A transducer array for use in tumor-treating fields (TTFields) therapy is particularly suited for use in treating abdominal or thoracic cancers. The transducer array has features that increase its flexibility and adhesion to the patient's skin, including a branching configuration and a correspondingly branching top covering adhesive-backed layer. Additionally, a skin-level adhesive layer is provided beneath the flex circuit to which the electrode elements are attached, to help ensure thorough, lasting adhesion of the transducer array to the patient's skin over the course of treatment.