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Title: Mixed (LL*)-1 and LL* least-squares finite element methods with application to linear hyperbolic problems: Mixed (LL*)-1 and LL* least-squares finite element methods with application to linear hyperbolic problems

Journal Article · · Numerical Linear Algebra with Applications
DOI:https://doi.org/10.1002/nla.2150· OSTI ID:1537596
ORCiD logo [1];  [1];  [2]
  1. Department of Applied Mathematics, University of Colorado at Boulder, USA
  2. Department of Applied Mathematics, University of Colorado at Boulder, USA; Fakultät für Mathematik, Universität Duisburg-Essen, Germany
+ Show Author Affiliations

Not provided.

Research Organization:
Texas A & M Univ., College Station, TX (United States); Univ. of Colorado, Boulder, CO (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
DOE Contract Number:
NA0002376; FG02-03ER25574
OSTI ID:
1537596
Journal Information:
Numerical Linear Algebra with Applications, Vol. 25, Issue 3; ISSN 1070-5325
Publisher:
Wiley
Country of Publication:
United States
Language:
English

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Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I journal June 1998
Least-squares finite elements for first-order hyperbolic systems journal January 1988
Mixed Finite Element Methods and Applications book January 2013
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First-Order System $\CL\CL^*$ (FOSLL*): Scalar Elliptic Partial Differential Equations journal January 2001
Iterative Methods for Sparse Linear Systems book January 2003
First-Order System Least Squares for Second-Order Partial Differential Equations: Part I journal December 1994
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Improved Least-squares Error Estimates for Scalar Hyperbolic Problems journal January 2001
A Comparative Study of Least-squares, SUPG and Galerkin Methods for Convection Problems journal October 2001
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First-Order System LL* (FOSLL*) for General Scalar Elliptic Problems in the Plane journal January 2005
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A First-Order System Least Squares Finite Element Method for the Shallow Water Equations journal January 2005
A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions journal October 2010
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Hybrid First-Order System Least Squares Finite Element Methods with Application to Stokes Equations journal January 2013
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Error-bounds for finite element method journal January 1971

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