25 citations · 95 across the 27 of their papers we have counts for
3 papers · 1 filter
Filtered Stochastic Galerkin Methods For Hyperbolic Equations
Jonas Kusch, Ryan G. McClarren, Martin Frank
Uncertainty Quantification for nonlinear hyperbolic problems becomes a challenging task in the vicinity of shocks. Standard intrusive methods lead to oscillatory solutions and can…
Ray Effect Mitigation for the Discrete Ordinates Method through Quadrature Rotation
Thomas Camminady, Martin Frank, Kerstin Küpper +1
Solving the radiation transport equation is a challenging task, due to the high dimensionality of the solution's phase space. The commonly used discrete ordinates (S) method su…
An Approximate Newton Smoothing Method for Shape Optimization
Jonas Kusch, Stephan Schmidt, Nicolas R. Gauger
A novel methodology to efficiently approximate the Hessian for numerical shape optimization is considered. The method enhances operator symbol approximations by including body fitt…