5 papers
Quasi-Monte Carlo for Bayesian shape inversion governed by the Poisson problem subject to Gevrey regular domain deformations
Ana Djurdjevac, Vesa Kaarnioja, Max Orteu +1
We consider the application of a quasi-Monte Carlo cubature rule to Bayesian shape inversion subject to the Poisson equation under Gevrey regular parameterizations of domain uncert…
Uncertainty quantification for stationary and time-dependent PDEs subject to Gevrey regular random domain deformations
Ana Djurdjevac, Vesa Kaarnioja, Claudia Schillings +1
We study uncertainty quantification for partial differential equations subject to domain uncertainty. We parameterize the random domain using the model recently considered by Chern…
A Fully Discrete Nonnegativity-Preserving FEM for a Stochastic Heat Equation
Owen Hearder, Claude Le Bris, Ana Djurdjevac
We consider a stochastic heat equation with nonlinear finite-rank space-coloured multiplicative noise that admits a unique nonnegative solution when given nonnegative initial data.…
A nonnegativity-preserving finite element method for a class of parabolic SPDEs with multiplicative noise
Ana Djurdjevac, Claude Le Bris, Endre Süli
We consider a prototypical parabolic SPDE with finite-dimensional multiplicative noise, which, subject to a nonnegative initial datum, has a unique nonnegative solution. Inspired b…
Transmission problems and domain decompositions for non-autonomous parabolic equations on evolving domains
Amal Alphonse, Ana Djurdjevac, Emil Engström +1
Parabolic equations on evolving domains model a multitude of applications including various industrial processes such as the molding of heated materials. Such equations are numeric…