A prosthetic heart valve may include a valve portion, a tether connected to the valve portion, and an anchor for connecting the tether to the wall of the heart. The anchor may include a flexible first disc biased toward a first shape that is convex in a first direction and a neck extending from the first disc in a second direction opposite the first direction. The neck has a first end connected to the first disc and a second end. The anchor may further include a flexible second disc connected to the second end of the neck and biased toward a second shape that is convex in the first direction. When deployed, the first and second discs sandwich the wall of the heart.