18 citations · 47 across the 10 of their papers we have counts for
10 papers
Convergence Properties of Newton's Method for Globally Optimal Free Flight Trajectory Optimization
Ralf Borndörfer, Fabian Danecker, Martin Weiser
The algorithmic efficiency of Newton-based methods for Free Flight Trajectory Optimization is heavily influenced by the size of the domain of convergence. We provide numerical evid…
Adaptive Gaussian Process Regression for Efficient Building of Surrogate Models in Inverse Problems
Phillip Semler, Martin Weiser
In a task where many similar inverse problems must be solved, evaluating costly simulations is impractical. Therefore, replacing the model with a surrogate model that can…
Newton's Method for Global Free Flight Trajectory Optimization
Ralf Borndörfer, Fabian Danecker, Martin Weiser
Globally optimal free flight trajectory optimization can be achieved with a combination of discrete and continuous optimization. A key requirement is that Newton's method for conti…
Convergence analysis of BDDC preconditioners for composite DG discretizations of the cardiac cell-by-cell model
Ngoc Mai Monica Huynh, Fatemeh Chegini, Luca Franco Pavarino +2
A Balancing Domain Decomposition by Constraints (BDDC) preconditioner is constructed and analyzed for the solution of composite Discontinuous Galerkin discretizations of reaction-d…
Fast Floating-Point Filters for Robust Predicates
Tinko Bartels, Vissarion Fisikopoulos, Martin Weiser
Geometric predicates are at the core of many algorithms, such as the construction of Delaunay triangulations, mesh processing and spatial relation tests. These algorithms have appl…
Error Bounds for Discrete-Continuous Shortest Path Problems with Application to Free Flight Trajectory Optimization
Ralf Borndörfer, Fabian Danecker, Martin Weiser
Two-stage methods addressing continuous shortest path problems start local minimization from discrete shortest paths in a spatial graph. The convergence of such hybrid methods to g…