Blar i Institutt for datateknologi, elektroteknologi og realfag på emneord "VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410"
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Estimation of the Interpolation Error for Semiregular Prismatic Elements
(Peer reviewed; Journal article, 2020)In this paper we introduce the semiregularity property for a family of decompositions of a polyhedron into a natural class of prisms. In such a family, prismatic elements are allowed to be very flat or very long compared ... -
Functional analysis and exterior calculus on mixed-dimensional geometries
(Peer reviewed; Journal article, 2020)We are interested in differential forms on mixed-dimensional geometries, in the sense of a domain containing sets of d-dimensional manifolds, structured hierarchically so that each d-dimensional manifold is contained in ... -
Higher order stable schemes for stochastic convection-reaction-diffusion equations driven by additive Wiener noise
(Peer reviewed; Journal article, 2021)In this paper, we investigate the numerical approximation of stochastic convection–reaction–diffusion equations using two explicit exponential integrators. The stochastic partial differential equation (SPDE) is driven by ... -
Optimal strong convergence rates of some Euler-type timestepping schemes for the finite element discretization SPDEs driven by additive fractional Brownian motion and Poisson random measure
(Peer reviewed; Journal article, 2020)In this paper, we study the numerical approximation of a general second order semilinear stochastic partial differential equation (SPDE) driven by a additive fractional Brownian motion (fBm) with Hurst parameter H>12 and ... -
What makes nonholonomic integrators work?
(Peer reviewed; Journal article, 2020)A nonholonomic system is a mechanical system with velocity constraints not originating from position constraints; rolling without slipping is the typical example. A nonholonomic integrator is a numerical method specifically ...