CONTINUOUS MESH FRAMEWORK PART I: WELL-POSED CONTINUOUS INTERPOLATION ERROR

In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density, and stretching of anisotropic meshes. But, such structures are only considered to compute lengths in adaptive mesh generators. In this article, a Riemannian metric space is shown to be more...

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Vydané v:	SIAM journal on numerical analysis Ročník 49; číslo 1/2; s. 38 - 60
Hlavní autori:	LOSEILLE, ADRIEN, ALAUZET, FRÉDÉRIC
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011
Predmet:	Adaptation Analysis of PDEs Approximations and expansions Calculus of variations and optimal control Density Error analysis Errors Euclidean space Exact sciences and technology Finite element method General topology Interpolation Linear interpolation Mathematical analysis Mathematical duality Mathematical functions Mathematical models Mathematics Metric space Numerical analysis Numerical analysis. Scientific computation Numerical approximation Sciences and techniques of general use Studies Symmetry Tensors Tetrahedrons Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Unit ball Vertices 65N15 Linear interpolation Grid pattern Metric space Error estimation Optimization method Riemannian metric space anisotropic mesh adaptation interpolation error Numerical approximation optimal interpolation error bound Numerical analysis linear interpolate 65D05 65N50 Variational calculus 65L50 unstructured mesh Mathematical programming continuous mesh optimal interpolation error bound AMS subject classifications. 65D05
ISSN:	0036-1429, 1095-7170
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