Results 191 to 200 of about 73,174 (233)
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Proceedings of the 20th annual conference on Computer graphics and interactive techniques, 1993
This paper presents an alternative radiosity formulation using piecewise smooth radiance functions that incorporates curved surfaces directly. Using the Galerkin integral equation technique as a mathematical foundation, surface radiance functions are approximated by polynomials.
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This paper presents an alternative radiosity formulation using piecewise smooth radiance functions that incorporates curved surfaces directly. Using the Galerkin integral equation technique as a mathematical foundation, surface radiance functions are approximated by polynomials.
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Galerkin and collocation‐Galerkin methods with superconvergence and optimal fluxes
International Journal for Numerical Methods in Engineering, 1981AbstractFinite element methods are formulated and investigated for the effectiveness factor problem for heat and mass transfer with chemical reactions in catalyst pellet models. A Galerkin finite element method is compared with a previous C1 collocation method7.
Carey, G. F. +2 more
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Galerkin Residuals for Adaptive Symmetric-Galerkin Boundary Element Methods
Journal of Engineering Mechanics, 1999This paper presents a simple a posteriori error estimator and an effective adaptive mesh refinement procedure for the symmetric Galerkin boundary element method. The ''hypersingular residuals,'' developed for error estimation in a standard collocation BEM, are extended to the symmetric Galerkin setting.
Glaucio H. Paulino, L. J. Gray
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Engineering analysis with boundary elements, 2018
In this paper, combining the dimension splitting method with the improved complex variable element-free Galerkin method, a hybrid improved complex variable element-free Galerkin (H-ICVEFG) method is presented for three-dimensional advection-diffusion ...
H. Cheng, M. Peng, Yumin Cheng
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In this paper, combining the dimension splitting method with the improved complex variable element-free Galerkin method, a hybrid improved complex variable element-free Galerkin (H-ICVEFG) method is presented for three-dimensional advection-diffusion ...
H. Cheng, M. Peng, Yumin Cheng
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SIAM Journal on Matrix Analysis and Applications, 2010
We investigate the structural, spectral, and sparsity properties of Stochastic Galerkin matrices as they arise in the discretization of linear differential equations with random coefficient functions. These matrices are characterized as the Galerkin representation of polynomial multiplication operators.
Oliver G. Ernst, Elisabeth Ullmann
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We investigate the structural, spectral, and sparsity properties of Stochastic Galerkin matrices as they arise in the discretization of linear differential equations with random coefficient functions. These matrices are characterized as the Galerkin representation of polynomial multiplication operators.
Oliver G. Ernst, Elisabeth Ullmann
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DISCONTINUOUS GALERKIN FOR TURBULENT FLOWS
2011The purpose of this chapter is to present all the relevant features of a high-order DG method developed over the years for the numerical solution of the RANS and k-w equations. The method has been implemented using orthogonal and hierarchical modal shape functions defined in the real space.
Francesco Bassi +4 more
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Discontinuous Galerkin Methods
2008In this article, we describe some simple and commonly used discontinuous Galerkin methods for elliptic, Stokes and convection-diffusion problems. We illustrate these methods by numerical experiments.
Vivette Girault, Mary F. Wheeler
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Discontinuous Galerkin Methods
2012In this final chapter we present the discontinuous Galerkin (dG) method. This method is based on finite element spaces that consist of discontinuous piecewise polynomials defined on a partition of the computational domain. Such methods are very flexible, for example, since they allow construction of more general methods and since they allow for simple ...
Mats G. Larson, Fredrik Bengzon
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Discontinuous Galerkin Methods
2018Two GDMs are obtained from the Discontinuous Galerkin setting. The first one recovers the high order SIPG schemes in the case of linear problems, the second one, based on average jumps, leads to simpler computations.
Jérôme Droniou +4 more
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