For Au = f with an elliptic differential operator A : H → H′ and stochastic data f , the m-point correlation function Mmu of the random solution u satisfies a deterministic, hypoelliptic equation with the m-fold tensor product operator A of A. Sparse tensor products of hierarchic FE-spaces in H are known to allow for approximations to Mmu which converge at essentially the rate as in the case m ...

A new method of migration using the finite element method (FEM) and the finite difference method (FDM) is jointly used in the spatial domain. It has been applied to solve a time relay 2D wave equation. By using the semi-discretization technique of FEM in the spatial domain, the origin problem can be written as a coupled system of lower dimensions partial differential equations (PDEs) that conti...

Computation of soft tissue mechanical responses for surgery simulation and image-guided surgery has been dominated by the finite element (FE) method that utilises a mesh of interconnected elements as a computational grid. Shortcomings of such mesh-based discretisation in modelling of surgical cutting include high computational cost and the need for re-meshing in the vicinity of cutting-induced ...

An Activity Recognition system on streaming data must analyze the drift in the sensing values and, at any significant change detected, decide if there is a change in the activity performed by the person. The performances of such system depend on both the Feature Extraction (FE) and the classification stages in the context of streaming data. In the context of streaming and high imbalanced data, ...

Functional encryption (FE) enables fine-grained access control of encrypted data while promising simplified key management. In the past few years substantial progress has been made on functional encryption and a weaker variant called predicate encryption. Unfortunately, fundamental impossibility results have been demonstrated for constructing FE schemes for general functions satisfying a simula...

Fatigue life prediction of dynamically loaded structures employs stress frequency response functions (FRF’s) in the critical area of the structure. The global/local model concept is used for the computation of the stress FRF’s. The method combines the result of a dynamic finite element (FE) analysis applied to a coarse model of the total structure with the result of a static FE analysis applied...

A major computational issue in the finite element (FE) integration of coupled consolidation equations is the repeated solution in time of the resulting discretized indefinite system. Because of ill-conditioning, the iterative solution, which is recommended in large size 3D settings, requires the computation of a suitable preconditioner to guarantee convergence. In this paper the coupled system ...

this document represents the final essay for the PhD course DT8114 – PhD Seminar in Computer Science, which is part of my doctoral study program. This report aims to give an overview of the main topics in the course syllabus, which is composed by the following papers and books: • Langton C. Artificial Life, pag. 1-48 Proceedings of the Interdisciplinary Workshop on the Synthesis and Simulation ...

A dynamics of the precession coupled atomic moments in tight-binding (TB) approximation is presented. By implementing an angular penalty functional energy that captures magnetic effective fields self-consistently, motion orientation local observed faster than variation their magnitudes. This allows computation are found consistent with Heisenberg's exchange interaction, by comparison classical ...

In this work we propose a new cryptographic primitive called Delegatable Homomorphic Encryption (DHE). This allows a Trusted Authority to control/delegate the capability to evaluate circuits over encrypted data to untrusted workers/evaluators by issuing tokens. This primitive can be both seen as a public-key counterpart to Verifiable Computation, where input generation and output verification a...