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Showing 1 to 16 of 16 for “"Mixed Boundary Conditions."”.
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Control of Burgers' Equation With Mixed Boundary Conditions
… and control for Burgers' equation with mixed boundary conditions. We first conduct numerical experiments to test the convergence and stability of two standard finite element schemes for various Robin boundary conditions and a variety of Reynolds numbers. These schemes are used to compute …
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Impacts of double-diffusive processes on the thermohaline circulation
… has been done under three types of surface boundary conditions. (a) Under "relaxation" conditions, there is a two-thirds power law dependence of the meridional overturning rate (and the poleward heat transport) on the diapycnal diffusivity. For any given external forcing, there is only one …
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Impacts of double-diffusive processes on the thermohaline circulation
… has been done under three types of surface boundary conditions. (a) Under "relaxation" conditions, there is a two-thirds power law dependence of the meridional overturning rate (and the poleward heat transport) on the diapycnal diffusivity. For any given external forcing, there is only one …
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On two problems related to the Laplace operator
… the principal eigenvalue of the Laplacian under mixed boundary conditions in case the weight has indefinite sign and varies in the class of rearrangements of a fixed function g0 defined on a smooth and bounded domain Ω in Rn. We prove existence and uniqueness results, and in special cases, we …
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Artificial Micro-Devices: Armoured Microbubbles and a Magnetically Driven Cilium
… ultrasound, using a potential flow model with mixed boundary conditions, to identify the resonant frequencies and mode shapes, including the dependence of the resonance on the AMB shape parameters. Returning to our general streaming model, we applied the mixed boundary conditions directly to …
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Intrinsic Ultracontractivity and Other Properties of Mixed Barrier Brownian Motions
… behavior of Brownian motions with Dirichlet boundary condition on an unbounded domain D above the graph of a bounded Lipschitz function. We discover that the large time behavior of the Dirichlet heat kernel pD = pD(t , x, y), for x, y ∈ D is limt→infinity td+22pD t,x,y=C1u xuy, …
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Covolume-Upwind Finite Volume Approximations For Linear Elliptic Partial Differential Equations
… elliptic partial differential equations with mixed boundary conditions. This class of problems has intensive applications in various fields of science and engineering, e.g., fluid mechanics, groundwater prediction, environmental protection. An advantage of the finite volume method is that one …
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Methods of fast Fourier transform in diffraction problems of elastic and acoustic waves with applications to crack mechanics
… to problems in wave dynamics, acoustics, and boundary-value problems of mechanics with mixed boundary conditions. This includes: 1) Development of fast methods for integral equations with convolution kernels arising in these fields of application. Such integral equations, after discretization, …
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Thermal stresses in a finite solid-propellant grain
… an arbitrarily selected set of cylinder end-conditions. Therefore, different end conditions than the ones employed here might have been considered just as easily. The fundamental difficulties encountered in the thermoelastic analysis of short cylinders are that firstly the problem is at least …
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On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types
… optimization problem where a portion of the boundary is parametrized, these results involve the existence of the solution to our problem and the calculation of the derivative of the shape functional. Shape optimization problems have a long history of mathematical study and a wide range of …
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Acoustic Scattering in Sheared Flow
… vortical, hydrodynamic disturbances within the boundary-layer into far-field, acoustic, noise. Inspired by nature, for example the silent flight of owls, modification of the flow within the boundary-layer near the trailing-edge, either through passive or active devices, appears to offer methods …
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Some mixed and associated boundary value problems in the theory of thin plates
… of the differential equation subject to given boundary conditions. Indeed, it may be safely stated that the bulk of the literature on the subject of flat plates is concerned with the solution of problems involving the specification of the transverse loading on the plate and the conditions at …
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Domain Decomposition Preconditioners for Hermite Collocation Problems
… systems arising from the discretization of boundary value problems. Although collocation is a very general and effective discretization technique for many PDE problems, there has been relatively little work on preconditioners for collocation problems. This thesis proposes two preconditioning …
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CLASSIFICATION RESULTS FOR SEMILINEAR ELLIPTIC EQUATIONS
… one is about semilinear elliptic equations with mixed boundary conditions in spherical sectors inside a cone. We show that a radial symmetry result of Gidas-Ni-Nirenberg type for positive solutions does not hold in general nonconvex cones. This symmetry breaking result is achieved by studying the …
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Driving the ocean's overturning : an adjoint sensitivity study
… overturning on times scales of years to decades. Boundary and equatorial Kelvin waves and equatorially trapped Rossby waves carry information around the boundaries of the basin and across the equator in less than a decade for a basin of the size of the Atlantic. Advection of buoyancy perturbations …
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Modeling and detection of delaminations in laminated plates
… In the first chapter, we present the Traction Boundary Element Method (TBEM) that is the tool we use to model scattering of waves by cracks in elastic media. A critical step in the TBEM is the evaluation of integrals with hypersingular kernels; we propose a novel approach to evaluate …