A welding method using embodiments of electrodes (100) with coaxial power feed. The electrode comprises a metal cylinder (105) defining a hollow core (110). The hollow core provides a conduit for delivering core feed materials (150) therebetween via a delivery means (200). The cylinder may be formed of pure metals or extrudable alloys for forming a desired superalloy material composition; while the delivered core feed materials comprise a balance of compositional constituents for forming the desired superalloy material composition. The resulting deposit achieves the desired superalloy composition as a result of at least a combination of the cylinder materials and core feed materials. The electrode may further include a flux coating (120) surrounding the cylinder. The flux material may also contribute to the desired superalloy composition as a result of the weld operation.