Results 11 to 20 of about 383,945 (221)
On the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flows [PDF]
Frontiers in Physics, 2022 High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can still be required for variable-density flows with under-resolved features.
Jesse Chan +5 more
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Reduced order models based on local POD plus Galerkin projection [PDF]
Journal of Computational Physics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rapun Banzo, Maria Luisa +1 more
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Galerkin projection of discrete fields via supermesh construction [PDF]
, 2009 Interpolation of discrete FIelds arises frequently in computational physics. This thesis focuses on the novel implementation and analysis of Galerkin projection, an interpolation technique with three principal advantages over its competitors: it is optimally accurate in the L2 norm, it is conservative, and it is well-defined in the case of spaces of ...
Pain, Christopher +2 more
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Consistent local projection stabilized finite element methods [PDF]
, 2010 This work establishes a formal derivation of local projection stabilized methods as a result of an enriched Petrov-Galerkin strategy for the Stokes problem.
Barrenechea, Gabriel +3 more
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The convergence of Galerkin–Petrov methods for Dirichlet projections
Annals of Functional Analysis, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li He, Yifang Li, Yiyuan Zhang
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Accelerating numerics on PDEs using POD and Galerkin projection [PDF]
, 2010 A method will be described to accelerate time-dependent numerical solvers of PDEs that is based on the combined use of proper orthogonal decomposition (POD) and Galerkin projection.
Terragni, Filippo +2 more
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Non-polynomial Galerkin projection on deforming meshes [PDF]
ACM Transactions on Graphics, 2013 This paper extends Galerkin projection to a large class of non-polynomial functions typically encountered in graphics. We demonstrate the broad applicability of our approach by applying it to two strikingly different problems: fluid simulation and radiosity rendering, both using deforming meshes.
Matt Stanton +6 more
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Galerkin Projection Methods for Solving Multiple Linear Systems [PDF]
SIAM Journal on Scientific Computing, 1999 In this paper, we consider using conjugate gradient (CG) methods for solving multiple linear systems $A^{(i)} x^{(i)} = b^{(i)},$ for $1 \le i \le s,$ where the coefficient matrices $A^{(i)}$ and the right-hand sides $b^{(i)}$ are different in general.\ In particular, we focus on the seed projection method which generates a Krylov subspace from a set ...
Tony F. Chan, Michael K. Ng 0001
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Stability Preservation in Stochastic Galerkin Projections of Dynamical Systems [PDF]
SIAM/ASA Journal on Uncertainty Quantification, 2019 In uncertainty quantification, critical parameters of mathematical models are substituted by random variables. We consider dynamical systems composed of ordinary differential equations. The unknown solution is expanded into an orthogonal basis of the random space, e.g., the polynomial chaos expansions.
Roland Pulch, Florian Augustin
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Interpolation, Projection and Hierarchical Bases in Discontinuous Galerkin Methods [PDF]
Numerical Mathematics: Theory, Methods and Applications, 2015 The paper presents results on piecewise polynomial approximations of tensor product type in Sobolev-Slobodecki spaces by various interpolation and projection techniques, on error estimates for quadrature rules and projection operators based on hierarchical bases, and on inverse inequalities.
Angermann, Lutz, Henke, Christian
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