Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier‐Stokes equations
TJR Hughes - International journal for numerical methods in …, 1987 - Wiley Online Library
SUPG methods were originally developed for the scalar advection‐diffusion equation and
the incompressible Navier‐Stokes equations. In the last few years successful extensions …
the incompressible Navier‐Stokes equations. In the last few years successful extensions …
[图书][B] Numerical solution of partial differential equations by the finite element method
C Johnson - 2009 - books.google.com
An accessible introduction to the finite element method for solving numeric problems, this
volume offers the keys to an important technique in computational mathematics. Suitable for …
volume offers the keys to an important technique in computational mathematics. Suitable for …
A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations
TJR Hughes, LP Franca, GM Hulbert - Computer methods in applied …, 1989 - Elsevier
Galerkin/least-squares finite element methods are presented for advective-diffusive
equations. Galerkin/least-squares represents a conceptual simplification of SUPG, and is in …
equations. Galerkin/least-squares represents a conceptual simplification of SUPG, and is in …
Space-time finite element methods for elastodynamics: formulations and error estimates
TJR Hughes, GM Hulbert - Computer methods in applied mechanics and …, 1988 - Elsevier
Abstract Space-time finite element methods are developed for classical elastodynamics. The
approach employs the discontinuous Galerkin method in time and incorporates stabilizing …
approach employs the discontinuous Galerkin method in time and incorporates stabilizing …
A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations
F Shakib, TJR Hughes, Z Johan - Computer Methods in Applied Mechanics …, 1991 - Elsevier
A space-time element method is presented for solving the compressible Euler and Navier-
Stokes equations. The proposed formulation includes the variational equation, predictor …
Stokes equations. The proposed formulation includes the variational equation, predictor …
[图书][B] Finite element methods for fluids
O Pironneau, O Pironneau - 1989 - ljll.fr
3.1 Introduction: boundary layers, instability of centered schemes.... 13 3.2 Stationary
convections: introduction, schemes based on the method of characteristics, upwind …
convections: introduction, schemes based on the method of characteristics, upwind …
Space-time finite element methods for second-order hyperbolic equations
GM Hulbert, TJR Hughes - Computer methods in applied mechanics and …, 1990 - Elsevier
Abstract Space-time finite element methods are presented to accurately solve
elastodynamics problems that include sharp gradients due to propagating waves. The new …
elastodynamics problems that include sharp gradients due to propagating waves. The new …
A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time-dependent …
A NEW FINITE ELEMENT FORMULATION FOR COMPUTATIONAL FLUID DYNAMICS: VI.
CONVERGENCE ANALYSIS OF THE GENERALIZED SUPG FORMULATION Page 1 COMPUTER …
CONVERGENCE ANALYSIS OF THE GENERALIZED SUPG FORMULATION Page 1 COMPUTER …
Time finite element methods for structural dynamics
GM Hulbert - International Journal for Numerical Methods in …, 1992 - Wiley Online Library
Time finite element methods are developed for the equations of structural dynamics. The
approach employs the time‐discontinuous Galerkin method and incorporates stabilizing …
approach employs the time‐discontinuous Galerkin method and incorporates stabilizing …
A new finite element formulation for computational fluid dynamics: IX. Fourier analysis of space-time Galerkin/least-squares algorithms
F Shakib, TJR Hughes - Computer Methods in Applied Mechanics and …, 1991 - Elsevier
A Fourier stability and accuracy analysis of the space-time Galerkin/least squares method as
applied to a time-dependent advective-diffusive model problem is presented. Two time …
applied to a time-dependent advective-diffusive model problem is presented. Two time …