Boundary integral equations
Fast Calderón preconditioning for Helmholtz boundary integral equations
... of boundary integral equations (BIEs) from elliptic par- tial differential ...the boundary data, instead of performing the discretisation of a whole ...
76
On the Use of Boundary Integral Equations and Linear Operators in Room Acoustics
... This method is an application of Hilbert Space methods to the solution of integral equations, where the goal is again to best approximate the exact solution. The criterion of best approximation is now ...
8
Steinbach_-_2008_-_Numerical_Approximation_Methods_for_Elliptic_Boundary_Value_Problems.pdf
... Lipschitz boundary Γ = ...Helmholtz equations. Note that boundary integral equations for boundary value prob- lems in linear elasticity can be formulated and analyzed as for the ...
396
Generalised boundary shift integral for longitudinal assessment of spinal cord atrophy
... Test results using three segmentation techniques showed that GBSI is robust and able to measure similar levels of atrophy, independently of the segmentation method used (JIM, SCT Propseg or SCT DeepSeg). This is a ...
8
TítuloOn a FEM BEM formulation for an exterior quasilinear problem in the plane
... The rest of the paper is organized as follows.In section 2, we consider an exterior quasilinear equation as a model problem and make some regularity hypotheses on the coefficients and the solution of the continuous ...
18
Boundary layer expansions for initial value problems with two complex time variables
... suitable directions d ∈ R . As a result, the asymptotic analysis in becomes a tractable task. The drawback of this approach concerns the class of equations we are able to handle, which is reduced compared to our ...
24
Pulsatile flow between two coaxial porous cylinders with slip on inner cylinder for large frequency of pulsation
... Navier-Stokes equations in cylindrical coordi- nates for ow of a viscous incompressible uid in a porous annulus with dierent radial velocities at the ...ential equations representing the boundary ...
16
From limit equations o general equations: An alternative strategy of developing equations in chemistry and its different stages of learning
... general equations of nature is as ...the boundary restrictions of limiting real systems or restrict reality to the boundaries where it can be ...and equations are raised to the category of general ...
6
EC 1251 Guía Node Voltage pdf
... supplemental equations. In this example, there are no sup- plemental equations, since there are no dependent sources or voltage sources in the ...of equations to solve for all of the ...
45
Partial Differential Equations with MATLAB
... Fourier and his series were here to stay. However, there still was no rig- orous proof of the convergence of these series. More to the point, there still was no precise definition of function, without which rigor is ...
670
Solutions of nonlinear Dirac equations
... holds. The authors obtain infinitely many solutions for the Soler model exploiting the inher- ent symmetry F (u) = F ( − u). They work on the space E s ⊂ H 1/2 ( R 3 , C 4 ) of functions of the form (1.4) and perturb the ...
40
Lie–Hamilton systems on curved spaces: A geometrical approach
... differential equations [2] and matrix Riccati equations ...differential equations cannot be described through Lie systems [2, 7], Lie systems occur in relevant physical and mathematical problems, ...
20
Equations of Lax type with several brackets
... differential equations) was first made by ...of equations are interesting because of their relation with problems of counting and combinatorial ...an integral Hamiltonian system that is also a gradient ...
14
Reducing the problem of waveguide excitation by currents in cross-section to a system of integral volterra equations
... is bounded by a piecewise smooth curve. The non - harmonic electromagnetic field excited in the waveguide is sought as a solution to the jump problem for the Maxwell equations. We show that the longitudinal ...
19
Propagator integral method for plasma physics kinetic equations with practical applications
... Propagator Integral Method (PIM) to general differential equations has been introduced, expanding the applicability of this method to solve a variety of equations that appears in many areas of ...
230
Uniqueness and boundary behaviour of large solutions to elliptic problems with singular weights
... Problem (P ) was studied for the first time in [23], with a ≡ 1 and p = (N + 2)/(N − 2). Later, in [20], [2], [3] and [27], the case with a(x) smooth and positive up to the boundary and, in [14], the case where a ...
11
Pulsatile flow between two coaxial porous cylinders with slip on inner cylinder
... meable boundary, a large number of viscous incompressible ows through porous channels, cylinders or between porous disks have been extended to the case when one or both boundaries are made of naturally permeable ...
16
Spectral discretizations of the Darcy's equations with non standard boundary conditions
... The equations of the Darcy problem not only modelize the flow in porous media, but also appear in the projection techniques for the solution of Navier-Stokes equations (see [10] and ...nonstandard ...
24
Spectral elements for multiple trace formulation applied to scattering problems in two dimension
... We present an efficient method to solve high-frequency scattering problems by het- erogenous penetrable objects in two dimensions. This is achieved by extending the so- called Local Multiple Traces Formulation, ...
72
TítuloA fully discrete BEM FEM method for an exterior elasticity system in the plane
... The rest of the paper is organized as follows. In section 2, we present a new version of the symmetric BEM–FEM formulation for the elasticity problem and show that the corresponding variational problem is well posed. In ...
18