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In this project, we deepen the analysis of a tumour growth model, recently proposed by Garcke et al. in [1]. This model describes tumour and healthy cells evolution as well as tumour cells’ nutrients, mixture velocity and pressure in the domain. Furthermor ...
Architectural structures such as buildings, towers, bridges and roofs are of fundamental importance in urban environments. Their design, planing, construction and maintenance carry numerous challenges in engineering due to the complex interplay of material ...
A new numerical method based on numerical homogenization and model order reduction is introduced for the solution of multiscale inverse problems. We consider a class of elliptic problems with highly oscillatory tensors that varies on a microscopic scale. W ...
We compare the performance of the perturbation-based (local) portfolio solution method of Devereux & Sutherland (2010a, 2011) with a global solution method. As a test suite we use model specifications that broadly capture features of international financia ...
A new numerical method based on numerical homogenization and model order reduction is introduced for the solution of multiscale inverse problems. We consider a class of elliptic problems with highly oscillatory tensors that varies on a microscopic scale. W ...
This paper presents an efficient method to implement a damage law within an explicit time-integration scheme, in an open-source object-oriented finite-element framework. The hybrid object/vector design of the framework and implementation choices are detail ...
Many applied problems, like transport processes in porous media or ferromagnetism in composite materials, can be modeled by partial differential equations (PDEs) with heterogeneous coefficients that rapidly vary at small scales. To capture the effective be ...
A finite element heterogeneous multiscale method is proposed for solving the Stokes problem in porous media. The method is based on the coupling of an effective Darcy equation on a macroscopic mesh with unknown permeabilities recovered from micro finite el ...
Aggregation of electric resources is a fundamental function for the operation of power grids at different time scales. In the context of a recently proposed framework for the real-time control of microgrids with explicit power setpoints, we define and form ...
Understanding the hydro-mechanical behavior of shale is fundamental to assess the safety of deep geological nuclear repository sites. Several countries have adopted argillaceous formations as host geological media for the repository. In Switzerland, the ca ...