Finite element methods for the Helmholtz equation in an exterior domain: model problems

[1]  H. A. Schenck.  Improved Integral Formulation for Acoustic Radiation Problems , 1968 .

[2]  L. G. Copley,et al.  Fundamental Results Concerning Integral Representations in Acoustic Radiation , 1968 .

[3]  G. F. Miller,et al.  The application of integral equation methods to the numerical solution of some exterior boundary-value problems , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[4]  G. Strang,et al.  An Analysis of the Finite Element Method , 1974 .

[5]  R. E. Kleinman,et al.  Boundary Integral Equations for the Three-Dimensional Helmholtz Equation , 1974 .

[6]  Calvin H. Wilcox,et al.  Scattering Theory for the d'Alembert Equation in Exterior Domains , 1975 .

[7]  Richard H. Gallagher,et al.  Finite elements in fluids , 1975 .

[8]  A. Bayliss,et al.  Radiation boundary conditions for wave-like equations , 1980 .

[9]  Claes Johnson,et al.  Finite element methods for linear hyperbolic problems , 1984 .

[10]  Methods of functional analysis for application in solid mechanics , 1985 .

[11]  Jukka Saranen,et al.  Streamline diffusion methods for the incompressible Euler and Navier-Stokes equations , 1986 .

[12]  A mixed finite element method for boundary flux computation , 1986 .

[13]  Thomas J. R. Hughes,et al.  A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems , 1986 .

[14]  T. Hughes,et al.  Finite element method for high-speed flows - Consistent calculation of boundary flux , 1987 .

[15]  T. K. Rengarajan,et al.  The use of CHIEF to obtain unique solutions for acoustic radiation using boundary‐integral equations , 1987 .

[16]  Thomas J. R. Hughes,et al.  Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations†‡ , 1987 .

[17]  T. Hughes,et al.  Space-time finite element methods for elastodynamics: formulations and error estimates , 1988 .

[18]  T. Hughes,et al.  The Galerkin/least-squares method for advective-diffusive equations , 1988 .

[19]  T. Hughes,et al.  Two classes of mixed finite element methods , 1988 .

[20]  Stephen Martin Kirkup,et al.  Solution of exterior acoustic problems by the boundary element method , 1989 .

[21]  F. B. Ellerby,et al.  Numerical solutions of partial differential equations by the finite element method , by C. Johnson. Pp 278. £40 (hardback), £15 (paperback). 1988. ISBN 0-521-34514-6, 34758-0 (Cambridge University Press) , 1989, The Mathematical Gazette.

[22]  J. Keller,et al.  Exact non-reflecting boundary conditions , 1989 .

[23]  Kenneth A. Cunefare,et al.  A boundary element method for acoustic radiation valid for all wavenumbers , 1989 .

[24]  L. Franca,et al.  The Galerkin gradient least-squares method , 1989 .

[25]  Dan Givoli,et al.  A finite element method for large domains , 1989 .

[26]  F. Shakib.  Finite element analysis of the compressible Euler and Navier-Stokes equations , 1989 .

[27]  Peter M. Pinsky,et al.  Transient Finite Element Analysis of the Exterior Structural Acoustics Problem , 1990 .