The present invention is a fixed abrasive article for grinding or polishing the surface of a glass workpiece. The abrasive article for grinding glass has abrasive composites containing agglomerates having diamond particles, and optionally other abrasive particles. The abrasive composites are integrally molded to a backing. The abrasive articles, when used to grind glass, provides a high stock removal rate but provides a smooth surface finish. Lubricant can be used to improve the grinding characteristics of the abrasive article.