Results 11 to 20 of about 18,549 (299)
Inverse Problems for Parabolic Equation with Discontinuous Coefficients
Nonautonomous Dynamical Systems, 2017 Abstract We consider the reaction-diffusion equation with discontinuities in the diffusion coefficient and the potential term. We start by deriving the Carleman estimate for the discontinuous reaction-diffusion operator which is deployed in the inverse problems of finding the stability result of the two discontinuous coefficients from ...
Dinakar V. +2 more
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An Improved XFEM for the Poisson Equation with Discontinuous Coefficients
Archive of Mechanical Engineering, 2017 Discontinuous coefficients in the Poisson equation lead to the weak discontinuity in the solution, e.g. the gradient in the field quantity exhibits a rapid change across an interface.
Stąpór Paweł
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Analytic semigroup generated by an elliptic operator with discontinuous coefficients
Le Matematiche, 2000 We consider the generation of analytic semigroups by elliptic operators with discontinuous coefficients.
Giuseppe Di Fazio, Pietro Zamboni
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Spikes for the Gierer–Meinhardt System with Discontinuous Diffusion Coefficients [PDF]
Journal of Nonlinear Science, 2009 This paper deals with the Gierer-Meinhardt system, in \((-1,+1)\) \[ a_t=\varepsilon^2a_{xx}-a+\frac{a^2}{h}, \qquad \tau h_t=(D(x)h_x)_x-h+a^2, \] associated with the Neumann boundary conditions \[ a_x(-1)=a_x(+1)=0\quad h_x(-1)=h_x(+1)=0.
Juncheng Wei, Matthias Winter
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Elliptic operators with discontinuous coefficients in meshfree GFDM [PDF]
, 2023 peer reviewedIn phase change simulations, material properties such as density, viscosity, or thermal conductivity may exhibit jump discontinuities, possibly of several orders of magnitude.
Meister, Andreas +3 more
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A relaxation scheme for conservation laws with a discontinuous coefficient [PDF]
Mathematics of Computation, 2003 The authors study a relaxation scheme for conservation laws with discontinuous flux function \(f(k(x),u)\), where \(k(x)\) is a discontinuous coefficient. If \(k \in \text{BV}\) they are able to show that the approximate solutions of the relaxation scheme converge to a weak solution. The Murat-Tartar compensated compactness approach is used in order to
Kenneth H. Karlsen +2 more
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On Discontinuous Galerkin Methods for Elliptic Problems with Discontinuous Coefficients [PDF]
Computational Methods in Applied Mathematics, 2003 AbstractDiscontinuous Galerkin methods for elliptic problems with discontinuous coefficients are discussed. First the error bound of the methods is analyzed. Then a multilevel additive Schwarz preconditioner for one of the discrete problems is designed and analyzed.
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Conservation Laws with Time Dependent Discontinuous Coefficients [PDF]
SIAM Journal on Mathematical Analysis, 2005 The authors consider scalar conservation laws where the flux function depends discontinuously on both the spatial and temporal locations. The existence and well-posedness of an entropy solution to the Cauchy problem are proved. The existence is established by showing that a sequence of front tracking approximations is compact in \(L^1\), and that the ...
COCLITE, Giuseppe Maria, RISEBRO N. H.
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On Hill′s equation with a discontinuous coefficient [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We research the asymptotic formula for the lengths of the instability intervals of the Hill′s equation with coefficients q(x) and r(x), where q(x) is piecewise continuous and r(x) has a piecewise continuous second derivative in open intervals (0, b) and (b, a)(0 < b < a).
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On the existence of Feller semigroups with discontinuous coefficients II [PDF]
Acta Mathematica Sinica, English Series, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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