Interior penalty discontinuous approximations of elliptic problems.
Lazarov, R., Tomov, S., Vassilevski, P. (2001)
Computational Methods in Applied Mathematics
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Displaying similar documents to “The strengthened C.B.S. inequality constant for second order elliptic partial differential operator and for hierarchical bilinear finite element functions”
Interior penalty discontinuous approximations of elliptic problems.
On elliptic partial differential equations
L. Nirenberg (1959)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Superconvergence of mixed finite element semi-discretizations of two time-dependent problems
Jan Brandts (1999)
Applications of Mathematics
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We will show that some of the superconvergence properties for the mixed finite element method for elliptic problems are preserved in the mixed semi-discretizations for a diffusion equation and for a Maxwell equation in two space dimensions. With the help of mixed elliptic projection we will present estimates global and pointwise in time. The results for the Maxwell equations form an extension of existing results. For both problems, our results imply that post-processing and a posteriori...
Analysis of two-level domain decomposition preconditioners based on aggregation
Marzio Sala (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we present two-level overlapping domain decomposition preconditioners for the finite-element discretisation of elliptic problems in two and three dimensions. The computational domain is partitioned into overlapping subdomains, and a coarse space correction is added. We present an algebraic way to define the coarse space, based on the concept of aggregation. This employs a (smoothed) aggregation technique and does not require the introduction of a coarse grid. We...
Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators
János Karátson (2005)
Applications of Mathematics
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A mesh independent bound is given for the superlinear convergence of the CGM for preconditioned self-adjoint linear elliptic problems using suitable equivalent operators. The results rely on K-condition numbers and related estimates for compact Hilbert-Schmidt operators in Hilbert space.