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Parametric shape optimization using the support function
The optimization of shape functionals under convexity, diameter or constant width constraints shows numerical challenges. The support function can be...
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Learning by Doing: Integrating Shape Grammar as a Visual Coding Tool in Architectural Curricula
Computational design and shape grammars hold a growing appeal in the architectural curricula. This paper aims to assess shape grammars as a visual...
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Thermoelectric field for a coated hole of arbitrary shape in a nonlinearly coupled thermoelectric material
We study the thermoelectric field for an electrically and thermally insulated coated hole of arbitrary shape embedded in an infinite nonlinearly...
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A shape design problem for the Navier–Stokes flow with a convective boundary condition
In this study, a shape optimization problem for the two-dimensional stationary Navier–Stokes equations with an artificial boundary condition is...
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Analysis
Real analysis is the study of real numbers and maps between them (i.e. functions). Analysis provides a solid foundation for calculus, which in turn...
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An Extension of the Non-central Wishart Distribution with Integer Shape Vector
This research paper deals with an extension of the non-central Wishart introduced in 1944 by Anderson and Girshick, that is the non-central Riesz...
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A Simulation-Validated Shape Grammar for Architectural Acoustics
A visual language for designs of acoustical arrays is defined by a shape grammar that deploys design rules using shape representations of acoustic...
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Transverse Vibration of an Orthotropic Plate of Any Shape with a Set of Reinforced Holes of Arbitrary Configuration Under the Action of Distributed Loads Applied on the Surface
We solve the problem of steady-state transverse vibration of an orthotropic plate of any shape containing a set of reinforced holes of arbitrary...
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Shape and topology optimization for maximum probability domains in quantum chemistry
This article is devoted to the mathematical and numerical treatments of a shape optimization problem emanating from the desire to reconcile quantum...
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Constrained shape optimization problem in elastic mechanics
The main purpose of this article is to present a numerical method for geometrical shape optimization in the context of linear elastic structures. Our...
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A pessimistic bilevel stochastic problem for elastic shape optimization
We consider pessimistic bilevel stochastic programs in which the follower maximizes over a fixed compact convex set a strictly convex quadratic...
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Computer Simulation of the Stress-Strain State of Functionally Graded Sandwich Plates and Shallow Shells of Complex Shape Resting on the Elastic Foundation
We consider the problem of bending of a three-layer shallow shell resting on an elastic foundation under the action of a transverse load. It is...
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Symmetry Analysis
We have learnt the qualitative analysis of nonlinear systems in previous chapters. Symmetry is an inherent property of natural phenomena as well as...
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Diffusive Radiation Models for Optimal Shape Design in Phosphate Production
We study two diffusive approximations for radiative heat transfer in the context of optimal shape design for a melting furnace in phosphate...
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Shape Optimization Problems
In this chapter we provide a short review on some of the most relevant analytical and numerical tools required to face shape optimization problems....
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Semi-analytical investigation of heat transfer in a porous convective radiative moving longitudinal fin exposed to magnetic field in the presence of a shape-dependent trihybrid nanofluid
The thermal examination of a non-integer-ordered mobile fin with a magnetism in the presence of a trihybrid nanofluid (Fe 3 O 4 -Au-Zn-blood) is carried...
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Shape-adjustable developable generalized blended trigonometric Bézier surfaces and their applications
Developable surfaces have a vital part in geometric modeling, architectural design, and material manufacturing. Developable Bézier surfaces are the...
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A homeostasis criterion for limit cycle systems based on infinitesimal shape response curves
Homeostasis occurs in a control system when a quantity remains approximately constant as a parameter, representing an external perturbation, varies...
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Automatic update of Gaussian and multiquadric shape parameter for sequential metamodels based optimization
Several metamodeling techniques and strategies have been developed in recent decades for assisting the global optimization process of costly...
