General Terms:
* Elegy: This is a formal, mournful poem lamenting the death of a person, often focusing on their virtues and achievements.
* Dirge: A mournful song or poem, often sung at funerals or memorial services.
* Lament: A poem expressing sorrow or grief, often over a personal loss.
* Threnody: A song or poem of mourning, typically for a deceased person.
* Monologue: A poem delivered by a single speaker, often reflecting on the loss of a loved one.
More Specific Terms:
* Epitaph: A short poem or inscription on a tombstone, often commemorating the deceased.
* Obituary: A written notice of a person's death, often including a brief biography and details about their life.
Ultimately, the term you choose will depend on the specific content and style of the poem.
You can also consider more descriptive phrases to capture the essence of the poem, such as:
* A poem of grief
* A poem of remembrance
* A poem about loss
* A poem to a loved one who has passed