Numerical approximation of elastic waves equations by implicit spectral methods
From MaRDI portal
Publication:1370734
DOI10.1016/S0045-7825(96)01167-XzbMath0892.73079OpenAlexW2052122436WikidataQ127372919 ScholiaQ127372919MaRDI QIDQ1370734
Publication date: 3 August 1998
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(96)01167-x
stabilityconvergencespatial discretizationabsorbing boundary conditionsLegendre collocation methodsimplicit integration schemesintegration step timelinear elasto-dynamic problem
Related Items
Implicit spectral element methods and Neumann-Neumann preconditioners for acoustic waves ⋮ Nonlinear stress analysis problems by spectral collocation methods ⋮ An implicit FFT-based method for wave propagation in elastic heterogeneous media ⋮ Numerical modeling of seismic waves by discontinuous spectral element methods ⋮ Generalized Galerkin approximations of elastic waves with absorbing boundary conditions ⋮ Numerical approximation of acoustic waves by spectral element methods ⋮ A theoretical analysis of a new finite volume scheme for second order hyperbolic equations on general nonconforming multidimensional spatial meshes ⋮ Isogeometric collocation discretizations for acoustic wave problems ⋮ Explicit second order isogeometric discretizations for acoustic wave problems ⋮ Convergence acceleration by varying time-step size using Bi-CGSTAB method for turbulent flow computation ⋮ Pseudospectral solution of linear evolution equations of second order in space and time on unstructured quadrilateral subdomain topologies ⋮ Overlapping Schwarz and spectral element methods for linear elasticity and elastic waves ⋮ An explicit second order spectral element method for acoustic waves ⋮ Convergence analysis of some high-order time accurate schemes for a finite volume method for second order hyperbolic equations on general nonconforming multidimensional spatial meshes ⋮ Approximation of acoustic waves by explicit Newmark's schemes and spectral element methods
Cites Work
- Domain decomposition preconditioners for the spectral collocation method
- Domain decomposition for wave propagation problems
- On the condition number of some spectral collocation operators and their finite element preconditioning
- Numerical solution of linear elastic problems by spectral collocation methods
- LOW AND HIGH ORDER FINITE ELEMENT METHOD: EXPERIENCE IN SEISMIC MODELING
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- Finite Element Preconditioning for Legendre Spectral Collocation Approximations to Elliptic Equations and Systems
- Absorbing Boundary Conditions for the Numerical Simulation of Waves
- Radiation boundary conditions for acoustic and elastic wave calculations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
