17 citations · 54 across the 8 of their papers we have counts for
4 papers · 1 filter
Exponential Time Differencing for the Tracer Equations Appearing in Primitive Equation Ocean Models
Sara Calandrini, Konstantin Pieper, Max Gunzburger
The tracer equations are part of the primitive equations used in ocean modeling and describe the transport of tracers, such as temperature, salinity or chemicals, in the ocean. Dep…
A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems
Ira Neitzel, Konstantin Pieper, Boris Vexler +1
We present a systematic approach to the optimal placement of finitely many sensors in order to infer a finite-dimensional parameter from point evaluations of the solution of an ass…
Linear convergence of accelerated conditional gradient algorithms in spaces of measures
Konstantin Pieper, Daniel Walter
A class of generalized conditional gradient algorithms for the solution of optimization problem in spaces of Radon measures is presented. The method iteratively inserts additional…
Exponential time differencing for mimetic multilayer ocean models
Konstantin Pieper, K. Chad Sockwell, Max Gunzburger
A framework for exponential time discretization of the multilayer rotating shallow water equations is developed in combination with a mimetic discretization in space. The method is…