Transient wave propagation in inhomogeneous media with enriched overlapping triangular elements

[1]  K. Bathe,et al.  An analysis of implicit time integration schemes for wave propagations , 2020 .

[2]  Klaus-Jürgen Bathe,et al.  Quadrilateral overlapping elements and their use in the AMORE paradigm , 2019, Computers & Structures.

[3]  Klaus-Jürgen Bathe,et al.  The AMORE paradigm for finite element analysis , 2019, Adv. Eng. Softw..

[4]  K. Bathe,et al.  The Bathe time integration method with controllable spectral radius: The ρ∞-Bathe method , 2019, Computers & Structures.

[5]  Klaus-Jürgen Bathe,et al.  Transient implicit wave propagation dynamics with overlapping finite elements , 2018 .

[6]  Ki-Tae Kim,et al.  The new paradigm of finite element solutions with overlapping elements in CAD – Computational efficiency of the procedure , 2018 .

[7]  Klaus-Jrgen Bathe,et al.  Overlapping finite elements for a new paradigm of solution , 2017 .

[8]  Lingbo Zhang,et al.  The finite element method with overlapping elements A new paradigm for CAD driven simulations , 2017 .

[9]  Klaus-Jürgen Bathe,et al.  The method of finite spheres in three-dimensional linear static analysis , 2016 .

[10]  K. Bathe,et al.  Transient implicit wave propagation dynamics with the method of finite spheres , 2016 .

[11]  K. Bathe,et al.  The method of finite spheres for wave propagation problems , 2014 .

[12]  K. Bathe,et al.  Performance of an implicit time integration scheme in the analysis of wave propagations , 2013 .

[13]  Klaus-Jürgen Bathe,et al.  A finite element method enriched for wave propagation problems , 2012 .

[14]  U. Lee.  Spectral Element Method in Structural Dynamics , 2009 .

[15]  S. P. Oliveira,et al.  Dispersion analysis of spectral element methods for elastic wave propagation , 2008 .

[16]  K. Bathe.  Conserving energy and momentum in nonlinear dynamics: A simple implicit time integration scheme , 2007 .

[17]  Srinivasan Gopalakrishnan,et al.  A Spectral Finite Element Model for Wave Propagation Analysis in Laminated Composite Plate , 2006 .

[18]  M. Guddati,et al.  Modified integration rules for reducing dispersion error in finite element methods , 2004 .

[19]  D. Komatitsch,et al.  Simulation of anisotropic wave propagation based upon a spectral element method , 2000 .

[20]  K. Bathe,et al.  The method of finite spheres , 2000 .

[21]  Usik Lee,et al.  The spectral element method in structural dynamics , 2000 .

[22]  I. Babuska,et al.  Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions , 1999 .

[23]  M. Christon.  The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation , 1999 .

[24]  Ivo Babuška,et al.  A Generalized Finite Element Method for solving the Helmholtz equation in two dimensions with minimal pollution , 1995 .

[25]  K. Bathe.  Finite Element Procedures , 1995 .

[26]  P. Pinsky,et al.  A galerkin least-squares finite element method for the two-dimensional Helmholtz equation , 1995 .

[27]  Peter M. Pinsky,et al.  Finite element dispersion analysis for the three‐dimensional second‐order scalar wave equation , 1992 .

[28]  T. Belytschko,et al.  Dispersion analysis of finite element semidiscretizations of the two‐dimensional wave equation , 1982 .