You can lookup ECIES which is the Integrated Encryption Scheme used with Elliptic Curve cryptography.

It it's based on DH calculations. This means that it requires a symmetric cipher. Basically you must use a hybrid cryptosystem. So it cannot directly encrypt plaintext as possible in RSA-PKCS#1 v1.5 or OAEP. It also means that it has some overhead (which is largely negated by the small key size, of course).

Basically IES turns any DH problem into an encryption scheme.

You can lookup ECIES which is the Integrated Encryption Scheme used with Elliptic Curve cryptography.

It it's based on DH calculations. This means that it requires a symmetric cipher. Basically you must use a hybrid cryptosystem. So it cannot directly encrypt plaintext as possible in RSA-PKCS#1 v1.5 or OAEP. It also means that it has some overhead (which is largely negated by the small key size, of course).

Basically IES turns any DH problem into an encryption scheme. You would still need to choose the key derivation function, cipher and mode of encryption. To my knowledge there isn't such a thing as fully standardized IES.