The conservative time high-order AVF compact finite difference schemes for two-dimensional variable coefficient acoustic wave equations

DOI10.1007/s10915-019-00983-6zbMath1436.65102OpenAlexW2948179473WikidataQ127781070 ScholiaQ127781070MaRDI QIDQ2316266

Hongmei Zhu, Baohui Hou, Dong Liang

Publication date: 26 July 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-019-00983-6

zbMATH Keywords

convergence analysisHamiltonianenergy conservationvariable coefficient wave equationcompact finite differenceAVF method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hydro- and aero-acoustics (76Q05) Finite difference methods for boundary value problems involving PDEs (65N06) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (8)

An explicit fourth-order compact difference scheme for solving the 2D wave equation ⋮ The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions ⋮ On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations ⋮ On construction and properties of compact 4th order finite-difference schemes for the variable coefficient wave equation ⋮ A Conservative Gradient Discretization Method for Parabolic Equations ⋮ On higher-order compact ADI schemes for the variable coefficient wave equation ⋮ ON COMPACT 4TH ORDER FINITE-DIFFERENCE SCHEMES FOR THE WAVE EQUATION ⋮ Compact difference schemes for the multidimensional Klein-Gordon equation

Cites Work

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• A new high accuracy locally one-dimensional scheme for the wave equation
• High order finite difference methods for wave propagation in discontinuous media
• High-order schemes for acoustic waveform simulation
• Fourth-order compact solution of the nonlinear Klein-Gordon equation
• Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
• A high order compact time/space finite difference scheme for the wave equation with variable speed of sound
• A new geometric modeling approach for woven fabric based on Frenet frame and spiral equation
• Numerical solution of the wave equation with variable wave speed on nonconforming domains by high-order difference potentials
• A fourth order accurate finite difference scheme for the elastic wave equation in second order formulation
• Improving the accuracy of the AVF method
• Energy preserving integration of bi-Hamiltonian partial differential equations
• Efficient and accurate numerical simulation of acoustic wave propagation in a 2D heterogeneous media
• Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field method
• A two-level compact ADI method for solving second-order wave equations
• A General Framework for Deriving Integral Preserving Numerical Methods for PDEs
• Geometric integration using discrete gradients
• Difference Approximations for the Second Order Wave Equation
• Construction Analysis of Fourth-Order Finite Difference Schemes for the Acoustic Wave Equation in Nonhomogeneous Media
• Fourth‐order compact and energy conservative scheme for solving nonlinear Klein‐Gordon equation
• A New Compact Finite Difference Method for Solving the Generalized Long Wave Equation
• Effective Computational Methods for Wave Propagation
• A new class of energy-preserving numerical integration methods

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