Convolution quadrature for the wave equation with a nonlinear impedance boundary condition
DOI10.1090/mcom/3279zbMath1419.65048arXiv1604.05212OpenAlexW2963314385MaRDI QIDQ4637578
Alexander Rieder, Lehel Banjai
Publication date: 24 April 2018
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.05212
Numerical methods for integral equations (65R20) PDEs in connection with fluid mechanics (35Q35) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)
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- Some properties of layer potentials and boundary integral operators for the wave equation
- Uniform boundary stabilization of a wave equation with nonlinear acoustic boundary conditions and nonlinear boundary damping
- Convolution spline approximations for time domain boundary integral equations
- Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation
- Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains
- Runge-Kutta convolution quadrature for operators arising in wave propagation
- Operational calculus. A theory of hyperfunctions. Transl. from the Japanese
- Boundary integral equations
- Convolution quadrature and discretized operational calculus. I
- Convolution quadrature and discretized operational calculus. II
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
- Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings
- Local high-order regularization and applications to \(hp\)-methods
- Stable numerical coupling of exterior and interior problems for the wave equation
- Energy norm based error estimators for adaptive BEM for hypersingular integral equations
- Theoretical aspects of the application of convolution quadrature to scattering of acoustic waves
- On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces
- Les espaces du type de Beppo Levi
- Generalized convolution quadrature with variable time stepping
- Multistep and Multistage Convolution Quadrature for the Wave Equation: Algorithms and Experiments
- G-stability is equivalent toA-stability
- A space-time BIE method for nonhomogeneous exterior wave equation problems. The Dirichlet case
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- Retarded Potentials and Time Domain Boundary Integral Equations
- Hypernumbers. Part I. Algebra
- Formulation variationnelle pour le calcul de la diffraction d'une onde acoustique par une surface rigide
- The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
- On the Convergence of Difference Approximations to Nonlinear Contraction Semigroups in Hilbert Spaces
- Formulation variationnelle espace‐temps pour le calcul par potentiel retardé de la diffraction d'une onde acoustique (I)
- Solving Ordinary Differential Equations II
- Fully discrete Kirchhoff formulas with CQ-BEM
- Solving Boundary Integral Problems with BEM++
- Retarded boundary integral equations on the sphere: exact and numerical solution
- Galerkin Finite Element Methods for Parabolic Problems
- Boundary Element Methods