Search Results - "PRAETORIUS, DIRK"

Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations by Feischl, Michael, Gantner, Gregor, Praetorius, Dirk

“…We consider the Galerkin boundary element method (BEM) for weakly-singular integral equations of the first-kind in 2D. We analyze some residual-type…”
Get full text

A three-dimensional spin-diffusion model for micromagnetics by Abert, Claas, Ruggeri, Michele, Bruckner, Florian, Vogler, Christoph, Hrkac, Gino, Praetorius, Dirk, Suess, Dieter

“…We solve a time-dependent three-dimensional spin-diffusion model coupled to the Landau-Lifshitz-Gilbert equation numerically. The presented model is validated…”
Get full text

A self-consistent spin-diffusion model for micromagnetics by Abert, Claas, Ruggeri, Michele, Bruckner, Florian, Vogler, Christoph, Manchon, Aurelien, Praetorius, Dirk, Suess, Dieter

“…We propose a three-dimensional micromagnetic model that dynamically solves the Landau-Lifshitz-Gilbert equation coupled to the full spin-diffusion equation. In…”
Get full text

Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations by Feischl, Michael, Gantner, Gregor, Haberl, Alexander, Praetorius, Dirk

Get full text

Existence of \mathcal{H}-matrix approximants to the inverses of BEM matrices: The simple-layer operator by Faustmann, Markus, Melenk, Jens Markus, Praetorius, Dirk

Get full text

Coupling of dynamical micromagnetism and a stationary spin drift-diffusion equation: A step towards a fully self-consistent spintronics framework by Ruggeri, Michele, Abert, Claas, Hrkac, Gino, Suess, Dieter, Praetorius, Dirk

“…We consider the coupling of the Landau–Lifshitz–Gilbert equation with a quasilinear diffusion equation to describe the interplay of magnetization and spin…”
Get full text

Full-spin-wave-scaled stochastic micromagnetism for mesh-independent simulations of ferromagnetic resonance and reversal by Oezelt, Harald, Qu, Luman, Kovacs, Alexander, Fischbacher, Johann, Gusenbauer, Markus, Beigelbeck, Roman, Praetorius, Dirk, Yano, Masao, Shoji, Tetsuya, Kato, Akira, Chantrell, Roy, Winklhofer, Michael, Zimanyi, Gergely T., Schrefl, Thomas

“…In this paper, we address the problem that standard stochastic Landau-Lifshitz-Gilbert (sLLG) simulations typically produce results that show unphysical…”
Get full text

MooAFEM: An object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs by Innerberger, Michael, Praetorius, Dirk

“…We present an easily accessible, object oriented code (written exclusively in Matlab) for adaptive finite element simulations in 2D. It features various…”
Get full text

Adaptive BEM for elliptic PDE systems, part II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations by Gantner, Gregor, Praetorius, Dirk

“…We formulate and analyze an adaptive algorithm for isogeometric analysis with hierarchical B-splines for weakly-singular boundary integral equations. We prove…”
Get full text

Collocation methods for index 1 DAEs with a singularity of the first kind by KOCH, OTHMAR, MÄRZ, ROSWITHA, PRAETORIUS, DIRK, WEINMÜLLER, EWA

“…singularity of the first kind, apply polynomial collocation to the original DAE system and consider different choices of the collocation points such as…”
Get full text

Optimal adaptivity for the SUPG finite element method by Erath, Christoph, Praetorius, Dirk

“…For convection dominated problems, the streamline upwind Petrov–Galerkin method (SUPG), also named streamline diffusion finite element method (SDFEM), ensures…”
Get full text

Numerical Analysis for a Macroscopic Model in Micromagnetics by Carstensen, Carsten, Dirk Praetorius

“…The macroscopic behavior of stationary micromagnetic phenomena can be modeled by a relaxed version of the Landau-Lifshitz minimization problem. In the limit of…”
Get full text

Adaptive IGAFEM with optimal convergence rates: T-splines by Gantner, Gregor, Praetorius, Dirk

“…•Adaptive FEM for isogeometric analysis (IGAFEM) of elliptic second-order PDEs.•Analysis-suitable T-splines of arbitrary odd degree in 2D and in 3D.•Adaptivity…”
Get full text

Plain convergence of adaptive algorithms without exploiting reliability and efficiency by Gantner, Gregor, Praetorius, Dirk

“…Abstract We consider $h$-adaptive algorithms in the context of the finite element method and the boundary element method. Under quite general assumptions on…”
Get full text

Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems by Bespalov, Alex, Haberl, Alexander, Praetorius, Dirk

“…We prove that for compactly perturbed elliptic problems, where the corresponding bilinear form satisfies a Gårding inequality, adaptive mesh-refinement is…”
Get full text

Adaptive BEM for elliptic PDE systems, part I: abstract framework, for weakly-singular integral equations by Gantner, Gregor, Praetorius, Dirk

“…In the present work, we consider weakly-singular integral equations arising from linear second-order elliptic PDE systems with constant coefficients,…”
Get full text

Plain convergence of goal-oriented adaptive FEM by Helml, Valentin, Innerberger, Michael, Praetorius, Dirk

“…We discuss goal-oriented adaptivity in the frame of conforming finite element methods and plain convergence of the related a posteriori error estimator for…”
Get full text

Adaptive vertex-centered finite volume methods for general second-order linear elliptic partial differential equations by Erath, Christoph, Praetorius, Dirk

Get full text

ADAPTIVE VERTEX-CENTERED FINITE VOLUME METHODS WITH CONVERGENCE RATES by ERATH, CHRISTOPH, PRAETORIUS, DIRK

“…We consider the vertex-centered finite volume method with first-order conforming ansatz functions. The adaptive mesh-refinement is driven by the local…”
Get full text

Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM by Bespalov, Alex, Praetorius, Dirk, Ruggeri, Michele

“…Abstract We analyze an adaptive algorithm for the numerical solution of parametric elliptic partial differential equations in two-dimensional physical domains,…”
Get full text