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Multilevel QMC with Product Weights for Affine-Parametric, Elliptic PDEs
(2016)Research reports / Seminar for Applied MathematicsReport -
Electromagnetic Wave Scattering by Random Surfaces: Shape Holomorphy
(2016)Research reports / Seminar for Applied MathematicsReport -
Shape Holomorphy of the stationary Navier-Stokes Equations
(2016)Research reports / Seminar for Applied MathematicsReport -
QMC integration for lognormal-parametric, elliptic PDEs: local supports imply product weights.
(2016)Research reports / Seminar for Applied MathematicsReport -
Multilevel higher order Quasi-Monte Carlo Bayesian Estimation
(2016)Research reports / Seminar for Applied MathematicsReport -
Adaptive anisotropic Petrov-Galerkin methods for first order transport equations
(2016)SAM Research ReportThis paper builds on recent developments of adaptive methods for linear transport equations based on certain stable variational formulations of Petrov-Galerkin type. The key issues can be summarized as follows. The variational formulations allow us to employ meshes with cells of arbitrary aspect ratios. We develop a refinement scheme generating highly anisotropic partitions that is inspired by shearlet systems. We establish approximation ...Report -
Quasi-Monte Carlo integration for affine-parametric, elliptic PDEs: local supports imply product weights
(2016)Research reports / Seminar for Applied MathematicsReport -
Exponential Convergence of hp-FEM for Elliptic Problems in Polyhedra: Mixed Boundary Conditions and Anisotropic Polynomial Degrees
(2016)Research reports / Seminar for Applied MathematicsReport -
Numerical Analysis of Lognormal Diffusions on the Sphere
(2016)Research reports / Seminar for Applied MathematicsReport -
Higher order Quasi-Monte Carlo integration for Bayesian Estimation
(2016)Research reports / Seminar for Applied MathematicsReport