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20092020
most citedDiverse anisotropy of phonon transport in two-dimensional IV-VI compounds: A comparative study

285 citations

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5 papers · 1 filter

math.NA2017★ 47 cited

An isogeometric finite element formulation for phase transitions on deforming surfaces

Christopher Zimmermann, Deepesh Toshniwal, Chad M. Landis +3

This paper presents a general theory and isogeometric finite element implementation for studying mass conserving phase transitions on deforming surfaces. The mathematical problem i…

math.NA2015★ 1 cited

C1-continuous space-time discretization based on Hamilton's law of varying action

Janine C. Mergel, Roger A. Sauer, Sina Ober-Blöbaum

We develop a class of C1-continuous time integration methods that are applicable to conservative problems in elastodynamics. These methods are based on Hamilton's law of varying ac…

math.NA2013★ 40 cited

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…

math.NA2012

Dissecting the FEAST algorithm for generalized eigenproblems

Lukas Krämer, Edoardo Di Napoli, Martin Galgon +2

We analyze the FEAST method for computing selected eigenvalues and eigenvectors of large sparse matrix pencils. After establishing the close connection between FEAST and the well-k…

math.NA2009

An Example of Symmetry Exploitation for Energy-related Eigencomputations

Matthias Petschow, Edoardo Di Napoli, Paolo Bientinesi

One of the most used approaches in simulating materials is the tight-binding approximation. When using this method in a material simulation, it is necessary to compute the eigenval…