IA Scholar Query: Asymptotic stability of a dual-scale compact method for approximating highly oscillatory Helmholtz solutions.
https://scholar.archive.org/
Internet Archive Scholar query results feedeninfo@archive.orgWed, 13 Jul 2022 00:00:00 GMTfatcat-scholarhttps://scholar.archive.org/help1440Quantum simulation with an optical kagome lattice
https://scholar.archive.org/work/hxflqab5tvbtlm5qe6tezhxzxm
This thesis reports on the construction and operation of an ultracold atom- based quantum simulator for studying the kagome lattice and the associated flat band. Despite a copious amount of theoretical effort to elucidate the physics of the kagome lattice, experimental kagome physics is still in its infancy. In the case of ultracold atoms, this is mainly due to considerable technical challenges involved in creating an optical kagome lattice, such as the need for active phase stabilization for bichromatic superlattices. We show that we have overcome these challenges and give a thorough account of our machine's technical details. Furthermore, we present calculations and measurements that fully characterise the kagome quantum simulator. Much of the theoretical work on the kagome lattice has focussed on its flat band. Populating flat bands with ultracold atoms has proven to be difficult and it has so far not been possible to prepare flat bands in thermodynamic equilibrium. We show a route towards studying quantum manybody physics in the flat band of the kagome lattice using negative temperatures. In addition we report, for the first time, on the creation of a negative temperature state in a triangular lattice. This thesis additionally serves to collect and consolidate theoretical research that we can directly study with our machine. In particular, we will discuss the properties of bosons in flat bands and their experimental signatures, with the aim of guiding and accelerating the near-term developments and experiments. Finally, we detail our progress towards realizing a quantum gas microscope for the kagome lattice. In this context, we present a new method for super-resolution microscopy of ultracold atoms in optical lattices.Max Melchner Von Dydiowa, Apollo-University Of Cambridge Repository, Ulrich Schneiderwork_hxflqab5tvbtlm5qe6tezhxzxmWed, 13 Jul 2022 00:00:00 GMTExponentially convergent multiscale methods for 2D high frequency heterogeneous Helmholtz equations
https://scholar.archive.org/work/ofhxe6x2szcq3doqpepbh63kce
In this paper, we present a multiscale framework for solving the 2D Helmholtz equation in heterogeneous media without scale separation and in the high frequency regime where the wavenumber k can be large. The main innovation is that our methods achieve a nearly exponential rate of convergence with respect to the computational degrees of freedom, using a coarse grid of mesh size O(1/k) without suffering from the well-known pollution effect. The key idea is a non-overlapped domain decomposition and its associated coarse-fine scale decomposition of the solution space that adapts to the media property and wavenumber; this decomposition is inspired by the multiscale finite element method (MsFEM). We show that the coarse part is of low complexity in the sense that it can be approximated with a nearly exponential rate of convergence via local basis functions, due to the compactness of a restriction operator that maps Helmholtz-harmonic functions to their interpolation residues on edges, while the fine part is local such that it can be computed efficiently using the local information of the right hand side. The combination of the two parts yields the overall nearly exponential rate of convergence of our multiscale method. Our method draws many connections to multiscale methods in the literature, which we will comment in detail. We demonstrate the effectiveness of our methods theoretically and numerically; an exponential rate of convergence is consistently observed and confirmed. In addition, we observe the robustness of our methods regarding the high contrast in the media numerically.Yifan Chen, Thomas Y. Hou, Yixuan Wangwork_ofhxe6x2szcq3doqpepbh63kceThu, 07 Jul 2022 00:00:00 GMTMathematical models of topologically protected transport in twisted bilayer graphene
https://scholar.archive.org/work/72lisutnd5axlpvrtja5zfnv6i
Twisted bilayer graphene gives rise to large moiré patterns that form a triangular network upon mechanical relaxation. If gating is included, each triangular region has gapped electronic Dirac points that behave as bulk topological insulators with topological indices depending on valley index and the type of stacking. Since each triangle has two oppositely charged valleys, they remain topologically trivial. In this work, we address several questions related to the edge currents of this system by analysis and computation of continuum PDE models. Firstly, we derive the bulk invariants corresponding to a single valley, and then apply a bulk-interface correspondence to quantify asymmetric transport along the interface. Secondly, we introduce a valley-coupled continuum model to show how valleys are approximately decoupled in the presence of small perturbations using a multiscale expansion, and how valleys couple for larger defects. Thirdly, we present a method to prove for a large class of continuum (pseudo-)differential models that a quantized asymmetric current is preserved through a junction such as a triangular network vertex. We support all of these arguments with numerical simulations using spectral methods to compute relevant currents and wavepacket propagation.Guillaume Bal, Paul Cazeaux, Daniel Massatt, Solomon Quinnwork_72lisutnd5axlpvrtja5zfnv6iSat, 11 Jun 2022 00:00:00 GMTSome stability and instability issues in the dynamics of highly rotating fluids
https://scholar.archive.org/work/qvws5bvtgvhbhhinyk67qtbjx4
In the present thesis, we are interested in the description of the dynamics of flows on large scales. In this context, the fluids are governed by rotational, weak compressibility and stratification effects, whose importance is measured by adimensional numbers: the Rossby, Mach and Froude numbers. The first part of the thesis is dedicated to the analysis of a 3D multi-scale problem called the full Navier-Stokes-Fourier system where variations in density and temperature are considered and in addition we take into account the Coriolis, centrifugal and gravitational forces. We study, in the framework of weak solutions, the combined incompressible and fast rotation limits in the regime of small Mach, Froude and Rossby numbers and for general ill-prepared initial data. In the case when the Mach number is of higher order than the Rossby number, we prove that the limit dynamics is described by an incompressible Oberbeck-Boussinesq type system. Conversely, when the Mach and Rossby numbers have the same order of magnitude, we show convergence towards a quasi-geostrophic type equation. Following "le fil rouge" of the asymptotic analysis, in the second part of the thesis, we examine the effects of high rotation for the 2D incompressible density-dependent Euler system. Now, the main goal is to perform the singular limit in the fast rotation regime, showing the convergence of the Euler equations to a quasi-homogeneous type system. The proof of convergence of the two primitive problems towards the reduced models is based on a compensated compactness argument. The key point is to use the structure of the underlying system of Poincaré waves in order to identify some compactness properties for suitable quantities. Compared to previous results, our method enables to treat the whole range of parameters in the multi-scale problem, and also to reach and go beyond the critical choice Fr=√(Ma).Gabriele Sbaizwork_qvws5bvtgvhbhhinyk67qtbjx4Tue, 24 May 2022 00:00:00 GMTA study of the interaction of the electromagnetic field with slotted cylindrical structures employing the Method of Regularization
https://scholar.archive.org/work/zkgtyjt5tfgk3ovgjllia66gtu
The research program described in this thesis analyzes the interaction of the electromagnetic field with several classes of open cylindrical structures, by using the semi-analytical Method of Regularization (MoR). The dielectric cylinders considered in this thesis are partially shielded by conformal perfectly electric conducting (PEC) strips, where significant coupling and re-radiation of energy are created by the presence of apertures and sharp edges. The problems studied include the scattering problem of a single cylindrical lens reflector (CLR) illuminated by an obliquely incident plane wave, the scattering problem of a finite array of CLR with different characteristics when illuminated by a normal plane wave, the analysis of the scattering from and penetration through a multi-layered CLR and a multiconductor cylinder, as well as the transmission line problem involving a multi-conductor cable. Each of the problems studied is interesting from both a theoretical point of view and as an idealization of scattering and coupling mechanism in real devices of technological interest. -- When the structures are of moderate or large electrical size, standard numerical approaches to solving these mixed boundary valued problems (MBVP) often encounter difficulties of convergence and accuracy of computed solution. Therefore, the MoR - which transforms the ill-posed nature of the standard formulation of the problem to a well-conditioned second kind Fredholm matrix equation - is well-suited for the class of problems considered here. Numerical algorithms based upon the solution of the matrix equation, after truncation to a finite system of Ntr equations, converge with guaranteed and predictable accuracy, as Ntr -α. Because the computed solutions to these problems are rigorously accurate (in the sense of guaranteed convergence - theoretically and numerically), they provide benchmark solutions to problems of significant complexity against which solutions computed by more general purpose numerical codes (which although of wider ap [...]Kaiser Lockwork_zkgtyjt5tfgk3ovgjllia66gtuMon, 28 Mar 2022 00:00:00 GMTFrom spectral cluster to uniform resolvent estimates on compact manifolds
https://scholar.archive.org/work/gqxiofcauvgypl6zanou3w452i
It is well known that uniform resolvent estimates imply spectral cluster estimates. We show that the converse is also true in some cases. In particular, the universal spectral cluster estimates of Sogge for the Laplace–Beltrami operator on compact Riemannian manifolds without boundary directly imply the uniform Sobolev inequality of Dos Santos Ferreira, Kenig and Salo , without any reference to parametrices. This observation also yields new resolvent estimates for manifolds with boundary or with nonsmooth metrics, based on spectral cluster bounds of Smith–Sogge and Smith, Koch and Tataru , respectively. We also convert the recent spectral cluster bounds of Canzani and Galkowski to improved resolvent bounds. Moreover, we show that the resolvent estimates are stable under perturbations and use this to establish uniform Sobolev and spectral cluster inequalities for Schrödinger operators with singular potentials.Jean-Claude Cueninwork_gqxiofcauvgypl6zanou3w452iThu, 17 Feb 2022 00:00:00 GMTAnalytical and numerical techniques for wave scattering
https://scholar.archive.org/work/azuj4zt3cjg4pbi4tyqqep6kne
In this thesis, we study the mathematical solution of wave scattering problems which describe the behaviour of waves incident on obstacles and are highly relevant to a raft of applications in the aerospace industry. The techniques considered in the present work can be broadly classed into two categories: analytically based methods which use special transforms and functions to provide a near-complete mathematical description of the scattering process, and numerical techniques which select an approximate solution from a general finite-dimensional space of possible candidates. The first part of this thesis addresses an analytical approach to the scattering of acoustic and vortical waves on an infinite periodic arrangement of finite-length flat blades in parallel mean flow. This geometry serves as an unwrapped model of the fan components in turbo-machinery. Our contributions include a novel semi-analytical solution based on the Wiener–Hopf technique that extends previous work by lifting the restriction that adjacent blades overlap, and a comprehensive study of the composition of the outgoing energy flux for acoustic wave scattering on this array of blades. These results provide an insight into the importance of energy conversion between the unsteady vorticity shed from the trailing edges of the cascade blades and the acoustic field. Furthermore, we show that the balance of incoming and outgoing energy fluxes of the unsteady field provides a convenient tool for understanding several interesting scattering symmetries on this geometry. In the second part of the thesis, we focus on numerical techniques based on the boundary integral method which allows us to write the governing equations for zero mean flow in the form of Fredholm integral equations. We study the solution of these integral equations using collocation methods for two-dimensional scatterers with smooth and Lipschitz boundaries. Our contributions are as follows: Firstly, we explore the extent to which least-squares oversampling can improve collocation. We pr [...]Georg Maierhofer, Apollo-University Of Cambridge Repository, Nigel Peake, Arieh Iserleswork_azuj4zt3cjg4pbi4tyqqep6kneWed, 16 Feb 2022 00:00:00 GMTWavenumber-explicit hp-FEM analysis for Maxwell's equations with impedance boundary conditions
https://scholar.archive.org/work/lncoajhrorervlbfdr7moyouh4
The time-harmonic Maxwell equations at high wavenumber k in domains with an analytic boundary and impedance boundary conditions are considered. A wavenumber-explicit stability and regularity theory is developed that decomposes the solution into a part with finite Sobolev regularity that is controlled uniformly in k and an analytic part. Using this regularity, quasi-optimality of the Galerkin discretization based on Nedelec elements of order p on a mesh with mesh size h is shown under the k-explicit scale resolution condition that a) kh/p is sufficient small and b) p/\ln k is bounded from below.Jens M. Melenk, Stefan A. Sauterwork_lncoajhrorervlbfdr7moyouh4Fri, 07 Jan 2022 00:00:00 GMTTransport processes and instabilities induced by electric fields acting on fluidic interfaces
https://scholar.archive.org/work/qdnwh6mpz5clvffz5qkeh2ajqu
Electrohydrodynamics (EHD) describes the area of research, which studies the interactions of fluid motion and electric fields. In liquids with non-negligible conductivity, charged regions are confined to thin layers closest to boundaries, where EHD effects are most pronounced. In the present work, different phenomena that involve the actuation of fluidic interfaces by electric fields are studied. Electro-osmosis describes the fluid flow due to electric fields acting on charged regions close to the interface of a fluidic domain. When a liquid is deposited above a microstructured superhydrophobic surface, additional charges can be brought to the enclosed gas-liquid interface by placing a gate electrode below the surface. In this work, the production of a superhydrophobic surface with both micro- and nano-scales is described. In addition to inducing charges, a gate electrode exerts a force on the gas-liquid interface, pulling it in between the structures. Experimentally, the wetting state stability is characterized using reflection microscopy, revealing a continuous range of wetting states at dual-scale surfaces. By using non-constant electro-osmotic flow, complex height-averaged flow fields can be induced in a Hele-Shaw cell, which is characterized by a small distance between the parallel bounding walls compared to a characteristic lateral length scale. The governing equations for of the flow field are derived, accounting both for stationary and oscillatory electric fields. The electro-osmotic flow field is characterized above a single disc-shaped gate electrode in a microfluidic channel, using particle tracking velocimetry. In addition, using proof-of-principle experiments, the ability to create complex flow patterns is demonstrated. In order to use flow shaping in biochemical applications, a height-averaged transport model for a passive species is derived using a perturbation method, accounting for advection, diffusion and sample dispersion. The effects of sample dispersion are represented by a non-isotropic disp [...]Sebastian Dehework_qdnwh6mpz5clvffz5qkeh2ajquWavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers
https://scholar.archive.org/work/y2jybchnljf4fh7iiyk5tzxhoi
The first part of this paper is devoted to a wavenumber-explicit stability analysis of a planar Helmholtz problem with a perfectly matched layer. We prove that, for a model scattering problem, the H 1 norm of the solution is bounded by the right-hand side, uniformly in the wavenumber k in the high wavenumber regime. The second part proposes two numerical discretizations, namely, a high-order finite element method and a multiscale method based on local subspace correction. We establish a priori error estimates, based on the aforementioned stability result, that permit to properly select the discretization parameters with respect to the wavenumber. Numerical experiments assess the sharpness of our key results.Théophile Chaumont-Frelet, Dietmar Gallistl, Serge Nicaise, Jérôme Tomezykwork_y2jybchnljf4fh7iiyk5tzxhoiCharged particle beam acceleration and strong discharge currents' fields generation by laser - a study on laser-driven ion sources and beam transport suited for application in high-energy-density physics experiments
https://scholar.archive.org/work/yxdbc3uek5gunoxaahu4wvkhqi
This work aims at both, the experimental benchmark of laser-driven ion acceleration from targets in the near-critical density regime and the exploration of laser-driven open-geometry platforms for spatial and spectral ion beam tailoring. Theoretically described mechanisms and dynamics predicted by numerical simulations are compared to novel experimental findings that are supported by new particle in cell simulations and heuristic models. Results comprise (i) demonstration of Helium ion acceleration from ultra-relativistic laser-driven near-critical density gas jet targets employing shock nozzles, (ii) further investigation of the driving mechanisms of charged particle beam lensing platforms in the quasi-static regime driven by ns-laser and in the transient regime driven by sub-ps laser, and (iii) studies of transport and tailoring of laser accelerated particle beams by electromagnetic and magnetic fields. The Helium ion source shows cut-off energies above 55MeV, a regime suitable for isotope production in alpha-therapy. Hence, the destruction of nozzles in the violent experimental environment and the perspective to high-repetition-rate operation underlines the need of mass producible nozzles with automatized nozzle exchange and vacuum systems able to maintain good vacuum levels. Ns-laser driven magnetic lenses show comparable current amplitudes in the spontaneous magnetic fields of the plasma and the consumer loop, which favors the theoretical modeling of the platform as a plasma-diode power source. During the laser drive, space charge effects arise with the arrival of the laser-plasma in vicinity of the magnetic lens, representing a possible threat to efficient lensing of ion beams. A modified target geometry is presented that decreases space charge effects. Short laser-pulse driven solid target discharge gives rise to a surficial pulsed potential dynamics guided by the target geometry. This work shows that electromagnetic discharge pulses emanating the interaction region are followed by a pulse discharge curren [...]Michael Ehretwork_yxdbc3uek5gunoxaahu4wvkhqi30th Annual Computational Neuroscience Meeting: CNS*2021–Meeting Abstracts
https://scholar.archive.org/work/ozw7g43rjjcijn24ospoo65jmy
One of the goals of neuroscience is to understand the computational principles that describe the formation of behaviorally relevant signals in the brain, as well as how these computations are realized within the constraints of biological networks. Currently, most functional models of neural activity are based on firing rates, while the most relevant signals for inter-neuron communication are spikes. Recently, the framework of predictive coding (Sajikumar et al., 2014work_ozw7g43rjjcijn24ospoo65jmyTue, 21 Dec 2021 00:00:00 GMTOn instability mechanisms for inverse problems
https://scholar.archive.org/work/mx4ix7ldr5csxm72jjyonzqnly
In this article we present three robust instability mechanisms for linear and nonlinear inverse problems. All of these are based on strong compression properties (in the sense of singular value or entropy number bounds) which we deduce through either strong global smoothing, only weak global smoothing or microlocal smoothing for the corresponding forward operators, respectively. As applications we for instance present new instability arguments for unique continuation, for the backward heat equation and for linear and nonlinear Calder\'on type problems in general geometries, possibly in the presence of rough coefficients. Our instability mechanisms could also be of interest in the context of control theory, providing estimates on the cost of (approximate) controllability in rather general settings.Herbert Koch, Angkana Rüland, Mikko Salowork_mx4ix7ldr5csxm72jjyonzqnlyThu, 02 Dec 2021 00:00:00 GMTSelected Chapters on Active Galactic Nuclei as Relativistic Systems
https://scholar.archive.org/work/o3xemt52ebfxppz3thuv2htjsi
This volume presents an overview of selected aspects of physical processes occurring in the inner regions of Active Galactic Nuclei (AGN). The observational evidence suggests that strong gravitational fields play a significant role in governing the energy output of AGN and their influence on the surrounding medium, possibly due to the presence of a supermassive black hole. In order to reduce an unnecessary overlap with numerous reviews on the subject of AGN, here we focus on several selected topics.Vladimir Karas, Jiri Svoboda, Michal Zajacekwork_o3xemt52ebfxppz3thuv2htjsiWed, 10 Nov 2021 00:00:00 GMTCoercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains
https://scholar.archive.org/work/drvehshqz5a2teay3t54x7s4qq
It is well known that, with a particular choice of norm, the classical double-layer potential operator D has essential norm <1/2 as an operator on the natural trace space H^1/2(Γ) whenever Γ is the boundary of a bounded Lipschitz domain. This implies, for the standard second-kind boundary integral equations for the interior and exterior Dirichlet and Neumann problems in potential theory, convergence of the Galerkin method in H^1/2(Γ) for any sequence of finite-dimensional subspaces (ℋ_N)_N=1^∞ that is asymptotically dense in H^1/2(Γ). Long-standing open questions are whether the essential norm is also <1/2 for D as an operator on L^2(Γ) for all Lipschitz Γ in 2-d; or whether, for all Lipschitz Γ in 2-d and 3-d, or at least for the smaller class of Lipschitz polyhedra in 3-d, the weaker condition holds that the operators ±1/2I+D are compact perturbations of coercive operators – this a necessary and sufficient condition for the convergence of the Galerkin method for every sequence of subspaces (ℋ_N)_N=1^∞ that is asymptotically dense in L^2(Γ). We settle these open questions negatively. We give examples of 2-d and 3-d Lipschitz domains with Lipschitz constant equal to one for which the essential norm of D is ≥ 1/2, and examples with Lipschitz constant two for which the operators ±1/2I +D are not coercive plus compact. We also give, for every C>0, examples of Lipschitz polyhedra for which the essential norm is ≥ C and for which λ I+D is not a compact perturbation of a coercive operator for any real or complex λ with |λ|≤ C. Finally, we resolve negatively a related open question in the convergence theory for collocation methods.Simon N. Chandler-Wilde, Euan A. Spencework_drvehshqz5a2teay3t54x7s4qqThu, 04 Nov 2021 00:00:00 GMTDiscrete-time quantum walks and gauge theories
https://scholar.archive.org/work/bixpilj7z5akpgcqda4wnrmzo4
A quantum computer, i.e. utilizing the resources of quantum physics, superposition of states and entanglement, could furnish an exponential gain in computing time. A simulation using such resources is called a quantum simulation. The advantage of quantum simulations over classical ones is well established at the theoretical, i.e. software level. Their practical benefit requires their implementation on a quantum hardware. The quantum computer, i.e. the universal one (see below), has not seen the light of day yet, but the efforts in this direction are both growing and diverse. Also, quantum simulation has already been illustrated by numerous experimental proofs of principle, thanks too small-size and specific-task quantum computers or simulators. Quantum walks are particularly-studied quantum-simulation schemes, being elementary bricks to conceive any quantum algorithm, i.e. to achieve so-called universal quantum computation. The present thesis is a step more towards a simulation of quantum field theories based on discrete-time quantum walks (DTQWs). Indeed, it is shown, in certain cases, how DTQWs can simulate, in the continuum, the action of Yang-Mills gauge fields on fermionic matter, and the retroaction of the latter on the gauge-field dynamics. The suggested schemes preserve gauge invariance on the spacetime lattice, i.e. not only in the continuum. In the (1+2)-dimensional Abelian case, consistent lattice equivalents to both Maxwell's equations and the current conservation are suggested. In the (1+1)-dimensional non-Abelian case, a lattice version of the non-Abelian field strength is suggested. Moreover, it is shown how this fermionic matter based on DTQWs can be coupled to relativistic gravitational fields of the continuum, i.e. to curved spacetimes, in 1+2 dimensions.Pablo Arnaultwork_bixpilj7z5akpgcqda4wnrmzo4Sun, 31 Oct 2021 00:00:00 GMTReal Schur flow computations, helicity fastening effects and Bagua-pattern cyclones
https://scholar.archive.org/work/me6mwlk4pjhvpdqqvvn7wgraui
A semi-analytical algorithm is developed for simulating flows with the velocity gradient uniformly of the real Schur form. Computations for both decaying and driven cases are performed, exhibiting basic results for general conception and testing the specific notion of 'helicity fastening flows', and, creating the Jiu-Gong/Ba-Gua (ditetragonal/octagonal) pattern of cyclones resembling northern circumpolar cluster of Jupiter.Jian-Zhou Zhuwork_me6mwlk4pjhvpdqqvvn7wgrauiWed, 06 Oct 2021 00:00:00 GMTEfficient algorithms for wave problems
https://scholar.archive.org/work/54jxtoflpfhizjjnt32kkdvsrq
Boris Bonevwork_54jxtoflpfhizjjnt32kkdvsrqTue, 21 Sep 2021 00:00:00 GMTOn the influence of gravity in the dynamics of geophysical flows
https://scholar.archive.org/work/o6bwkxg5pvh2pjpzbbmyflns5i
In the present paper, we study a multiscale limit for the barotropic Navier-Stokes system with Coriolis and gravitational forces, for vanishing values of the Mach, Rossby and Froude numbers (Ma, Ro and Fr, respectively). The focus here is on the effects of gravity: albeit remaining in a low stratification regime Ma/ Fr → 0, we consider scaling for the Froude number which go beyond the "critical" value Fr = √( Ma). The rigorous derivation of suitable limiting systems for the various choices of the scaling is shown by means of a compensated compactness argument. Exploiting the precise structure of the gravitational force is the key to get the convergence.Daniele Del Santo, Francesco Fanelli, Gabriele Sbaiz, Aneta Wróblewska-Kamińskawork_o6bwkxg5pvh2pjpzbbmyflns5iMon, 20 Sep 2021 00:00:00 GMTVariational methods for dissipative multifield problems in solid mechanics
https://scholar.archive.org/work/beinzk2yprewda35ezs3wjasii
In many engineering applications, solid materials undergo processes that cause an irreversible change in their microstructure. Such dissipative phenomena usually have a multifield character which means that, besides the macro-deformation, also other physical fields such as temperature, species concentration or plastic and damage variables are involved. Practical applications include, for example, hot sheet metal forming, diffusion processes or brittle as well as ductile fracturing. The focus of this work is to develop a general and versatile modeling framework for dissipative multifield processes in solids undergoing large deformations. This framework is provided by incremental variational principles which fully describe the evolution of the system under consideration. Special attention is paid to the coupling of the involved physical fields in accordance with the fundamental laws of thermodynamics. The major contribution of this work is the development of new models and formulations for brittle and ductile fracturing in isotropic and anisotropic materials, diffusion in solids and the thermomechanics of gradient-extended continua including aspects of stability.Stephan Teichtmeister, Universität Stuttgartwork_beinzk2yprewda35ezs3wjasiiFri, 10 Sep 2021 00:00:00 GMT