Results 11 to 20 of about 367,212 (211)
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
doaj +2 more sources
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
core +4 more sources
Comparison of high-order methods on unstructured grids [PDF]
, 2013 A high-order Discontinuous Galerkin (DG) method is formulated and implemented on the Cranfield University’s 3D unstructured Finite Volume Method (FVM) code (UCNS3D), for both linear and non-linear hyperbolic conservation laws and for test-cases which ...
Iqbal, Kashif H.
core +7 more sources
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
openaire +1 more source
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
openaire +1 more source
Galerkin Projection Methods for Solving Multiple Linear Systems [PDF]
SIAM Journal on Scientific Computing, 1999 The paper is devoted to solve multiple linear systems \(A^{(i)}x^{(i)}=b^{(i)}\), \(1 \leq i \leq s\), with different coefficient matrices and different right-hand sides. Two important practical situations are considered, namely, the eigenvectors of the coefficient matrices are the same and the coefficient matrices differ by rank-1 or rank-2 matrices ...
Tony F. Chan, Michael K. Ng 0001
openaire +3 more sources
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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Banach space projections and Petrov–Galerkin estimates [PDF]
Numerische Mathematik, 2014 9 pages; v2: added new section on application to Lp and Sobolev ...
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Energetic Galerkin Projection of Electromagnetic Fields Between Different Meshes [PDF]
IEEE Transactions on Magnetics, 2014 published at Compumag ...
Zifu Wang +4 more
openaire +3 more sources