Variational Methods for Nonsmooth Mechanics [PDF]
In this thesis we investigate nonsmooth classical and continuum mechanics and its discretizations by means of variational numerical and geometric methods.
Fetecau, Razvan Constantin
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Artificial intelligence (AI) advancements have radically altered human production and daily living. When it comes to AI's quick rise, it facilitates the growth of China's citizens, and at the same moment, a lack of intelligence has led to several ...
Hao Liu
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Variational Methods in Surface Parameterization [PDF]
A surface parameterization is a function that maps coordinates in a 2-dimensional parameter space to points on a surface. This thesis investigates two kinds of parameterizations for surfaces that are disc-like in shape.
Litke, Nathan Jacob
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Sensitivity analysis and parameter estimation for distributed hydrological modeling: potential of variational methods [PDF]
Variational methods are widely used for the analysis and control of computationally intensive spatially distributed systems. In particular, the adjoint state method enables a very efficient calculation of the derivatives of an objective function ...
Dartus, Denis +8 more
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Thermomechanical Variational Principles for Dissipative Materials with Application to Strain Localization in Bulk Metallic Glasses [PDF]
This thesis is concerned with variational principles for general coupled thermomechanical problems in dissipative materials including finite elastic and plastic deformation, non-Newtonian viscosity, rate sensitivity, arbitrary flow and hardening rule, as
Yang, Qiang
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PyDDA: A Pythonic Direct Data Assimilation Framework for Wind Retrievals
This software assimilates data from an arbitrary number of weather radars together with other spatial wind fields (eg numerical weather forecasting model data) in order to retrieve high resolution three dimensional wind fields. PyDDA uses NumPy and SciPy’
Robert Jackson +4 more
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An adaptive finite element approximation of a variational model of brittle fracture [PDF]
The energy of the Francfort–Marigo model of brittle fracture can be approximated, in the sense of Gamma-convergence, by the Ambrosio–Tortorelli functional.
Christoph Ortner +8 more
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Quantum Algorithms in Electromagnetic Propagation Modelling for Telecommunications
Modelling of electromagnetic wave propagation in telecommunications has evolved from empirical models to highly deterministic ray tracing and numerical methods.
Roman Novak
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Modeling, Simulation, and Design of Self-Assembling Space Systems: Accurate Collision Detection, Robust Time Integration, and Optimal Control [PDF]
Motivated by issues inherent in modeling and designing self-assembling systems (e.g. multiple collisions, collisions between non-smooth bodies, clumping and jamming behaviors, etc.), the goal of this thesis is to develop robust numerical tools that ...
Gwendolyn B. Johnson +1 more
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Discrete Mechanics and Optimal Control for Space Trajectory Design [PDF]
Space trajectory design is often achieved through a combination of dynamical systems theory and optimal control. The union of trajectory design techniques utilizing invariant manifolds of the planar circular restricted three-body problem and the optimal ...
Moore, Ashley
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