A very small amount of SiO$_2$ was locally added in sintered BaTiO$_3$ ceramics and then heat-treated at 135$0^{circ}C$. In the region where SiO$_2$ was not added, grain growth occurred very slowly. In the region where a very small amount of SiO$_2$ was added, however, grain growth occurred very actively. After long time annealing at 135$0^{circ}C$, abnormal grains appeared only in the part where SiO$_2$ was added and grew up to 2 cm in size. In the grown abnormal grains or single crystals, (111) double or single twins were not observed. The growth of abnormal grains or single crystals was explained by formation of liquid phase in the region where SiO$_2$ was added. These results showed that centimeter-sized BaTiO$_3$ single crystals without (111) double or single twins could be fabricated by using abnormal grain growth.