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7 papers · 2 filters
Regularization of systems of nonlinear ill-posed equations: II. Applications
M. Haltmeier, R. Kowar, A. Leitao +1
In part I we introduced modified Landweber-Kaczmarz methods and have established a convergence analysis. In the present work we investigate three applications: an inverse problem r…
Regularization of systems of nonlinear ill-posed equations: I. Convergence Analysis
M. Haltmeier, A. Leitao, O. Scherzer
In this article we develop and analyze novel iterative regularization techniques for the solution of systems of nonlinear ill--posed operator equations. The basic idea consists in…
-smooth isogeometric spline spaces over planar multi-patch parameterizations
Mario Kapl, Vito Vitrih
The design of globally -smooth () isogeometric spline spaces over multi-patch geometries is a current and challenging topic of research in the framework of isogeomet…
Walsh functions, scrambled -nets, and negative covariance: applying symbolic computation to quasi-Monte Carlo integration
Jaspar Wiart, Elaine Wong
We investigate base Walsh functions for which the variance of the integral estimator based on a scrambled -net in base is less than or equal to that of the Monte-C…
Space-time finite element discretization of parabolic optimal control problems with energy regularization
Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch +1
We analyze space-time finite element methods for the numerical solution of distributed parabolic optimal control problems with energy regularization in the Bochner space $L^2(0,T;H…
Unstructured space-time finite element methods for optimal control of parabolic equations
Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch +1
This work presents and analyzes space-time finite element methods on fully unstructured simplicial space-time meshes for the numerical solution of parabolic optimal control problem…