
            outvars[v.var_name].append(k)
        else:
            outvars[v.var_name] = [k]

    # Split output by variables/regions
    pvs = pb.create_variables(outvars.keys())
    outregs = {k: pvs[k].field.region.get_entities(-1) for k in outvars.keys()}
    nrve = len(coors)
    coors = nm.vstack(coors)
    ngroups = nm.tile(mesh.cmesh.vertex_groups.squeeze(), (nrve,))
    conn = nm.vstack(conn)
    cgroups = nm.tile(mesh.cmesh.cell_groups.squeeze(), (nrve,))

    # Get region mesh and data
    for k, cidxs in six.iteritems(outregs):
        gcidxs = nm.hstack([cidxs + mesh.n_el * ii for ii in range(nrve)])
        rconn = conn[gcidxs]
        remap = -nm.ones((coors.shape[0],), dtype=nm.int32)
        remap[rconn] = 1
        vidxs = nm.where(remap > 0)[0]
        remap[vidxs] = nm.arange(len(vidxs))
        rconn = remap[rconn]
        rcoors = coors[vidxs, :]

        out = {}
        for ifield in outvars[k]:
            data = [outs[ii][ifield].data for ii in range(nrve)]
            out[ifield] = Struct(name='output_data',
                                 mode=outs[0][ifield].mode,
                                 dofs=None,
                                 var_name=k,
                                 data=nm.vstack(data))

        micro_name = pb.get_output_name(extra='recovered%s_%s'
                                        % (recovery_file_tag, k))
        filename = op.join(output_dir, op.basename(micro_name))
        mesh_out = Mesh.from_data('recovery_%s' % k, rcoors, ngroups[vidxs],
                                  [rconn], [cgroups[gcidxs]], [mesh.descs[0]])
        mesh_out.write(filename, io='auto', out=out)