Heat the olive oil in a large heavy-bottomed pot or Dutch oven over medium-high heat.
Add the cubed beef chuck roast to the pot. Sear for 5 to 7 minutes, stirring occasionally, until the beef is browned on all sides. Remove the beef with a slotted spoon and set aside.
Lower the heat to medium. Add the diced yellow onion, carrots, and celery to the residual fat in the pot. Sauté for 5 minutes until the vegetables begin to soften.
Stir in the minced garlic and cook for 1 minute until fragrant.
Return the browned beef to the pot. Add the dried green split peas, beef broth, water, dried thyme, dried rosemary, bay leaves, kosher salt, and freshly ground black pepper.
Bring the soup to a rolling boil. Once boiling, reduce the heat to low, cover the pot tightly, and simmer for 1.5 to 2 hours. Stir occasionally to prevent the peas from sticking to the bottom. The soup is done when the split peas have broken down into a creamy texture and the beef is very tender.
Remove the pot from the heat. Discard the bay leaves. Taste and adjust seasoning with additional kosher salt and freshly ground black pepper if needed.
Ladle the soup into bowls and garnish with chopped fresh parsley (optional). Serve immediately.