1. Date of download: 6/9/2016 Copyright © ASME. All rights reserved. From: Adjoint-Based Sensitivity Analysis and Error Correction Methods Applied to Solid Oxide Fuel Cells J. Fuel Cell Sci. Technol. 2009;6(2):021010-021010-10. doi:10.1115/1.3005579 Solid oxide fuel cell components Figure Legend:

2. Date of download: 6/9/2016 Copyright © ASME. All rights reserved. From: Adjoint-Based Sensitivity Analysis and Error Correction Methods Applied to Solid Oxide Fuel Cells J. Fuel Cell Sci. Technol. 2009;6(2):021010-021010-10. doi:10.1115/1.3005579 Computational domain and boundary conditions Figure Legend:

3. Date of download: 6/9/2016 Copyright © ASME. All rights reserved. From: Adjoint-Based Sensitivity Analysis and Error Correction Methods Applied to Solid Oxide Fuel Cells J. Fuel Cell Sci. Technol. 2009;6(2):021010-021010-10. doi:10.1115/1.3005579 Hydrogen mole fraction obtained using original design variables (Table ) Figure Legend:

4. Date of download: 6/9/2016 Copyright © ASME. All rights reserved. From: Adjoint-Based Sensitivity Analysis and Error Correction Methods Applied to Solid Oxide Fuel Cells J. Fuel Cell Sci. Technol. 2009;6(2):021010-021010-10. doi:10.1115/1.3005579 Hydrogen mole fraction obtained using optimized design variables for Cost-1 (Table ) Figure Legend:

5. Date of download: 6/9/2016 Copyright © ASME. All rights reserved. From: Adjoint-Based Sensitivity Analysis and Error Correction Methods Applied to Solid Oxide Fuel Cells J. Fuel Cell Sci. Technol. 2009;6(2):021010-021010-10. doi:10.1115/1.3005579 Hydrogen mole fraction obtained using optimized design variables for Cost-2 (Table ) Figure Legend:

6. Date of download: 6/9/2016 Copyright © ASME. All rights reserved. From: Adjoint-Based Sensitivity Analysis and Error Correction Methods Applied to Solid Oxide Fuel Cells J. Fuel Cell Sci. Technol. 2009;6(2):021010-021010-10. doi:10.1115/1.3005579 Temperature contours obtained using original design variables (Table ) Figure Legend:

7. Date of download: 6/9/2016 Copyright © ASME. All rights reserved. From: Adjoint-Based Sensitivity Analysis and Error Correction Methods Applied to Solid Oxide Fuel Cells J. Fuel Cell Sci. Technol. 2009;6(2):021010-021010-10. doi:10.1115/1.3005579 Temperature contours obtained using optimized design variables for Cost-3 (Table ) Figure Legend:

8. Date of download: 6/9/2016 Copyright © ASME. All rights reserved. From: Adjoint-Based Sensitivity Analysis and Error Correction Methods Applied to Solid Oxide Fuel Cells J. Fuel Cell Sci. Technol. 2009;6(2):021010-021010-10. doi:10.1115/1.3005579 Error estimation performed for a cost function of percentage methane utilization Figure Legend: