Results 1  10
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751
The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
 SIAM J. Num. Anal
, 1994
"... Abstract. The authors develop finite difference methods for elliptic equations of the form V. ((x)Vu(x)) + (x)u(x) f(x) in a region in one or two space dimensions. It is assumed that gt is a simple region (e.g., a rectangle) and that a uniform rectangular grid is used. The situation is studied in wh ..."
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Cited by 273 (31 self)
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in which there is an irregular surface F of codimension contained in fl across which, a, and f may be discontinuous, and along which the source f may have a delta function singularity. As a result, derivatives of the solution u may be discontinuous across F. The specification of a jump discontinuity in u
Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows
 SIAM J. Sci. Comput
"... this paper is to discuss the a posteriori error analysis and adaptive mesh design for discontinuous Galerkin finite element approximations to systems of conservation laws. In Section 2, we introduce the model problem and formulate its discontinuous Galerkin finite element approximation. Section 3 is ..."
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Cited by 122 (17 self)
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polyhedral domain fl in lI n, n _> 1, with boundary 0fl, we consider the following problem: find u: fl > lI m, m _> 1, such that div(u) = 0 in , (2.1) where, ,: m __> mxn is continuously differentiable. We assume that the system of conservation laws (2.1) may be supplemented by appropriate
Singularities of Electromagnetic Fields in Polyhedral Domains
 ARCH. RATIONAL MECH. ANAL
, 1997
"... In this paper, we investigate the singular solutions of time harmonic Maxwell equations in a domain which has edges and polyhedral corners. It is now well known that in the presence of nonconvex edges, the solution fields have no square integrable gradients in general and that the main singulariti ..."
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Cited by 80 (10 self)
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In this paper, we investigate the singular solutions of time harmonic Maxwell equations in a domain which has edges and polyhedral corners. It is now well known that in the presence of nonconvex edges, the solution fields have no square integrable gradients in general and that the main
A Library for Doing Polyhedral Operations
, 1993
"... Polyhedra are geometric representations of linear systems of equations and inequalities. Since polyhedra are used to represent the iteration domains of nested loop programs, procedures for operating on polyhedra are useful for doing loop transformations and other program restructuring transformatio ..."
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Cited by 119 (13 self)
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transformations which are needed in parallelizing compilers. Thus a need for a library of polyhedral operations has recently been recognized in the parallelizing compiler community. Polyhedra are also used in the definition of domains of variables in systems of affine recurrence equations (SARE). Alpha is a
Generalizing the Template Polyhedral Domain
"... Template polyhedra generalize weakly relational domains by specifying arbitrary fixed linear expressions on the lefthand sides of inequalities and undetermined constants on the right. The domain operations required for analysis over template polyhedra can be computed in polynomial time using line ..."
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Cited by 4 (0 self)
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linear programming. In this paper, we introduce the generalized template polyhedral domain that extends template polyhedra using fixed lefthand side expressions with bilinear forms involving program variables and unknown parameters to the right. We prove that the domain operations over generalized
Weighted regularization of Maxwell equations in polyhedral domains
 Numerische Mathematik
"... Abstract. We present a new method of regularizing time harmonic Maxwell equations by a divergence part adapted to the geometry of the domain. This method applies to polygonal domains in two dimensions as well as to polyhedral domains in three dimensions. In the presence of reentrant corners or edge ..."
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Cited by 48 (6 self)
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Abstract. We present a new method of regularizing time harmonic Maxwell equations by a divergence part adapted to the geometry of the domain. This method applies to polygonal domains in two dimensions as well as to polyhedral domains in three dimensions. In the presence of reentrant corners
on curvilinear Lipschitz polyhedral domains Ω
"... on curvilinear Lipschitz polyhedral domains Ω ..."
Selfdetermination and persistence in a reallife setting: Toward a motivational model of high school dropout.
 Journal of Personality and Social Psychology,
, 1997
"... The purpose of this study was to propose and test a motivational model of high school dropout. The model posits that teachers, parents, and the school administration's behaviors toward students influence students' perceptions of competence and autonomy. The less autonomy supportive the so ..."
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Cited by 183 (19 self)
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schools. Questionnaire The questionnaire was made up of five parts. In the first part, participants completed three scales that assessed perceptions of different social agents' (parents, teachers, and the school administration) autonomy support in the school domain. 1 Each scale consisted of three
Polyhedral analysis for synchronous languages
 STATIC ANALYSIS: PROCEEDINGS OF THE 6TH INTERNATIONAL SYMPOSIUM, VOLUME 1694 OF LECTURE NOTES IN COMPUTER SCIENCE
, 1999
"... We define an operational semantics for the Signal language and design an analysis which allows to verify properties pertaining to the relation between values of the numeric and boolean variables of a reactive system. A distinguished feature of the analysis is that it is expressed and proved correct ..."
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Cited by 22 (3 self)
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with respect to the source program rather than on an intermediate representation of the program. The analysis calculates a safe approximation to the set of reachable states by a symbolic fixed point computation in the domain of convex polyhedra using a novel widening operator based on the convex hull
Sobolev spaces on Lie manifolds and regularity for polyhedral domains.
 Doc. Math.,
, 2006
"... Abstract. We study some basic analytic questions related to differential operators on Lie manifolds, which are manifolds whose large scale geometry can be described by a a Lie algebra of vector fields on a compactification. We extend to Lie manifolds several classical results on Sobolev spaces, ell ..."
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Cited by 20 (14 self)
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result on polyhedral domains P ⊂ R 3 using the weighted Sobolev spaces K m a (P). In particular, we show that there is no loss of K m a regularity for solutions of strongly elliptic systems with smooth coefficients. For the proof, we identify K m a (P) with the Sobolev spaces on P associated
Results 1  10
of
751