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 Jianguo Xin

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Average citations per article8.00
Citation Count56
Publication count7
Publication years2004-2012
Available for download1
Average downloads per article718.00
Downloads (cumulative)718
Downloads (12 Months)15
Downloads (6 Weeks)0
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7 results found Export Results: bibtexendnoteacmrefcsv

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1
February 2012 Journal of Scientific Computing: Volume 50 Issue 2, February 2012
Publisher: Plenum Press
Bibliometrics:
Citation Count: 0

We construct well-conditioned orthonormal hierarchical bases for simplicial $\mathcal{L}_{2}$ finite elements. The construction is made possible via classical orthogonal polynomials of several variables. The basis functions are orthonormal over the reference simplicial elements in two and three dimensions. The mass matrices M are identity while the conditioning of the stiffness ...
Keywords: Simplicial $\mathcal{L}_{2}$-conforming elements, Hierarchical bases, Matrix conditioning

2
March 2006 Applied Numerical Mathematics - The third international conference on the numerical solutions of volterra and delay equations, May 2004, Tempe, AZ: Volume 56 Issue 3, March 2006
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 0

We use an artificial viscosity term to stabilize discontinuous Galerkin solutions of hyperbolic conservation laws in the presence of discontinuities. Viscous coefficients are selected to minimize spurious oscillations when a kinematic wave equation is subjected to piecewise constant initial data. The same strategy is used with a local linearization in ...
Keywords: hyperbolic conservation laws, discontinuous Galerkin, viscous stabilization

3
March 2006 Applied Numerical Mathematics: Volume 56 Issue 3-4, March, 2006
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 3

We use an artificial viscosity term to stabilize discontinuous Galerkin solutions of hyperbolic conservation laws in the presence of discontinuities. Viscous coefficients are selected to minimize spurious oscillations when a kinematic wave equation is subjected to piecewise constant initial data. The same strategy is used with a local linearization in ...
Keywords: Discontinuous Galerkin, Viscous stabilization, Hyperbolic conservation laws

4
June 2005 Journal of Scientific Computing: Volume 22-23 Issue 1, June 2005
Publisher: Plenum Press
Bibliometrics:
Citation Count: 0

We describe procedures to model transient shock interaction problems using discontinuous Galerkin methods to solve the compressible Euler equations. The problems are motivated by blast flows surrounding cannons with perforated muzzle brakes. The goal is to predict shock strengths and blast over pressure. This application illustrates several computational difficulties. The ...
Keywords: anisotropic mesh refinement, blast, shock detection, adaptive methods, hyperbolic conservation problems, discontinuous Galerkin methods

5 published by ACM
June 2005 ACM Transactions on Mathematical Software (TOMS): Volume 31 Issue 2, June 2005
Publisher: ACM
Bibliometrics:
Citation Count: 1
Downloads (6 Weeks): 0,   Downloads (12 Months): 15,   Downloads (Overall): 718

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We present the implementation of well-conditioned hierarchical bases for one-dimensional, triangular and tetrahedral elements in finite element FEMLAB software. Using the domain mesh information provided by FEMLAB, we found an easy way to maintain the continuity of solution across the interelement boundaries. The conditionings of the global stiffness matrices of ...
Keywords: finite element methods, condition number, hierarchical bases, FEMLAB

6
January 2005 Journal of Scientific Computing: Volume 22-23 Issue 1-3, January 2005
Publisher: Plenum Press
Bibliometrics:
Citation Count: 7

We describe procedures to model transient shock interaction problems using discontinuous Galerkin methods to solve the compressible Euler equations. The problems are motivated by blast flows surrounding cannons with perforated muzzle brakes. The goal is to predict shock strengths and blast over pressure. This application illustrates several computational difficulties. The ...
Keywords: Hyperbolic conservation problems blast, adaptive methods, Shock detection, Discountinuous Galerkin methods, anisotropic mesh refinement

7
March 2004 Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs: Volume 48 Issue 3-4, March 2004
Publisher: Elsevier Science Publishers B. V.
Bibliometrics:
Citation Count: 45

We describe a strategy for detecting discontinuities and for limiting spurious oscillations near such discontinuities when solving hyperbolic systems of conservation laws by high-order discontinuous Galerkin methods. The approach is based on a strong superconvergence at the outflow boundary of each element in smooth regions of the flow. By detecting ...



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