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We discuss stabilized Galerkin approximations in a new framework, widening the scope from the usual dichotomy of the discontinuous Galerkin method on the one hand and Petrov--Galerkin methods such as the SUPG method on the other. The idea is to use interio ...
In this paper, we introduce a framework that merges classical ideas borrowed from scale-space and multi-resolution segmentation with non-linear partial differential equations. A non-linear scale-space stack is constructed by means of an appropriate diffusi ...
The Maxwell eigenvalue problem is known to pose difficulties for standard numerical methods, predominantly due to its large null space. As an alternative to the widespread use of Galerkin finite-element methods based on curl-conforming elements, we propose ...
We present the foundation for establishing a modular, collaborative, integrated, open-source architecture for image processing of electron microscopy images, named iplt. It is designed around object oriented paradigms and implemented using the programming ...
Standard continuous Galerkin-based finite element methods have poor stability properties when applied to transport-dominated flow problems, so excessive numerical stabilization is needed. In contrast, the Discontinuous Galerkin method is known to have good ...
A methodology has been developed for the accurate assessment of localised reactivity perturbations in a BWR lattice embedded in a larger multiplying system, based on a full-system, unperturbed calculation, and on perturbed calculations on reduced-geometry ...
A weighted residual formulation of equilibrium equations for nonlinear structural analysis is presented in material description. Starting from the strong form, the weak form is derived by means of a suitable choice of weighting functions. In order to get t ...
Stabilized finite elements on strongly anisotropic meshes are considered. The design of the stability coefficients is addressed for both the advection-diffusion and the Stokes problems when using continuous piecewise linear finite elements on triangles. Us ...
Capturing concerns that crosscut the boundaries of multiple components in software architecture descriptions is problematic. Standard description languages, such as UML, do not provide adequate means to understand and modularize such concerns, but aspect-o ...
Capturing concerns that crosscut the boundaries of multiple components in software architecture descriptions is problematic. Standard description languages, such as UML, do not provide adequate means to understand and modularize such concerns, but aspect-o ...
