Experts and BHG readers answer.
You could change the site with improved drainage (with an underground French drain) and amended soil. This is a lot of work, though, so if you're looking for an easier solution, work with what you've got. Plant species that actually like those conditions. We ran a Rain Garden a few years ago in Garden Ideas & Outdoor Living magazine and included these plants: Corkscrew rush (Juncus effusus), cardinal flower (Lobelia cardinalis), yellow flag (Iris pseudacorus), weeping willow (Salix babylonica), call lily (Zentedeschia aethiopica), marsh fern (Thelypteris palustris), Obedient plant (Physostegia virginiana), red osier dogwood (Cornus stolifera), northern sea oats (Chasmantheum latifolium), canna, and rose mallow (Hibiscus coccineus). Those should also work for your situation.
Luke Miller, editor
Garden Ideas & Outdoor Living magazine