The interaction between a magnetic domain wall and a pinning site is explored in a planar nanowire using micromagnetics to reveal perturbations of the pinning energetics for propagating domain walls. Numerical simulations in the high damping 'quasi-static' and low damping 'dynamic' regimes are compared and show clear differences in de-pinning fields, indicating that dynamical micromagnetic mode...

A systematic sensitivity analysis requires computing the model on all points of a multi-dimensional grid covering the domain of interest, defined by the ranges of variability of the inputs. The issues to efficiently perform such analyses on algebraic models are handling solution failures within and close to the feasible region and minimizing the total iteration count. Scanning the domain in the...

Domain decomposition of two-dimensional domains on which boundary-value elliptic problems are formulated, is accomplished by probabilistic (Monte Carlo) as well as by quasi-Monte Carlo methods, generating only few interfacial values and interpolating on them. Continuous approximations for the trace of solution are thus obtained, to be used as boundary data for the sub-problems. The numerical tr...

A novel algorithm to efficiently compute transient wave fields produced by known three-dimensional source constellations is proposed. The algorithm uses domain decomposition concepts and comprises two steps to be repeated for each subdomain considered. In the first step, delayand amplitude-compensated fields, produced by sources residing inside each subdomain are computed at a sparse set of poi...

Dynamic faulting under slip-dependent friction in a linear elastic domain (in-plane and 3D configurations) is considered. The use of an implicit time-stepping scheme (Newmark method) allows much larger values of the time step than the critical CFL time step, and higher accuracy to handle the non-smoothness of the interface constitutive law (slip weakening friction). The finite element form of t...

In this paper we propose to widen both the domain and range of Arrovian social choice to allow for a more general and transparent model. The domain will be enlarged towards pro...les of extended orderings, while we allow the range to contain quasi-orderings, and thus possibly incomplete social relations. By adapting some standard axioms towards our framework, we can derive a generalization of t...

The capsid protein of hepatitis B virus, consisting of an "assembly" domain (residues 1-149) and an RNA-binding "protamine" domain (residues 150-183), assembles from dimers into icosahedral capsids of two different sizes. The C terminus of the assembly domain (residues 140-149) functions as a morphogenetic switch, longer C termini favoring a higher proportion of the larger capsids, it also conn...

We study the topological spectrum of a seminormed ring $R$ which we define as space prime ideals $\mathfrak{p}$ such that equals kernel some bounded power-multiplicative seminorm. For any show is quasi-compact sober space. When perfectoid Tate construct natural homeomorphism between and its tilt $R^{\flat}$. As an application, prove integral domain if only domain.

We study the slot allocation problem where agents have quasi-linear single-peaked preferences over slots and identify rules satisfying efficiency, strategy-proofness, individual rationality. Since domain is not connected, famous characterization of Vickrey rule in terms Holmström (1979)'s three properties cannot be applied. However, we are able to establish that on domain, still only

In this paper we generate and study new cubature formulas based on spline quasi-interpolants defined as linear combinations of C bivariate quadratic B-splines on a rectangular domain Ω, endowed with a non-uniform criss-cross triangulation, with discrete linear functionals as coefficients. Such B-splines have their supports contained in Ω and there is no data point outside this domain. Numerical...