The following companies are subsidiares of ANSYS: 2011767 Ontario Inc., 3DSIM, 3DSIM LLC, ANSYS Belgium S.A., ANSYS Canada Limited, ANSYS France SAS, ANSYS Germany GmbH, ANSYS Hong Kong Ltd., ANSYS Iberia S.L., ANSYS Italia, ANSYS Japan K.K., ANSYS Korea LLC, ANSYS Luxembourg Holding Company S.à.r.l., ANSYS Luxembourg S.à.r.l., ANSYS OOO, ANSYS Singapore Pte. Ltd., ANSYS Software Ltd., ANSYS Software Private Limited, ANSYS Sweden AB, ANSYS Switzerland GmbH, ANSYS UK Limited, ANSYS medini Technologies AG, ANSYS-Fluent (Shanghai) Engineering Software Trading Co., Analytical Graphics, Apache Design Solutions, Apache Science and Technology (Shanghai) Co. Ltd., CEI GmbH, CEI Software Co., Computational Engineering, Computational Engineering International Inc, Delcross Technologies, DfR Solutions, Esterel Technologies SAS, Fluent China Holdings Limited, Fluent Software (Shanghai) Co., Genesis SAS, Granta Design, Helic, KPIT medini Technologies AG, Livermore Software Technology Corporation, OPTIS CN Limited, OPTIS Europe SAS, OPTIS GmbH, OPTIS Hong Kong Limited, OPTIS Japan K.K., OPTIS Korea Co., OPTIS North America Inc., OPTIS Northern Europe Limited, OPTIS Pristine Limited, OPTIS SAS, OPTIS World SA, Optis World, Profitek, and Taiwan ANSYS Technologies Co..