Results 261 to 270 of about 18,549 (299)
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On hyperbolic method for diffusion with discontinuous coefficients
Journal of Computational Physics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hiroaki Nishikawa
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Mortar Finite Element Methods for Discontinuous Coefficients
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1999 AbstractIn this paper, we consider a mortar finite element method for second order elliptic boundary value problems with discontinuous coefficients. At the interface where the coefficient is discontinuous, different triangulations and/or discretizations are coupled by means of Lagrange multipliers.
Wohlmuth, Barbara, Barbara Wohlmuth
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A Posteriori Error Estimators for Elliptic Equations with Discontinuous Coefficients
Advances in Computational Mathematics, 2002 This paper deals with the elliptic problem \(\nabla(k(x)\nabla u)= f\in L^2(\Omega)\), \(\Omega\subset \mathbb{R}^d\), \(d= 2,3\), where \(k\) is a piecewise constant and positive on polygonal (polyhedral) subdomains, and mixed boundary conditions are given. A posteriori error estimators for the mentioned problems are analyzed. The error estimators can
Petzoldt, Martin
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One-dimensional transport equations with discontinuous coefficients
Nonlinear Analysis: Theory, Methods & Applications, 1998 We consider one-dimensional linear transport equations with bounded but possibly discontinuous coefficient a. The Cauchy problem is studied from two different points of view. In the first case we assume that a is piecewise continuous.
François Bouchut
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SIAM Journal on Numerical Analysis, 2013 Nondivergence form elliptic equations with discontinuous coefficients do not generally possess a weak formulation, thus presenting an obstacle to their numerical solution by classical finite element methods.
Iain Smears, Endre Suli
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Noncoercive elliptic equations with discontinuous coefficients in unbounded domains [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2017 In this paper we study Dirichlet problems for noncoercive linear elliptic equations with discontinuous coefficients in unbounded domains.
Sara Monsurrõ, Maria Transirico
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On the Resolution of the Heat Equation with Discontinuous Coefficients
Semigroup Forum, 2000Let \(\Omega\) be an open subset of class \(C^2\) in \(\mathbb{R}^n,\) \(T>0,\) \(f\in L^p(Q)\) and \(p \in (1,\infty).\) The aim of the authors is to study existence and uniqueness with optimal regularity of solutions of the heat equation: \[ {{\partial u}\over {\partial t}}(t,x)= a(t,x) \Delta u(t,x)+ f(t,x) \] where \((t,x) \in Q =]0, T[ \times ...
Labbas, Rabah, Moussaoui, Mohand
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The Quasilinear Parabolic Venttsel’ Problem with Discontinuous Leading Coefficients
Functional Analysis and Its Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Darya Apushkinskaya +3 more
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Estimation of discontinuous elliptic coefficients
Applied Mathematics and Computation, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
White, Luther W. +2 more
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ON BISINGULAR INTEGRAL OPERATORS WITH DISCONTINUOUS COEFFICIENTS
Mathematics of the USSR-Sbornik, 1976Necessary and sufficient conditions are obtained for bisingular integral operators on piecewise smooth Ljapunov curves with discontinuous coefficients in the -spaces with a weight to be Noetherian. The Banach algebra generated by these operators is studied; a regularizer is constructed in the case of continuous coefficients.Bibliography: 40 titles.
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