Exploració per tema "Galerkin methods"
Ara es mostren els items 1-20 de 38
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A comparison of two formulations to blend finite elements and mesh-free methods
(2004-03)
Article
Accés obertMesh-free methods have since their early developments been blended to the finite element formulation in order to benefit from the advantages of both numerical techniques. In this paper, two recently proposed formulations ... -
A discontinuous galerkin formulation for solid dynamics
(Omnipress, 2006)
Presentació
Accés obert -
A simple shock-capturing technique for high-order discontinuous Galerkin methods
(2012-08)
Article
Accés obertThis article presents a novel shock-capturing technique for the discontinuous Galerkin (DG) method. The technique is designed for compressible flow problems, which are usually characterized by the presence of strong shocks ... -
Adaptive finite element simulation of incompressible flows by hybrid continuous-discontinuous Galerkin formulations
(2013-02)
Article
Accés obertIn this work we design hybrid continuous-discontinuous finite element spaces that permit discontinuities on non-matching element interfaces of non-conforming meshes. Then, we develop an equal-order stabilized finite element ... -
Analysis of the discontinuous Galerkin interior penalty method with solenoidal approximations for the stokes equations
(2014)
Article
Accés obertThe discontinuous Galerkin Interior Penalty Method with solenoidal approximations proposed in [13] for the incompressible Stokes equations is analyzed. Continuity and coercivity of the bilinear form are proved. A priori ... -
Aspectos computacionales del método Local Discontinuous Galerkin para mallas no conformes en 2D
(Universitat Politècnica de Catalunya. CIMNE, 2010)
Article
Accés obertEn este artículo se describe una implementación del método Local Discontinuous Galerkin (LDG) aplicado a problemas elípticos en 2D para mallas no conformes con elementos rectilíneos. Esta implementación toma ventaja de ... -
Bounds for quantities of interest and adaptivity in the element-free Galerkin method
(Wiley and Sons, 2008-07)
Article
Accés obertA novel approach to implicit residual-type error estimation in mesh-free methods and an adaptive refinement strategy are presented. This allows computing upper and lower bounds of the error in energy norm with the ultimate ... -
Bounds of functional outputs for parabolic problems. Part I: Exact bounds of the discontinuous Galerkin time discretization
(2008-03)
Article
Accés obertClassical implicit residual type error estimators require using an underlying spatial finer mesh to compute bounds for some quantity of interest. Consequently, the bounds obtained are only guaranteed asymptotically that ... -
Cell-based maximum entropy approximants
(2015-02-01)
Article
Accés obertIn this paper, we devise cell-based maximum-entropy (max-ent) basis functions that are used in a Galerkin method for the solution of partial differential equations. The motivation behind this work is the construction of ... -
Development of numerical tools for modelling electrical streamers
(Universitat Politècnica de Catalunya, 2023-07-12)
Projecte Final de Màster Oficial
Accés obertThe electric discharges that precede the leader, such as streamer discharges and corona discharges, have garnered significant interest within the scientific community due to their wide range of applications. Whether in the ... -
Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes
(2017-06)
Article
Accés obertThis work is devoted to the design of interior penalty discontinuous Galerkin (dG) schemes that preserve maximum principles at the discrete level for the steady transport and convection–diffusion problems and the respective ... -
Discontinuous Galerkin approximations in computational mechanics: hybridization, exact geometry and degree adaptivity
(Springer, 2019)
Article
Accés obertDiscontinuous Galerkin (DG) discretizations with exact representation of the geometry and local polynomial degree adaptivity are revisited. Hybridization techniques are employed to reduce the computational cost of DG ... -
Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations
(2008-07)
Article
Accés obertA discontinuous Galerkin (DG) method with solenoidal approximation for the simulation of incompressible flow is proposed. It is applied to the solution of the Stokes equations. The interior penalty method is employed to ... -
Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity
(2012)
Report de recerca
Accés obertIn this article, we analyze several discontinuous Galerkin methods (DG) for the Stokes problem under the minimal regularity on the solution. We assume that the velocity u belongs to [H1 0 ()]d and the pressure p 2 L2 0 ... -
Goal oriented error estimation for the element free Galerkin method
(2007-06)
Article
Accés obertA novel approach for implicit residual-type error estimation in meshfree methods is presented. This allows to compute upper and lower bounds of the error in energy norm with the ultimate goal of obtaining bounds for outputs ... -
Goal-oriented error estimation for transient parabolic problems
(2007-04)
Article
Accés obertThis work focuses on controlling the error and adapting the discretization in the context of parabolic problems. In order to obtain a sound mathematical framework, the time domain is discretized using a Discontinuous ... -
GPU-accelerated sparse matrix-vector product for a hybridizable discontinuous Galerkin method
(2011)
Text en actes de congrés
Accés restringit per política de l'editorialThe iterative solution of the large systems of equations that result from discontinuous Galerkin (DG) discretizations require the ability to carry out fast matrix-vector products. DG matrices have a sparse block structure ... -
High-order continuous and discontinuous Galerkin methods for wave problems
(2013-12-10)
Article
Accés restringit per política de l'editorialhree Galerkin methods—continuous Galerkin, Compact Discontinuous Galerkin, and hybridizable discontinuous Galerkin—are compared in terms of performance and computational efficiency in 2-D scattering problems for low and ... -
High-order hybridizable discontinuous Galerkin formulation for one-phase flow through porous media
(2021-03-06)
Article
Accés obertWe present a stable high-order hybridizable discontinuous Galerkin (HDG) formulation coupled with high-order diagonal implicit Runge–Kuta (DIRK) schemes to simulate slightly compressible one-phase flow through porous media. ... -
High-order hybridizable discontinuous Galerkin formulation with fully implicit temporal schemes for the simulation of two-phase flow through porous media
(John Wiley & Sons, 2021-07-30)
Article
Accés obertWe present a memory-efficient high-order hybridizable discontinuous Galerkin (HDG) formulation coupled with high-order fully implicit Runge-Kutta schemes for immiscible and incompressible two-phase flow through porous ...