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13 papers · 2 filters
Legendre-Gauss-Lobatto grids and associated nested dyadic grids
Kolja Brix, Claudio Canuto, Wolfgang Dahmen
Legendre-Gauss-Lobatto (LGL) grids play a pivotal role in nodal spectral methods for the numerical solution of partial differential equations. They not only provide efficient high-…
Adjoint-Based Error Estimation and Mesh Adaptation for Hybridized Discontinuous Galerkin Methods
Michael Woopen, Georg May, Jochen Schütz
We present a robust and efficient target-based mesh adaptation methodology, building on hybridized discontinuous Galerkin schemes for (nonlinear) convection-diffusion problems, inc…
Asymptotic Preserving time-discretization of optimal control problems for the Goldstein-Taylor model
Giacomo Albi, Michael Herty, Christian Jörres +1
We consider the development of implicit-explicit time integration schemes for optimal control problems governed by the Goldstein-Taylor model. In the diffusive scaling this model i…
Adaptive Near-Optimal Rank Tensor Approximation for High-Dimensional Operator Equations
Markus Bachmayr, Wolfgang Dahmen
We consider a framework for the construction of iterative schemes for operator equations that combine low-rank approximation in tensor formats and adaptive approximation in a basis…
An Eulerian space-time finite element method for diffusion problems on evolving surfaces
Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu
In this paper, we study numerical methods for the solution of partial differential equations on evolving surfaces. The evolving hypersurface in defines a -dimensiona…
Improved Accuracy and Parallelism for MRRR-based Eigensolvers -- A Mixed Precision Approach
Matthias Petschow, Enrique Quintana-Orti, Paolo Bientinesi
The real symmetric tridiagonal eigenproblem is of outstanding importance in numerical computations; it arises frequently as part of eigensolvers for standard and generalized dense…