Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Henneking, Stefan"'
We present an efficient and scalable algorithm for performing matrix-vector multiplications ("matvecs") for block Toeplitz matrices. Such matrices, which are shift-invariant with respect to their blocks, arise in the context of solving inverse proble
Externí odkaz:
http://arxiv.org/abs/2407.13066
In this article, we present a three-dimensional anisotropic $hp$-mesh refinement strategy for ultraweak discontinuous Petrov--Galerkin (DPG) formulations with optimal test functions. The refinement strategy utilizes the built-in residual-based error
Externí odkaz:
http://arxiv.org/abs/2309.00726
In a time-harmonic setting, we show for heterogeneous acoustic and homogeneous electromagnetic wavesguides stability estimates with the stability constant depending linearly on the length $L$ of the waveguide. These stability estimates are used for t
Externí odkaz:
http://arxiv.org/abs/2307.04521
This paper presents a scalable multigrid preconditioner targeting large-scale systems arising from discontinuous Petrov-Galerkin (DPG) discretizations of high-frequency wave operators. This work is built on previously developed multigrid precondition
Externí odkaz:
http://arxiv.org/abs/2304.01728
Autor:
Henneking, Stefan, Demkowicz, Leszek
User Manual for the hp3D Finite Element Software, available on GitHub at https://github.com/Oden-EAG/hp3d
Externí odkaz:
http://arxiv.org/abs/2207.12211
Publikováno v:
In Computers and Mathematics with Applications 1 August 2024 167:315-327
Autor:
Henneking, Stefan, Demkowicz, Leszek
High-frequency wave propagation has many important applications in acoustics, elastodynamics, and electromagnetics. Unfortunately, the finite element discretization for these problems suffers from significant numerical pollution errors that increase
Externí odkaz:
http://arxiv.org/abs/1912.05716
We present both modeling and computational advancements to a unique three-dimensional discontinuous Petrov-Galerkin finite element model for the simulation of laser amplification in a fiber amplifier. Our model is based on the time-harmonic Maxwell e
Externí odkaz:
http://arxiv.org/abs/1912.01185
Autor:
Henneking, Stefan
In a parallel vertex-centered finite element multigrid solver, segmental refinement can be used to avoid all inter-process communication on the fine grids. While domain decomposition methods generally require coupled subdomain processing for the nume
Externí odkaz:
http://hdl.handle.net/1853/55050
Publikováno v:
Advances in Computational Mathematics; Jun2024, Vol. 50 Issue 3, p1-32, 32p