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math.NA2021
Towards coercive boundary element methods for the wave equation
Olaf Steinbach, Carolina Urzúa-Torres, Marco Zank
In this note, we discuss the ellipticity of the single layer boundary integral operator for the wave equation in one space dimension. This result not only generalizes the well-know…
math.NA2021
Full operator preconditioning and the accuracy of solving linear systems
Stephan Mohr, Yuji Nakatsukasa, Carolina Urzúa-Torres
Unless special conditions apply, the attempt to solve ill-conditioned systems of linear equations with standard numerical methods leads to uncontrollably high numerical error. Ofte…