Resultats globals: 7 registres trobats en 0.03 segons.
Documents de recerca, 7 registres trobats
Documents de recerca 7 registres trobats  
1.
37 p, 339.3 KB Schwarz methods for a preconditioned WOPSIP method for elliptic problems / Antonietti, Paola F. ; Ayuso, B. ; Brenner, Susanne C. ; Sung, Li-Yeng ; Centre de Recerca Matemàtica
We construct and analyze non-overlapping Schwarz methods for a preconditioned weakly over-penalized symmetric interior penalty (WOPSIP) method for elliptic problems.
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1057)  
2.
9 p, 314.4 KB A block solver for the exponentally fitted IIPG-0 method / Ayuso, B. ; Lombardi, Ariel ; Pietra, Paola ; Zikatanov, Ludmil ; Centre de Recerca Matemàtica
We consider an exponentially fitted discontinuous Galerkin method for advection dominated problems and propose a block solver for the resulting linear systems. In the case of strong advection the solver is robust with respect to the advection direction and the number of unknowns.
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1055)  
3.
30 p, 367.4 KB L2−estimates for the DG IIPG-0 scheme / Ayuso, B. ; Brezzi, Franco ; Havle, Oto ; Marini, L. Donatella ; Centre de Recerca Matemàtica
We discuss the optimality in L2 of a variant of the Incomplete Discontinuous Galerkin Interior Penalty method (IIPG) for second order linear elliptic problems. We prove optimal estimate, in two and three dimensions, for the lowest order case under suitable regularity assumptions on the data and on the mesh. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1052)  
4.
8 p, 352.6 KB Mutigrid preconditioner for nonconforming discretization of elliptic problems with jump coefficients / Ayuso, B. ; Holst, M. ; Zhu, Y. ; Zikatanov, Ludmil ; Centre de Recerca Matemàtica
In this paper, we present a multigrid preconditioner for solving the linear system arising from the piecewise linear nonconforming Crouzeix-Raviart discretization of second order elliptic problems with jump coe fficients. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1054)  
5.
28 p, 297.4 KB A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations / Ayuso, B. ; Georgiev, Ivan ; Kraus, Johannes ; Zikatanov, Ludmil ; Centre de Recerca Matemàtica
We study preconditioning techniques for discontinuous Galerkin discretizations of isotropic linear elasticity problems in primal (displacement) formulation. We propose subspace correction methods based on a splitting of the vector valued piecewise linear discontinuous finite element space, that are optimal with respect to the mesh size and the Lamé parameters. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1056)  
6.
48 p, 405.8 KB Discontinuous Galerkin methods for the Multi-dimensional Vlasov-Poisson problem / Ayuso de Dios, Blanca (Centre de Recerca Matemàtica) ; Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Shu, C.-W. (Brown University. Division of Applied Mathematics) ; Centre de Recerca Matemàtica
We introduce and analyze two new semi-discrete numerical methods for the multi-dimensional Vlasov-Poisson system. The schemes are constructed by combing a discontinuous Galerkin approximation to the Vlasov equation together with a mixed finite element method for the Poisson problem. [...]
Centre de Recerca Matemàtica 2010 (Prepublicacions del Centre de Recerca Matemàtica ; 962)  
7.
49 p, 515.7 KB Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system / Ayuso de Dios, Blanca (Universidad Autónoma de Madrid. Departamento de Matemáticas) ; Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Shu, C.-W. (Brown University. Division of Applied Mathematics) ; Centre de Recerca Matemàtica
We construct a new family of semi-discrete numerical schemes for the approximation of the one-dimensional periodic Vlasov-Poisson system. The methods are based on the coupling of discontinuous Galerkin approximation to the Vlasov equation and several finite element (conforming, non-conforming and mixed) approximations for the Poisson problem. [...]
Centre de Recerca Matemàtica 2009 (Prepublicacions del Centre de Recerca Matemàtica ; 900)  

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