For an updated publications list, please see my google research profile. There you will also find my theses and proceedings.

Published articles

1. K. Cools, C. Urzúa-Torres: Block diagonal Calderón preconditioning for scattering at multi-screens.
   Paper (open access)
   Preprint

2. S. Mohr, Y. Nakatsukasa, C. Urzúa-Torres: Full operator preconditioning and the accuracy of solving linear systems.
   Paper
   Preprint

3. O. Steinbach, C. Urzúa-Torres, M. Zank: Towards coercive boundary element methods for the wave equation.
   Paper
   Preprint
   
   

4. O. Steinbach, C. Urzúa-Torres: A new approach to space-time boundary integral equations for the wave equation.
   Paper
   Preprint
   
   

5. H. Gimperlein, J. Stocek, C. Urzúa-Torres: Optimal operator preconditioning for pseudodifferential boundary problems.
   Paper
   Preprint (updated)
   
   

6. X. Claeys, L. Giacomel, R. Hiptmair, C. Urzúa-Torres: Quotient-space boundary element methods for scattering at complex screens.
   Paper
   Preprint (updated)
   
   

7. R. Hiptmair, C. Urzúa-Torres: Preconditioning the EFIE on screens.
   Paper
   Preprint
   
   

8. R. Hiptmair, C. Urzúa-Torres: Compact Equivalent Inverse of the Electric Field Integral Operator on Screens.
   Paper (open access)
   Preprint
   
   

9. R. Hiptmair, C. Jerez-Hanckes, C. Urzúa-Torres: Optimal Operator Preconditioning for Galerkin Boundary Element Methods on 3-Dimensional Screens.
   Paper
   Preprint: Combination of SAM Report 2016-09 and SAM Report 2017-13.
   
   

10. R. Hiptmair, C. Jerez-Hanckes, : Closed-Form Inverses of the Weakly Singular and Hypersingular Operators on Disks.
    Paper.
    Preprint.
    
    

11. C. Jerez-Hanckes, S. Nicaise ,C. Urzúa-Torres: Fast Spectral Galerkin Method for Logarithmic Singular Equations on a Segment.
    Paper
    
    

12. R. Hiptmair, C. Jerez-Hanckes, C. Urzúa-Torres: Mesh-independent operator preconditioning for boundary elements on open curves.
    Paper
    Preprint
    
    

Preprints and technical reports

1. D. Hoonhout, R. Löscher, C. Urzúa-Torres: Paving the way to a T-coercive method for the wave equation (2025).
   Preprint

2. R. Hiptmair, C. Urzúa-Torres, A. Wisse: Convergence of Calderón residuals (2025).
   Preprint 

3. D. Hoonhout, C. Urzúa-Torres: Towards stable second-kind boundary integral equations for transient wave problems (2025).
   Preprint

4. D. Hoonhout, R. Löscher, O. Steinbach, C. Urzúa-Torres: Stable least-squares space-time boundary element methods for the wave equation (2023).
   Preprint

5. R.Hiptmair, C. Urzúa-Torres: Dual Mesh Operator Preconditioning On 3D Screens: Low-Order Boundary Element Discretization (2016).
   Technical report