Hierarchical Tensor Approximation of Output Quantities of Parameter-Dependent PDEs
Hierarchical Tensor Approximation of Output Quantities of Parameter-Dependent PDEs
Parametric PDEs appear in a large number of applications such as, e.g., uncertainty quantification and optimization. In many cases, one is interested in scalar output quantities induced by the parameter-dependent solution. The output can be interpreted as a tensor living on a high-dimensional parameter space. Our aim is to adaptively …